A fireman d = 39.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 31.0° above the horizontal as shown in the figure. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building?

Answers

Answer 1

The height will be 11.4m

The height at which the stream of water strikes the building can be found by solving for h in the equation:

h = viy * t - (1/2)gt^2

Where:

viy (vertical component of velocity) = vi * sin(i) = 40.0 m/s * sin(31.0°)

t = d / vix = 39.0 m / (40.0 m/s * cos(31.0°))

g = 9.8 m/s^2

By substituting the values, we can find that the height of the stream strikes the building is approximately:

h = (40.0 m/s * sin(31.0°)) * (39.0 m / (40.0 m/s * cos(31.0°))) - (1/2)(9.8 m/s^2)((39.0 m / (40.0 m/s * cos(31.0°)))^2

Therefore, h = 11.4 m

Learn more about kinematics at,

https://brainly.com/question/26138583

Answer 2
Final answer:

To determine the height at which the stream of water will strike the building, we can calculate the horizontal distance and vertical component of the stream's velocity. By using the formulas for horizontal distance, vertical component, time, and height, we can solve for the height at which the stream will strike the building. In this case, the height is approximately 19.9 meters.

Explanation:

To determine the height at which the stream of water will strike the building, we need to consider the vertical and horizontal components of the stream's velocity. We can calculate the horizontal distance the water travels using the formula d = vit. In this case, d = 39.0 m (the distance from the fireman to the building), vi = 40.0 m/s (the speed of the stream), and t is the time it takes for the water to reach the building. Since the water is fired at an angle of 31.0° above the horizontal, the vertical component of its velocity can be found using the formula vfy = visin(i). Once we have the vertical component of the stream's velocity, we can calculate the time it takes for the water to reach the building using the formula t = d/vix. Finally, we can use the time and the vertical component of the stream's velocity to find the height at which the stream will strike the building using the formula y = vfy × t - 0.5gt², where g is the acceleration due to gravity (approximately 9.8 m/s²).

Plugging in the values, we get:

d = 39.0 m

vi = 40.0 m/s

i = 31.0°

vfy = vi × sin(i)

t = d/vix

y = vfy × t - 0.5gt²

After calculating all the values, the height at which the stream of water will strike the building is approximately 19.9 meters.

Learn more about Calculating height of stream of water here:

https://brainly.com/question/32461945

#SPJ2


Related Questions

suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. then you must be located at group of answer choices latitude 50 degrees south. latitude 40 degrees north. longitude 40 degrees. latitude 40 degrees south.

Answers

"Suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. Then you must be located at latitude 40 degrees south." The correct option is 4th.

The local sky's star heights are unaffected by longitude.

The celestial equator and celestial horizon would coincide. Now picture yourself on the Earth's equator, at 0° latitude. Here the celestial equator would pass through your zenith and the north celestial pole (NCP) would lie at the North Point of the horizon and have an altitude of 0°.

Degrees north (+) or south (-) of the celestial equator are used to measure declination. The Earth's Equator is projected onto the Celestial Sphere to create the Celestial Equator. By definition, the CE has a declination of 0 degrees.

To know more about latitudes:

https://brainly.com/question/21098820

#SPJ4

if the vessel has a pinhole-sized leak, which of the following will be true regarding the relative values of the partial pressures of the gases remaining in the vessel after some of the gas mixture has effused?

Answers

The option that will be true regarding the relative values of the partial pressures of the gases remaining in the vessel after some of the gas mixture has effused is;

A) Pressure He < Pressure Ne < Pressure Ar

What is pressure?

Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units. Pressure is the force acting on a unit area of a surface. It works perpendicular to the surface under pressure. Pressure = force multiplied by the area on which it operates. Pressure is defined as the amount of force exerted perpendicular to an object's surface per unit area, and the symbol for it is p. (or P). The pascal is the SI unit of pressure (Pa).

Here,

The option that will be true in terms of the relative partial pressures of the gases remaining in the vessel after some of the gas mixture has been effused is;

A) Pressure He < Pressure Ne < Pressure Ar

To know more about pressure,

https://brainly.com/question/12824418

#SPJ4

two identical springs are attached to two different masses, ma and mb , where ma is greater than mb . the masses lie on a frictionless surface. both springs are compressed the same distance, d , as shown in the figure. which of the following statements descibes the energy required to compress spring a and spring b?

Answers

The amount of energy required to compress spring A and spring B would be the same.

What is energy?

Energy is the capacity to do work. It is the ability to cause change and is found in many forms, including chemical, electrical, mechanical, nuclear, radiant, and thermal energy. It is often referred to as the "lifeblood" of our modern society, as it is necessary for everything from powering homes and businesses, to providing energy for transportation and communication.

This is because the springs are identical and the amount of compression (d) is the same. The masses of the objects don't affect the energy required to compress the springs since the objects are lying on a frictionless surface and will not resist the springs being compressed.

To learn more about energy
https://brainly.com/question/2003548
#SPJ4

follow the example below to write and equation and sketch a graphical model of energy in each situation

Answers

The Energy equation for the pendulum at the lowest position will be  E(total low) = KE(Low) + ThE(low) and for soccer at maximum height E(high) = KE(high) + PE(max).

For a pendulum, at the lowest point, all the potential energy is converted into kinetic energy and the pendulum motion reaches its maximum velocity. Ignored air resistance. Therefore, no heat energy is generated. This means that all potential energy is converted into kinetic energy. Taking drag into account, the final energy is the sum of thermal energy and kinetic energy, so the sum of the two equals the potential energy of the tip.

E(total low) = PE(low) + KE(low) + ThE(low)

PE(low) = 0

so, E(total low) = KE(Low) + ThE(low) = PE(high)

For a soccer ball, the ball has a horizontal velocity component at its highest point and reaches a certain height. The top speed is slower than the initial speed. The total energy at the tip is therefore equal to the sum of the kinetic and potential energies. As in the previous case, the thermal energy is missing because we ignored the resistor.

E(high) = KE(high) + PE(max)

Therefore, the Energy equation for the pendulum at the lowest position will be  E(total low) = KE(Low) + ThE(low) = PE(high) and for soccer at maximum height E(high) = KE(high) + PE(max).

To learn more about total energy:

https://brainly.com/question/15576394

#SPJ4

The complete question is:

follow the example below (the figure attached) to write an equation and sketch a graphical model of energy in each situation. Write down the expanded total energy equation in the case of the pendulum at tje low position and for the soccer ball at its maximum height. Also, make the pie chart diagram of different forms of energy (PE, KE, and ThE).

A crate of mass m1 = 14.00 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.30 kg. The crates move 1.61 m, starting from rest.



Find the work done by gravity on the sliding crate.

Answers

The work done by gravity on the sliding crate is 176.6 J.

What is the work done by gravity on the sliding crate?

The work done by gravity on the sliding crate is calculated by applying the following formula.

W = Fd cosθ

W = mg x d cosθ

where;

m is the mass of the crateg is acceleration due to gravityd is the displacement of the crateθ is the angle of inclination of the rope

W = ( 14 kg x 9.8 m/s² ) x ( 1.61 m ) x cos ( 36.9 )

W = 176.6 J

Learn more about work done here: https://brainly.com/question/8119756

#SPJ1

A cheetah is running at 40 m/s and catches his prey at 12 m/s. The chase took 30s. What is the
acceleration?

Answers

Formula for acceleration:

[tex]a=\dfrac{Vf-Vi}{t}[/tex]

acceleration(measured in m/s^2) = Final velocity(measured in m/s) - Initial velocity(measured in m/s) / time(measured in seconds)

__________________________________________________________

Given:

[tex]Vi=40m/s[/tex]

[tex]Vf=12m/s[/tex]

[tex]t=30s[/tex]

[tex]a=?[/tex]

__________________________________________________________

Finding acceleration:

[tex]a=\dfrac{Vf-Vi}{t}[/tex]

[tex]a=\dfrac{12-40}{30}[/tex]

__________________________________________________________

Answer:

[tex]\fbox{a = -0.93 m/s squared}[/tex]

if the cart moves along the track at a constant speed, what are the cart's velocity and acceleration vectors at points a, b, and c? start your vectors at the corresponding black dots. the orientation of your vectors will be graded. the exact length of your vectors will not be graded.

Answers

Since the cart moves along the track at a constant speed, its velocity vector at points a, b, and c will have the same magnitude and direction.

The velocity vector can be represented as an arrow pointing in the direction of motion with the magnitude being the speed of the cart.

The acceleration vector at points a, b, and c will be zero since the cart is moving at a constant speed. The acceleration vector can be represented as a zero vector or a vector of length 0 with no direction.

So, the velocity and acceleration vectors at points a, b, and c can be represented as:

Point a:

Velocity vector: constant magnitude and directionAcceleration vector: zero vector

Point b:

Velocity vector: constant magnitude and directionAcceleration vector: zero vector

Point c:

Velocity vector: constant magnitude and directionAcceleration vector: zero vector

Learn more about velocity here:

https://brainly.com/question/25905661

#SPJ4

Dependent, immature children who frequently misbehave were most likely raised by _____ parents.

(a) authoritarian

(b) authoritative

(c) generative

(d) overly permissive.

Answers

Answer: d

Btw if you get it wrong, sry.. :(

I think its d because overly permissive means that you give people freedom and if a parent gives their kid freedom they would be very dependent and immature. (freedom as in the parent dosen't care what the kid does and gives into the kid.)

According to the TARGET acronym, which of the following is not a measure to use to foster a mastery-oriented environment

Answers

According to the acronym TARGET, affiliation is not a strategy to support a mastery oriented environment.

Creating a mastery oriented environment is where students are actively engaged in the learning process, setting and achieving meaningful goals, and feeling a sense of accomplishment. TARGET is a useful acronym for that goal.

TARGET stands for:

Trust: Building trust between teacher and students is essential so that it increases the likelihood for taking risks and giving feedback.

Authenticity: Teachers must be authentic in their interactions with students. This means being genuinely interested and honest in teaching and assessment.

Respect: It is important to create an atmosphere of respect in the classroom. Respect should be shown to all students.

Growth Mindset: A growth mindset is essential and it means emphasizing effort and progress over ability and success.

Expectations: Teachers should set clear expectations for students, but be flexible in how these expectations are met.

Affiliation is not a measure for fostering a mastery-oriented environment.

It refers to the quality of being intimately connected to or allied with a certain individual, organization, party, business, etc.

Learn more about mastery oriented environment here:

https://brainly.com/question/30010700

#SPJ4

A mass is attached to a vertical spring and set into vibration. The highest point of the motion is Point A and the lowest point of the motion is Point B. At what position or positions in its motion is the object's potential energy at a maximum? (Consider the potential energy of the mass-Earth-spring system.)

Answers

Midway between A and B is the position in its motion when is the object's potential energy at a maximum.

A body's mass is an inherent quality. Before the understanding of the atom and particle physics, it was widely considered to be tied to the amount of matter present in a physical body. A body's mass doesn't quite alter at any point in time.

Simply put, a mass-Earth-spring system is a spring device with a block hanging or fastened to the open end of the spring. The duration of any item moving in a simple harmonic motion may typically be determined using this system.

To learn more about potential energy  here

brainly.com/question/24284560

#SPJ4

in the collision theory of kinetics, which of the following is required to have a successful collision? select all that apply. i. three or more species must collide simultaneously. ii. a collision of the appropriate orientation must occur. iii. transfer of energy must occur in a collision such that the molecule has energy equal to or greater than the activation energy. iv. the temperature of the sample must be greater than 298k. v. formation of products.

Answers

The following is required to have a successful collision: ii. A collision of the appropriate orientation must occur,  iii. Transfer of energy must occur in a collision such that the molecule has energy equal to or greater than the activation energy, v. Formation of products.

What is collision?

Collision is when two objects come in contact with one another and experience a force as a result. This force can be a direct result of the objects hitting each other, or it can be the result of the objects exerting a force on one another in order to move away. In either case, the objects experience a momentary change in their respective velocities.

To learn more about collision
https://brainly.com/question/29549592
#SPJ4

Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
points***

The battery has an internal resistance of 2.50
4.1 Show that the resistance of the 6.2 V, 4.5 W lamp at its working potential difference
(pd) is about 9.

Look at photo for more info
4.2 The terminal pd across the battery is 6.2 V.
Calculate the emf of the battery.

rope
Pulleys P and M are frictionless so that the tension in the rope attached to A is equal to the weight of A
A weighs 35 N and the weight of moveable pulley M is negligible.

Calculate the tension in the horizontal cable C when the gate is closed.
tension
3.3 Pulley M is pulled to the left as the gate is opened.
10/36
Explain why this increases the tension in the horizontal cable C.

Answers

The resistance of working potential difference of the 6.2 V, 4.5 W lamp is 8.54 ohm. When terminal pd across the battery is 6.2 V, the emf of the battery is 8.01 V.

What is resistance?

The opposition that a substance provides to the flow of electric current is referred to as resistance. The uppercase letter R represents it. The ohm is the standard unit of resistance, which is sometimes written as a word and sometimes represented by the uppercase Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega ().

Here,

r=2.5 ohm

V= 6.2 volts

P=4.5 watt

P=V²/R

R=V²/P

R=6.2*6.2/4.5

R=8.54 ohm that is about 9 ohm.

I=V/R

I=0.726 A

EMF=V+Ir

=6.2+0.726*2.5

=6.20+1.81

=8.01 volts

The resistance of the 6.2 V, 4.5 W lamp at its working potential difference is 8.54 ohm. The emf of the battery when terminal pd across the battery is 6.2 V is 8.01 V.

To know more about resistance,

brainly.com/question/13258713

#SPJ1

The drawing shows two situations in which charges are placed on a and y axes. They are located at the same distance if 6.80cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin

Answers

The electric field strength from the origin is  1.95 x 10¹² q ( N/C ).

What is electric field?

The electric field of a charged particle is the region of space where the influence of electric force is felt.

Mathematically, the formula for electric field strength is given as;

E = kq / r²

where;

k is the Coulomb's constantq is the magnitude of the charger is the position of the charge

The electric field strength from the origin is calculated as follows;

E = ( 9 x 10⁹ x q ) / ( 0.068 m )²

E = 1.95 x 10¹² q ( N/C )

Learn more about electric field strength here: https://brainly.com/question/14372859

#SPJ1

An electron is launched at a 45∘ angle and a speed of 5.0×106m/s from the positive plate of the parallel-plate capacitor shown in the figure (Figure 1). The electron lands 4.0 cm away.
Part a) What is the electric field strength inside the capacitor?
Part b) What is the smallest possible spacing between the plates?

Answers

(a) The electric field strength inside the capacitor is 2,519.35 N/C.

(b) The smallest possible spacing between the plates is 2 cm.

What is the time of motion of the electron?

The time of motion of the electron is calculated as follows;

X = Vₓt

t = X / Vₓ

where;

Vₓ is the horizontal component of the velocityX is the horizontal displacementt is the time of motion

t = ( 0.04 m ) / ( 5 x 10⁶ x cos 45 )

t = 1.13 x 10⁻⁸ s

The force of the electron is calculated as follows;

F = mv / t

where;

m is the mass of the electronv is speedt is the time

F = ( 9.11 x 10⁻³¹ x 5 x 10⁶ ) / ( 1.13 x 10⁻⁸ )

F = 4.03 x 10⁻¹⁶ N

The electric field strength inside the capacitor is calculated as follows;

E = F / q

E = ( 4.03 x 10⁻¹⁶  ) / ( 1.6 x 10⁻¹⁹ )

E = 2,519.35 N/C

The smallest possible spacing between the plates is calculated as follows;

vertical acceleration of electron;

a = ( Vy ) / t

a = ( 5 x 10⁶  x sin45 ) / ( 1.13 x 10⁻⁸ )

a = 3.13 x 10¹⁴ m/s²

The vertical displacement of the electron;

0 = Vy² - 2ay

y = Vy² / 2a

y = ( 5 x 10⁶ x sin 45 )² / ( 2 x  3.13 x 10¹⁴ )

y = 0.02 m

y = 2 cm

Learn more about electric field here: https://brainly.com/question/14372859

#SPJ1

Methane and oxygen combine in a synthesis reaction. true or false

Answers

Answer:

True.

Explanation:

A synthesis reaction is a type of chemical reaction in which two or more substances combine to form a new compound. Methane (CH4) and oxygen (O2) can combine in a synthesis reaction to form carbon dioxide (CO2) and water (H2O). This reaction is exothermic and is the basis of combustion reactions.

The balanced equation for this reaction is:

CH4 + 2O2 -> CO2 + 2H2O

In this reaction, one methane molecule and two oxygen molecules combine to form one carbon dioxide molecule and two water molecules.

It's worth mentioning that methane is considered a greenhouse gas, and the combustion of methane releases carbon dioxide and water vapor into the air, which contribute to global warming and climate change.

The answer is true you can even look up on the web… I will also give you a site where you can learn more…

Under what conditions, if any, will the trajectory of a charged particle not follow a field line?

Answers

A charged particle will not follow a field line if it is subjected to an external force that is greater than the force of the electric field.

What is electric field?

Electric field is an area of influence created by an electric charge. It is a vector field that surrounds a charged particle or object and exerts a force on other charged particles or objects in its vicinity. Electric fields are created by the movement of electrons and protons, which are both components of atoms. The strength of an electric field is determined by the amount of charge present, as well as the distance from the source.

For example, if a charged particle is subjected to a strong magnetic field, it will experience a Lorentz force which can cause the particle to deviate from its original trajectory and follow a curved path instead of following the field line.

To learn more about electric field
https://brainly.com/question/30144963
#SPJ4

T/F deciding that a process that fills bottles with soda is functioning properly by checking the weights for a sample of bottles is an example of inferential statistics.

Answers

Inferential statistics is used to determine whether a process that fills bottles with soda is working properly by weighing a sample of bottles, so the given statement is true.

What is Inferential statistics?Inferential statistics is a branch of statistics that employs analytical tools to draw conclusions about a population by analyzing random samples. Inferential statistics seek to make broad generalizations about a population.Descriptive statistics are statistics that summarize the characteristics of a data set. Inferential statistics allow you to test a hypothesis or determine whether your data can be generalized to a larger population.Inferential statistics, or hypothesis testing, allows us to draw conclusions about an entire population based on a representative sample.Inferential statistics most common methodologies are hypothesis tests, confidence intervals, and regression analysis. Surprisingly, these inferential methods can produce summary values that are similar to descriptive statistics like the mean and standard deviation.

To learn more about Inferential statistics refer to :

https://brainly.com/question/18499755

#SPJ4

in the circuits shown, the brightness of the bulbs is observed to compare as follows: a is the brightest, and b and c are equally bright and dimmer than A (A>B=C)
Why is bulb A brighter than bulb B or C?
Because the voltage is greater across A than across B or C
Because the current is greater through A than through B or C
Because the circuit containing bulb A has less overall resistance
Because there is more curren from the battery in the circuit containing bulb A Because bulbs B and C only get half the current from the battery, while A gets all of it

Answers

The reason bulb A is brighter than bulbs B and C is because it has a higher voltage and a lower resistance than either of them.

What is lower resistance?

Lower resistance is the measure of how easily an electrical current can flow through an object or circuit. It refers to how much opposition a material presents to the flow of an electric current. The lower the resistance of a material, the easier it is for an electric current to flow through it, and the higher its conductivity.

This is because the circuit containing bulb A has the least overall resistance, meaning more current is able to flow through it and it is able to operate at a higher voltage. This means that the current is able to provide more energy to the bulb, causing it to be brighter than bulbs B and C.

To learn more about lower resistance
https://brainly.com/question/15035357
#SPJ4

find the magnitude of the electric field, in newtons per coulomb, at the center of the triangular configuration of charges, given that qa

Answers

4.33×103 N/C, 35.0∘ below the positive x-axis if qa=+2.50 nC, qb=−8.00 nC, and qc=+1.50 nC are the charges on all the three vertexes of an equilateral Triangle.

As we know the electric field at a point due to a charged particle is E = F/q where f is the force and q is the charge. If the orientation of charges is the same as shown in the image attached then

E = KQq/[tex]r^{2}[/tex]q  where k = 8.99 × 10 9 N ⋅ m 2 /C 2.

where Q is charged  particle and q is another charge so

E = 8.99 × 10 9*2.50*8.00 /3/4r*2.5

which results in

4.33*10^3 N/C

that is the net electric field at the center of the Triangle with charges on all the vertexes.

Learn More about Electric Field: https://brainly.com/question/14372859

#SPJ4

As CJ k ad l ad my G My h KD h KD h my SJ KD zhh MD

Answers

Cause: According to this law, the skateboard requires an external source of force to move, which the skateboarder indirectly provides.

Effect: On the pavement, the skateboarder reverses forward (that is he applies a force on the road in a direction opposite the direction of intended motion).

What connection exists between a cart's mass and its acceleration after the spring is let go?

The acceleration of the cart is inversely proportional to its mass. As a result, the acceleration of the cart will decrease as its mass increases.

The mass and acceleration are inversely correlated: the acceleration decreases as mass increases.

Newton's second law states that force and acceleration are directly proportional to one another, so if a cart's mass is held constant while the force acting on it increases, the cart will accelerate. When an object moves, it has kinetic energy, which it then expends.

To learn more about acceleration refer to;

brainly.com/question/460763

#SPJ1

When a metal surface is illuminated with light of wavelength 437 nm, the stopping potential for photoelectrons is 1.67 V. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, e = -1.60 × 10-19 C, 1 eV = 1.60 × 10-19 J, mel = 9.11 × 10-31 kg)
(a) What is the work function of the metal, in eV?
(b) What is the maximum speed of the ejected electrons?

Answers

(a) Work function of the metal is 2.74 eV. (b)  maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)

What is work function?

The work function is the minimum energy required to remove an electron from the surface of a metal.

AS, Work function (Φ) = hν - eV0

(V0) is stopping potential  and  (ν) is the frequency of the incident light

Given, wavelength of the incident light is 437 nm,

ν = c / λ = 3.00 x 108 m/s / 437 x 10-9 m = 6.87 x 1014 Hz

Hence, Φ = hν - eV0 = 6.626 x 10-34 J ∙ s * 6.87 x 1014 Hz - 1.60 x 10-19 C * 1.67 V = 4.36 x 10-19 J = 2.74 eV

So the work function of the metal is 2.74 eV.

(b) Maximum speed of the ejected electrons can be calculated using the formula: Vmax = √(2eV0/mel)

Vmax is the maximum speed of the ejected electrons, e is charge of an electron, V0 is stopping potential and mel is mass of the electron.

Vmax = √(2 * -1.60 x 10^-19 C * 1.67 V / 9.11 x 10^-31 kg) = 1.15 x 10^6 m/s

So, the maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)

To know more about work function, refer

https://brainly.com/question/19427469

#SPJ4

Which of the following determines the earth's temperature?
Answers:
A. Carbon dioxide in the atmosphere
B. Energy output of the sun
C. All of these are correct.
D. Distance from the sun

Answers

The greatest option is C because all of them are correct. The planet's temperature is affected by the sun's energy output, the amount of carbon dioxide in the atmosphere, and its distance from the earth.

The atmosphere of Earth is the layer of gases with high speed, collectively known as air, that envelops the planet and gives it its planetary atmosphere. The Earth's atmosphere keeps life on the planet safe by maintaining the pressure necessary for liquid water to exist on the surface. The distance between any two places in space is equal to the length of the straight line connecting them, which is also the shortest path. This is the usual conception of distance in classical physics, especially in Newtonian mechanics.

Learn more about speed here

https://brainly.com/question/28224010

#SPJ4

A machine of efficiency 80% does 3000j of work. caculate the energy used in over function?​

Answers

The machine does 3000 J of work.

This is 80% of the energy that was put into the machine.

3000 J = 0.80 x (Input energy)

Divide both sides of the equation by 0.80 .

Input energy = 3000 J / 0.8

Input energy = 3750 J

A⃗ = 22x^ + (-14)y^, and B⃗ = 2.5x^ + 13y^. Express A⃗ −B⃗ in unit vector notation.

Answers

The unit vector notation in the given direction is [tex]0.58 \hat x + 0.81 \hat y[/tex].

What is vector quantity?

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

In terms of subtracting a vector, it works the same as adding the vector's opposite.

Given that:

[tex]\vec A = 22 \hat x + (-14)\hat y,\\\vec B = 2.5\hat x + 13\hat y.[/tex]

( two given vectors are written here.)

Therefore: the subtraction of these two vectors will be:

[tex]\vec A - \vec B = (= 22 \hat x + (-14)\hat y) - (2.5\hat x + 13\hat y)\\= 19.5\hat x - 27 \hat y[/tex]

Unit vector in that direction of vectors  is =

[tex]= \frac{19.5\hat x - 27 \hat y}{\sqrt{19.5^2 + (-27)^2} } \\= 0.58 \hat x + 0.81 \hat y[/tex]

Learn more about vector quantity here:

https://brainly.com/question/3482586

#SPJ1

factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is [ select ] . additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called [ select ] .

Answers

Factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is 13.8 billion years old. additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called Multiverse Theory .

The multiverse theory is the idea that there may be multiple universes existing in parallel to our own, with their own laws of physics, laws of nature, and potentially different versions of ourselves. The multiverse theory has been proposed by many scientists.

To learn more about Universe

brainly.com/question/9724831

#SPJ4

Using an ohmmeter, a student measures the resistance between various points on his body. He finds that the resistance between two points on the same finger is about the same as the resistance between two points on opposite hands—both are several hundred thousand ohms. Furthermore, the resistance decreases when more skin is brought into contact with the probes of the ohmmeter. Finally, there is a dramatic drop in resistance (to a few thousand ohms) when the skin is wet. Explain these observations and their implications regarding skin and internal resistance of the human bo

Answers

The resistance between two points on the same finger is likely due to the resistance of the skin and the small amount of muscle and fat that is present in the finger.

What is the cause of resistance between two points on opposite hands?

The resistance between two points on opposite hands is likely due to the resistance of the skin and the larger amount of muscle and fat that is present in the hand. The resistance decreases when more skin is brought into contact with the probes of the ohmmeter because more skin in contact means more surface area for the current to flow through, thus reducing the resistance. The dramatic drop in resistance when the skin is wet is likely due to the fact that water is a better conductor than dry skin. This observation suggests that the resistance of the human body is largely due to the resistance of the skin, and that the internal resistance of the body (i.e., the resistance of muscles, bones, etc.) is relatively low in comparison.

To know more about conductor, visit:

https://brainly.com/question/18084972

#SPJ4

Small spheres of diameter 1.05 mm fall through 20.0°C water with a terminal speed of 2.34 cm/s. Use 1.00 x 10-3 §a for the viscosity of water. Calculate the density of the spheres.

Answers

The density of the spheres is 1.004 gm/cm³.

What is terminal velocity?

The maximum velocity attained by an object as it falls through a fluid is known as terminal velocity.

It occurs when the sum of the drag and buoyancy forces acting on the object equals the downward force of gravity. Because the object's net force is zero, it has no acceleration.

The  terminal speed = 2.34 cm/s.

The viscosity of water =  1.00 × 10⁻³ CGS unit.

Terminal velocity: v =  (2/9)(σ − ρ)gr²/η.

σ = 9vη/{2gr²} + ρ

= (9 × 2.34 × 1.00 × 10⁻³)/(2×980×(0.105/2)²) + 1

= 1.004 gm/cm³

Hence, The density of the spheres is 1.004 gm/cm³.

Learn more about terminal velocity here:

https://brainly.com/question/2654450

#SPJ1

Below is an outline of Louis Pasteur's swan-neck flask experiment. What can you conclude from his results? Alr escapes from open end of flask. Microorganisms from air settie in bend. 88=-= Years Hours days 1 Broth storized air escapes Broth allowed to cool slowly- air enters 5 Broth stays store Indefinitely Bacteria multiply in broth 4 Flask tiled so that the sterile broth comes in contact with micro- organisms from air. Spontaneous generation is incorrect Only life can beget life Microbes can be found in the air Vital forces cannot travel up the swan-neck flask. Without it, nothing can survive in the broth Spontaneous generation is still a valid theory. The bacteria in the broth came from the broth itself

Answers

The term "spontaneous generation" is erroneous. Only life can give birth to more life. Airborne microbes can be detected.

What is experiment?

A scientific experiment is any method that uses measurements and tests to confirm or deny a theory. A hypothesis is a notion that looks to be true but has yet to be confirmed, from which a study might be created. A basic experiment often addresses a "What would happen if...?" cause-and-effect inquiry. For example, you're wondering if misting a plant with water helps it develop faster. You get a sense of how the plant grows without being misted and then compare it to how it grows after being misted.

Here,

The phrase "spontaneous generation" is incorrect. Only life can create more life. Microbes in the air can be detected.

To know more about experiment,

https://brainly.com/question/29865934

#SPJ4

a cylinder weighing 120 n rests between two frictionless walls as shown. the wall reaction in newton at point a is most nearly

Answers

The wall reaction at point A in newton is most nearly calculated to be equal to 60 N.

What is wall reaction?

Wall reaction means that when you push on a wall, the wall pushes back on you with force equal in strength to the force you exerted.

Cylinder is in a state of static equilibrium, which means that net force and net torque acting on it are both zero. Force exerted by the wall at point A is equal in magnitude but opposite in direction to force exerted by the cylinder on wall at point A. Since the cylinder is not accelerating, net force acting on it is zero.

Since the force exerted by the wall at point A is equal in magnitude but opposite in direction to the weight of the cylinder, we say that the wall reaction at point A = 1/2 * weight of cylinder = 1/2 * 120 N = 60 N.

To know more about reaction force, refer

https://brainly.com/question/14360695

#SPJ4

evaluate the numerical value of the final momentum of the t-shirt using the results from parts a and b. view available hint(s)

Answers

The final momentum of the t-shirt can be evaluated by multiplying the mass of the t-shirt (from part a) by its final velocity (from part b). Final momentum = (1.0 kg) x (20.0 m/s) = 20 kg m/s.

What is final momentum?

Final momentum is the momentum of an object after it has been acted upon by an external force. It is calculated by taking the initial momentum of an object and adding or subtracting the force of the external force to determine the final momentum. The final momentum is equal to the initial momentum plus the change in momentum caused by the external force. Final momentum can be calculated using the equation pfinal = pinitial + FΔt, where pfinal is the final momentum, pinitial is the initial momentum, F is the force of the external force, and Δt is the change in time caused by the force.

To learn more about final momentum
https://brainly.com/question/26485142
#SPJ4

Other Questions
In the article Sweets for the Sweets On Study IslandThe information about the acids that are created from the sugar in sweets and bacteria from teeth comes from A. Smile Magazine .B. Science and Service Magazine.C. Jaws.D. The journal of the American Medical Association. The Constitutional Convention took place in May 1787. It was held in the same place where the Declaration of Independence was drafted and the Articles of Confederation were signed. Where was the convention held? The graph of the linear function passes through the points (4, 24) and (6, 30).What is the equation of the function?y =x +? TRUE OR FALSE: In an inverted sentence, the predicate comes AFTER the subject.O TrueO False Ingrid has 14. 4 meters of string to hang 5 pennants and a banner at her school. She needs 0. 65 meter of string for the banner and the same length string for each pennant. What length of string will be used to hang each pennant? Write and solve a two-step equation Which of the following are two popular data visualization platforms? a. Excel and PowerPoint b. OLTP and OLAP c. Apache and Cassandra d. Power BI and Tableau what factor of light has proven to be the most critical to floral development? what are the major parts of the ipcc? (select all correct answers) group of answer choices the u.s. state department working group i working group iii working group ii task force on national greenhouse gas inventories which of the following statements about sending work instant messages after work hours are true? (choose every correct answer.) which meal contains foods from all food groups represented in myplate? a. chef's salad containing ham, lettuce, an egg, dressing, and croutons; bagel; apple; and soft drink b. steak; baked potato with margarine; broccoli; salad with oil and vinegar dressing; and milk c. refried beans, onions, tomatoes, and cheddar cheese wrapped in a tortilla; orange; and water d. pasta, marinara (tomato) sauce with clams; house salad with vegetables; italian bread with butter, and wine. identify the stage of mitosis where the sister chromatids separate and each daughter cell gets one chromosome. according to scientists, earths ________ will eventually be fully restored. a difference between the caste system in india and the caste system in south africa is that in india, caste is based in part on __ . group of answer choices occupation racial classification wealth religious identification As American colonists questioned British rule, public discussion focused on topics such as colonial independence and individual rights. In turn, literature from the American Revolutionary period often reflected important political and social themes, including national independence, personal liberty, and individualism. In your opinion, how does the literature of this period influence future generations of American literature? Where have you seen traces of these themes and how were they presented in the other literature you read? Read the texts. Text 1 Video games can be fun. The graphics are usually amazing. They have lifelike characters and backgrounds that look like real places. Even so, I get bored playing them. There's no real purpose to themthey're just a mindless activity. I would rather be outside playing real games, not just sitting in one place in front of a screen. Why play a computer game pretending to run and jump when you can actually run and jump? Text 2 I have always loved playing video games. I used to play only action games that let me move a character through, over, and around obstacles. Now I prefer games that help me think. When I was struggling with problem-solving, my teacher suggested some fun puzzle games. No matter the type of game, though, I love the eye-catching graphics with different textures and colors. Sometimes, the game world seems more real and exciting than the outside world. Which author would agree with the opinions below? Questions answered 26 Time elapsed 00 21 05 HR MIN SEC SmartScore out of 100 19 Need a break? Scratchpad Company | Blog | Help center | User guides | Tell us what you think | Testimonials | Contact us | Terms of service | Privacy policy IXL Learning 2023 IXL Learning. All rights reserved. "The opening of a routine inquiry should always" ask a specific question. Give the reader a clear sense of your purpose. Orient the reader with a brief background statement. Use a broad question to introduce the more specific questions you will ask in the body. Provide an explanation of why you are making the inquiry. ? Caracteristicas de la historiaNacionalMundial a ball is thrown upward from the ground with an initial speed of 17.2 m/s; at the same instant, another ball is dropped from a building 20 m high. after how long will the balls be at the same height above the ground? Evaluate \dfrac{e}{4}+2f-3 4e +2f3start fraction, e, divided by, 4, end fraction, plus, 2, f, minus, 3 when e=12e=12e, equals, 12 and f=\dfrac12f= 21 what are the characteristics of tacacs ? (select 3 answers) group of answer choices combines authentication and authorization encrypts only the password in the access-request packet primarily used for network access separates authentication and authorization encrypts the entire payload of the access-request packet primarily used for device administration