The given statement "When the bob of a simple pendulum is straight down during a cycle, the potential energy will be at maximum since its mass is traveling at a maximum velocity" is FALSE. It is because
The potential energy will be zero as the height reaches the lowest. Its mass is travelling at a maximum velocity so that it makes the kinetic energy at maximum.How to determine the potential energy on a pendulum?On a moving pendulum bob, there will be kinetic and potential energy. The kinetic energy is dependent on the velocity, while the potential energy is dependent on the height of object.
However, the sum of the two forms of energy is conserved. This is based on the Conservation of Mechanical Energy. It states that the total mechanical energy of a system is conserved. It can be expressed as
E initial = E final
KE₁ + U₁ = KE₂ + U₂
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E = mechanical energyKE = kinetic energyU = potential energym = mass of an objectv = speed of objecth = height of objectThe index 1 and 2 shows at point 1 (initial) and 2 (final).
Bob of a simple pendulum.
At the maximum velocity, the height is at the lowest, straight down during a cycle. It is at mean position. The potential energy is close to zero because the height is also close to zero.
Meanwhile, at the minimum velocity (close to zero), the height of a pendulum is at the highest. The potential energy is at the highest and the kinetic energy is zero.
Hence, when the bob of a simple pendulum is straight down during a cycle, the potential energy will be zero and the kinetic energy is at maximum. The statement is false.
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A projectile is shot directly away from Earth's surface. Neglect the rotation of Earth.what multiple of Earth's radius R E
gives the radial distance a projectile reaches if (a) its initial speed is 0.500 of the escape speed from Earth and (b) its initial kinetic energy required to escape Earth (c) what is the least initial mechanical energy required at launch if the projectile is to escape Earth
A projectile is shot directly away from Earth's surface.
Find the multiple of Earth's radius that corresponds to the radial distance a projectile travels if its beginning speed is that of the escape speed from Earth and if its initial kinetic energy is that of the kinetic energy necessary to leave Earth using the concept of energy conservation. Energy cannot be created or destroyed, according to the rule of conservation of energy.
(a)In this question, [tex]V_{0}[/tex] = [tex]\sqrt{GM/2R_{E}}[/tex] is known. Using energy-saving techniques, we have
1/2m[tex]v_{0}^{2}[/tex] - GMm/R = -GMm/r
which is going to yield r = 4[tex]R_{e}[/tex]/3. There fore the multiple of [tex]R_{e}[/tex] is 4/3 or 1.33.
(b)Using the equation, we can see that [tex]K_{i}[/tex]= GMm/2[tex]R_{E}[/tex] exists in this issue, and the aforementioned adjustment (which makes use of energy conservation) results in r= 2[tex]R_{E}[/tex] in this instance. [tex]R_{E}[/tex] is therefore a multiple of 2.00.
(c)We may see from (c) that the mechanical energy is equal to zero.
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when using a wheatstone bridge to measure resistance, values of resistance are used to determine the _____ of the meter circuit.
When using a wheatstone bridge to measure resistance, values of resistance are used to determine the galvanometer of the meter circuit.
What is Galvanometer ?One of the best tools for measuring electrical current is a galvanometer. To determine and quantify the strength and direction of electrical current in circuits, this device is utilised. The working principal of a moving coil galvanometer is that a coil carrying current placed in a magnetic field experiences a torque. The deflection is made sure to be proportional to the current strength by the coil springs and radial field. A galvanometer is not used in an AC bridge because the rotating torque depends on the average current flowing through the galvanometer's coils. However, there will be no average current flowing via the AC bridge. The magnetic field is influenced by the flow of electric current.
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A net force is required to stop a 100 kg car , traveling at 3 m.s -1 . By what factor would the NT force acting on the car change if
a) the car was stopped in double time
b) the car was stopped in 1 tenth of the time
c) the car was traveling at double the velocity and it's stopped in the same time ?
You must add up all of the forces operating on a certain object in order to calculate the net force acting on that object.
How are net forces calculated?These interactions can be summed up by Newton's second law of motion. Net Force = Mass Acceleration, or F = m a, is how the preceding equation for acceleration may be expressed to solve for net force.For the 1000kg automobile to accelerate by 3m/s2, 3000N of force is required.Numerous additional forces, such as gravitational force Fg, frictional force Ff, and the normal force, act on the body when a force is applied to it. These additional forces serve to balance the original force. FNet = Fa + Fg + Ff + FN is the result, and it represents the net force formula.To learn more about net force refer to:
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A 2.4 kg block of wood sits on a frictionless table. A 3.0 g bullet, fired horizontally at a speed of 510 m/s , goes completely through the block, emerging at a speed of 180 m/s .
Part A What is the speed of the block immediately after the bullet exits?
The velocity of the block immediately after the bullet exits is 0.413 m/s in the direction of the bullet, if the weight of the block is 2.4 kg.
The mass of the bullet, m₁ = 3 g = 0.003 kg
The mass of the block, m₂ = 2.4 kg
Initial speed of the bullet, v₁ = 510 m/sec
Initial speed of the block, v₂ = 0 (at rest)
Emerging velocity of the bullet, v₃ = 180 m/s
Let the final velocity of the block, = v₄
By the law of conservation of momentum,
m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄
0.003 × 510 + 2.4 × 0 = 0.003 × 180 + 2.4 × v₄
1.53 - 0.54 = 2.4 × v₄
v₄ = 0.99/2.4
v₄ = 0.413 m/s
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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?
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
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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.
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rank the work done on the cars to create these changes in velocity. be mindful that the sign of the work value matters in the ra
We can say that forces produce changes in velocity because they alter the direction or speed of an object.
What is the name for an alteration in velocity?When an item alters its velocity, it experiences acceleration.Acceleration is the quantity measuring the speed of change. Acceleration is a vector, much like velocity, and it has both a magnitude and a direction. A car moving straight forward, for instance, is said to have forward (positive) acceleration if it is speeding up and rearward (negative) acceleration if it is slowing down.Things move because of forces. They have the power to initiate motion, as well as to slow down, stop, or reverse the motion of an item in motion. We can say that forces produce changes in velocity because they alter the direction or speed of an object.The complete question is,
Why do velocities change?
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I only need question 12 answered
A vector's length is considered to be its magnitude. A is used to represent the vector's magnitude.
A vector's magnitude can be determined in what ways?|v| =(x2 + y2) is the formula to calculate a vector's magnitude in two dimensions, where v = (x, y). From the Pythagorean theorem, this formula was obtained. In three-dimensional space, the formula to calculate a vector's magnitude is V = (x, y, z).A vector's length is considered to be its magnitude. A is used to represent the vector's magnitude. For more details on a vector's magnitude, see to its introduction. On this page, formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are developed.To learn more about vector's length refer to:
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The angle measured anticlockwise from the +x axis can be used to find vector components as well. In that instance, the x-component and y-component, respectively, will always be cos and sin.
How do you find the x and y components of a vector given velocity?The components of velocity v x=v cos and v y=v sin, where v is the magnitude of the velocity and is its direction in relation to the horizontal, have magnitudes of v x=v cos and v y=v respectively.Fill in a and b in the formula [tex]|v|=a_2+b_2 | v |=a_2 + b_2[/tex] for a vector with the values a and b. Step 2: Underly the square root first, and then simplify the square root as much as you can, to simplify the magnitude[tex]|v|=a_2+b_2 | v |=a_2 + b_2[/tex]. Finding the horizontal component requires multiplying the vector's magnitude by the cosine of the vector's angle, and finding the vertical component requires multiplying the vector's magnitude by the sine of the vector's angle.To learn more about vector refer to :
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You have 125 g
of a certain seasoning and are told that it contains 26.0 g
of salt. What is the percentage of salt by mass in this seasoning?
The percentage of salt by mass in this seasoning is 20.80%.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
You have 125 g of seasoning.
Amount of salt = 26.0 g
So, the percentage of salt by mass in this seasoning is = Amount of salt/total amount of seasoning× 100%
= 26.0 g / 125 g × 100%
= 20.80 %.
Hence, the percentage of salt by mass in this seasoning is 20.80%.
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Blake and Drew are playing horseshoes. Blake takes the first turn, and his horseshoe lands three-fourths of the way to the target. Drew takes the next turn, and his horseshoe lands past the target. Which statement best explains the results?(1 point)
The horseshoes have the same mass, but Drew threw with less force than Blake.
Drew used a horseshoe with more mass and threw with the same force as Blake.
The horseshoes have the same mass, but Drew threw with more force than Blake.
Drew used a horseshoe with more mass and threw with less force than Blake.
The statement that best explains the result is The horseshoes have the same mass, but Drew threw with more force than Blake.
The most likely explanation is that Drew threw the horseshoes harder than Blake, despite the fact that they have the same mass.
A force is an input that can change an object's motion according to physics. An object with mass might travel faster or at a different speed as a result of a force. Forces can also be conceptualized as a push or a pull. A force has strength and direction since it is a vector quantity. It is calculated using the metric newton, a SI unit (N). Newton's second law's original formulation read: "The net force of an item is equal to the rate of change of its momentum over time."
Once Blake leaves when Drew and I play horseshoes, his first horseshoe lands about three-fourths of the way to the target. The next time Drew turns, his horseshoe is off-target. Because of this, even though the two horseshoes have equivalent masses, horseshoe Drew experiences greater force and misses the target.
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what are the strength and direction of the electric field at the position indicated by the dot in (figure 1)? assume that x -axis is horisontal and points to the right, and y -axis points upward.
Velocity in x direction remains constant i.e, vx = 10 m/s Now acceleration is 0.
what are the strength and direction of the electric field at the position indicated by the dot in (figure 1)?
The electric field generated by the positive charge at the dot is directed away from the positive charge. The electric field generated by the negative charge at the dot is directed towards the negative charge.The direction of the electric field due to positive point charge is always acts away from the point charge and electric field due to the negative charge acts towards the negative charge.Because an electric field has both magnitude and direction, the direction of the force on a positive charge is chosen arbitrarily as the direction of the electric field. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.To learn more about direction refers to:
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Select the correct short description of a real object for which (Figure 1) would be a realistic position-versus-time graphO Eustace the truck driver had a load in a city 120 miles east of El Dorado. He drove west at Gomph for two hours to El Dorado where he spent an hour unloading the truck and loading up front cargo. He then drove backeasta 40gph for two hours to the final de cast of Dorado O Eustace the truck driver had a loadina cy 120 miles east of Dorado. He drove west at 60 mph for two hours to El Dorado where he spent two hours unloading the true and loading up forent cargo. He then drove west at 60 mph for two hours to the final destination 30 miles west of Dorado O Eustace the truck driver had a loadina 120 miles east of El Dorado. He drove west ato mph for two hours to El Dorado where he spent two hours unloading the truck and loading up different cargo. He then drove back cast at 40 mph for two hours to the final de miles east of Dorado O Eustacher had a d a y 120 east of El Dorado e dove where he spent an hour anger and leading up ort cargo. He then drove final destination miles west of El Dorado t ph for two hours Dorado
The constellation Dorado can be found in the southern sky is the correct short description of real object.
Dorado: what is it?
In the southern hemisphere, the constellation Dorado can be seen . One of the 88 constellations that are currently in existence, it was given a name toward the end of the 16th century. The dolphinfish (Coryphaena hippurus), more commonly referred to as dorado in Spanish, is referred to in the name despite being shown as a swordfish. The remaining portion of the Large Magellanic Cloud is in the constellation Mensa, with the majority of the cloud in the constellation Dorado. The South Ecliptic pole can also be found in this constellation.
Astronomers use the Latin genitive form Doradus to name its stars, giving the Spanish name Dorado; Together with the nearby asterism Argo Navis, it is thought to be a feminine proper name of Greek origin that ends in -. like Argo, Io, or Callisto).
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a 2.3 g plastic bead charged to -4.3 nc and a 3.8 g glass bead charged to 17.5 nc are 2.1 cm apart (center to center). part a what are the magnitudes of the accelerations of the plastic bead and the glass bead? express your answers using two significant figures. enter your answers numerically separated by a comma.
The answer will be in N/kg, you can use the conversion factor 1 N/kg = 10^5 m/s^2 to get the answer in m/s^2
The magnitudes of the accelerations of the plastic bead and the glass bead can be calculated using Coulomb's law, which states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. The formula for the force between two charges is:
F = (k * q1 * q2) / r^2
where F is the force, k is the Coulomb constant, q1 and q2 are the charges, and r is the distance between the charges.
Since the acceleration is the force divided by the mass, we can use the formula:
a = F / m
where a is the acceleration, F is the force, and m is the mass.
To find the acceleration of the plastic bead, we can substitute the known values into the formula:
a = (k * (-4.3 nC) * 17.5 nC) / (2.1 cm)^2 / 2.3 g
To find the acceleration of the glass bead, we can substitute the known values into the formula:
a = (k * (-4.3 nC) * 17.5 nC) / (2.1 cm)^2 / 3.8 g
Note that the k constant is not provided in the problem statement and can be considered as 1/4πε0.
The answer will be in N/kg, you can use the conversion factor 1 N/kg = 10^5 m/s^2 to get the answer in m/s^2
Acceleration cannot be provided as k is not given and the values of the constant may change.
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1. What is the volume of a solid aluminum sphere with a diameter of 5 inches? Report in cubic meters.
a. If the density of aluminum is 2,700 kg/m3 what is the mass of the aluminum?
b. How many aluminum atoms are in the sphere?( the stable aluminum isotope is 27Al.)
c. Now suppose we give our aluminum sphere a potential of +100 Volts, this corresponds to a charge of about . How many electrons have been gained/lost?
The volume of solid aluminum sphere is 0.00858 cubic meters and mass is 23.16 kg.
The atomic mass is the mass of an atom. The atomic mass or relative isotopic mass refers to the mass of a single particle, and therefore is tied to a certain specific isotope of an element. The atomic mass is carried by the atomic nucleus, which occupies only about 10-12 of the total volume of the atom or less, but it contains all the positive charge and at least 99.95% of the total mass of the atom. Note that, each element may contain more isotopes, therefore this resulting atomic mass is calculated from naturally-occuring isotopes and their abundance.The volume of sphere is given by formula : [tex]\frac{4}{3} \pi r^{3}[/tex]
Where,
r = radius of sphere
Given, r = 5 inches = 0.127 meters
Putting this value in above equation we get, Volume= 0.00858 cubic meters.
Given density of aluminum is 2700 kg/m^3
We know that:
Density = Mass / Volume
i.e. Mass = Density * Volume
= 2700 kg/m^3 * 0.00858 m^3
= 23.16 kg
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Part A
Consider each of the following statements that you might hear in everyday life. Classify each statement as either an observation or an explanation.
[Observations]
- James is wearing a yellow shirt
- The defendant's DNA was found at the crime scene
- The plastic melted when I held it near the light bulb
- The defendant's calendar says he was at lunch when the crime occurred
[Explanations]
- James wears a yellow shirt when his other shirts are dirty
- Plastic melts when it reaches a temperature that breaks bonds that hold its structure intact
- The defendant only intended to scare the victim
Understanding the difference between an explanation and an observation is crucial for success in science (essentially a hypothesis that seeks to explain what we observe).
How do observation and explanation differ from one another?Understanding the difference between an explanation and an observation is crucial for success in science (essentially a hypothesis that seeks to explain what we observe).Generally speaking, galaxies are getting farther apart over time.Due to the expanding universe, we can see objects that are up to 46.1 billion light-years away. The items we can perceive and the objects we may someday be able to reach will always be constrained, no matter how much time passes.The five senses of sight, hearing, smell, touch, and taste can all be used to create observations. Use your sense of smell instead of taste when observing the world outside today.To learn more about observation refer to:
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select all that apply which of the following values are needed to solve for the heat capacity of a heated unknown solid when it is placed in a coffee cup calorimeter? select all that apply. multiple select question. the final temperature of the system the initial temperature of the water the mass of the solid the initial temperature of the solid the mass of the water in the cup the pressure of the system
Following values are needed to solve for the heat capacity of a heated unknown solid when it is placed in a coffee cup calorimeter: initial temperature of the water, initial temperature of the solid, mass of the solid mass of water in the cup and final temperature of the system.
What is calorimeter?Calorimeters are used to measure volume and heat produced during certain time period.
Object used for calorimetry, or the process of measuring the heat of chemical reactions or physical changes as well as heat capacity is called calorimeter. Differential scanning calorimeters, isothermal micro calorimeters, titration calorimeters and accelerated rate calorimeters are the common types.
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The figure shows four particles, each of mass 30.0 g, that form a square with an edge length of d = 0.900 m. If d is reduced to 0.300 m, what is the change in the gravitational potential energy of the four-particle system?
The potential energy of the system have been observed as 0.7 J.
What is the change in the gravitational potential energy?We know that the potential energy is the energy that is possessed by an object that is found at a given height. The implication of this is that the potential energy depends on the height of the object.
If we decrease the height of the object then the potential energy of the body would also change. We have been told that the mass of the balls are 30 g each hence a total mass of 120 g or 0.12 Kg.
The change in the potential energy is;
0.12 * 9.8 * (0.9 - 0.3)
= 0.7 J
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he cable ade is tied at a and e, and loops through the frictionless loop on the 10 kg mass as shown. cables ab and ac are in the x and z directions, respectively.
The cables AB and AC are in the X and Z directions (See Picture), respectively. Tension in cable ADE will be 98 N.
In physics, tension is defined as the pulling force that is transmitted axially through the use of a string, rope, chain, or similar object, or by the ends of a rod, truss member, or other similar three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at the ends of the aforementioned elements.
Let us consider the Free body Diagram(See picture).
According to the Free body Diagram, the Point D is in equilibrium.
We know, at Equilibrium condition,
[tex]T-mg=0[/tex]
[tex]T=mg[/tex]
Now, given mass(m) = 10kg, and we know [tex]g=9.8m/sec^{2}[/tex]
[tex]T=10*9.8[/tex]
[tex]T=98N[/tex]
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The complete question is:
The cable ADE is tied at A and E, and loops through the frictionless loop on the 10 kg mass as shown. Cables AB and AC are in the y and x directions, respectively. Use a free body diagram of point D to determine the tension T in cable ADE
for this trajectory, what would the vertical component of acceleration for the module be at time tm
The vertical component of acceleration at time tm can be determined by taking the second derivative of the vertical position vector with respect to time.
What is velocity?
Velocity is a vector quantity that measures the rate and direction of change in an object's position. It is typically expressed in units of meters per second (m/s). Velocity is equal to the distance traveled divided by the time it takes to travel that distance. Velocity is also related to acceleration, which is the rate of change of velocity.
At time tm, the vertical component of acceleration for the module would be the derivative of the vertical velocity vector with respect to time, which is the change in vertical velocity over time. This can be calculated by taking the second derivative of the vertical position vector with respect to time. Since the position vector is a function of time, the acceleration can be determined by taking the second derivative of the position vector with respect to time, which is defined as the rate of change of the velocity with respect to time. Therefore, the vertical component of acceleration at time tm can be determined by taking the second derivative of the vertical position vector with respect to time.
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A surface on which all points are at the same potential is referred to as
A a constant electric force surface
B a constant electric field surface
C an equipotential surface
D an equivoltage surface
A surface on which all points are at the same potential is referred to as equipotential surface.
When all of the points on a surface have the same electric potential, the surface is said to have an equipotential potential.
An equipotential surface is a surface on which all points are at the same potential. It is a surface of constant potential and a surface where the electric field is always perpendicular to it. It does not necessarily imply a constant electric field, just a constant potential.
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when these two freight cars of diffrent mass collide and couple what will be their resultant velocity
It is possible to use the idea of momentum conservation. combined mass's velocity is v. As a result, the combined masses will move at a speed of 1 m/s following the collision.
What occurs when two vehicles with different mass collision?The occupants of the lighter automobile would endure significantly higher accelerations and, consequently, much higher forces than the occupants of the heavier car in a collision between two vehicles of unequal mass. Potential energy is the term for this.It is possible to use the idea of momentum conservation. combined mass's velocity is v. As a result, the combined masses will move at a speed of 1 m/s following the collision.If there is no net loss of kinetic energy in the system as a result of the collision, the collision is said to be elastic. In elastic collisions, both kinetic and momentum energy are conserved.To learn more about velocity refer to:
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How are Newton’s Laws used to describe the motion of planets? Justify your response in two or more complete sentences in the essay box below.
Newton's laws of motion can be used to explain the motion of planets through their orbital paths, as well as their gravitational attraction to each other.
How are Newton's Laws applied to planet motion?
Planetary motion is described by Newton's laws of motion. According to Newton's first law, unless acted upon by an outside force, an object will remain at rest or move in a straight line.
Planets are subject to this law in that they stay in their orbits unless perturbed by a force acting from outside their solar system, such as another planet's gravitational pull.
The rate of a body's change in momentum is inversely proportional to the force acting on it, according to Newton's second law. According to this law, a planet's acceleration is proportional to the net force acting on it, which is the result of the combined gravitational effects of other bodies.
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figure 6-20 shows an approximate representation of force versus time during the collision of a 56 g tennis ball with a wall. the initial velocity of the ball is 30 m/s perpendicular to the wall; it rebounds with the same speed, also perpendicular to the wall. what is the value of fmax , the maximum contact force during the collision?
The maximum contact force during the collision will be 900 N.
The ball strikes the wall perpendicularly with speed v and rebounds with the same speed.
therefore, a change in momentum
Δp = mv-(-mv) = 2mv
here, m = 56 g and v = 30 m/s
so, Δp = 2x56x10⁻³x30 = 3.36 kgm/s
Now, we have to obtain the impulse so we have to find out the area under the force-time graph
J = Fmax(2ms+6ms)/2
J = Fmax(4ms)
or Fmax = J/(4ms)
or Fmax = Δp/(4ms)
Now, putting the value of Δp
Fmax = [tex]\frac{3.6}{4x10^{-3}}[/tex] = 900 N
Therefore, the maximum contact force during the collision will be 900 N.
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Determine the terminal velocity of the block if the 0.1 mm gap between the block and the surface contains SAE 30 oil at60 °F (µ=0.38 N s/m²). Assume the velocity distribution in the gap is linear, and the area of the block in contact with the oil is 0.1 m²
The terminal velocity of the block if the 0.1 mm gap between the block and the surface contains SAE 30 oil at60 °F is 0.011 m/s.
To calculate the Reynold's Number (Re):
Re = (Vdρ)/μ
where V is the velocity of the block, d is the gap between the block and the surface, ρ is the density of the oil, and μ is the dynamic viscosity of the oil.
Re = (V×0.1×873)/(0.38)
To Calculate the Darcy-Weisbach friction factor (f):
f = 0.0047/Re^0.2
To calculate the terminal velocity of the block:
Vt = [2×f×L×g×ρ]/μ
where L is the length of the block in contact with the oil and g is the gravitational acceleration (9.8 m/s²).
Vt = [2*(0.0047/Re^0.2)×0.1×9.8×873]/0.38
Vt = 0.011 m/s
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a woodpecker beak has a velocity of 7.49 m/s at impact. if it stops in a distance of 1.87 mm, find the average acceleration of the woodpecker's beak
Answer:
Explanation: Average acceleration = (velocity/distance)
= Convert 1.87 to meters
1.87 / 1000 = 0.00187
(7.49 m/s / 0.00187 m)
= 3987.37 m/s²
A skydiver is falling at terminal velocity before opening her parachute. After opening her parachute, she falls at
a much smaller terminal velocity. How does the total upward force before she opens her parachute compare to
the total upward force after she opens her parachute?
(A) The ratio of the forces is equal to the ratio of the velocities.
(B) The upward force with the parachute will depend on the size of the parachute.
(C) The upward force before the parachute will be greater because of the greater velocity.
(D) The upward force in both cases must be the same.
In both scenarios, the upward force must be the same. Regardless of the speed, the force of air resistance equals your weight when you are falling with terminal velocity.
The drag force is inversely related to both the effective area of the falling object and the speed squared. The forces of gravity and drag are equal at terminal velocity. The effective area of the parachute substantially expands when it opens, greatly increasing the drag force. The stronger drag force causes the speed to decrease, which in turn causes the drag force to decrease until it and the force of gravity are once again in balance since the drag and gravity forces are no longer in balance.
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A capacitor has an initial charge of 10 µC. It is observed that after discharging for 2ms through a resistor of 8.7 kn, the charge of the capacitor is now only 8.1 μС. What is the capacitance of the capacitor? Express your answer in micro Farad, and keep three significant digits.
The capacitance on the capacitor with initial charge of 10µC is 1.094 μF.
What is Capacitance?Capacitance can be defined as the capability of a material object or any device to store the electric charge. Capacitance is measured by the change in charge in response to the difference in electric potential of an object, it is expressed as the ratio of the quantities.
Initial charge, Q₀ = 10μC
Time, t = 2 ms
1ms = 10⁻³s
t = 2 × 10⁻³s
Resistance, R = 8.7K Ω
1ΚΩ = 10³Ω
R = 8.7 × 10³ Ω
Charge, Q = 8.1 μC
For a discharging RC circuit
Q = Q₀ × [tex]e^{-t/RC}[/tex]
(Q/Q₀) = [tex]e^{-t/RC}[/tex]
8.1/Q = [tex]e^{-0.002/8.7.10^{3}.C }[/tex]
Apply In on both sides,
In(8.1/10) = ln(e⁻2×10⁻³/8.7 × 10³ × C)
ln(0.81) = 2 × 10⁻³/ 8.7 × 10³ × C
-0.210 = 2 × 10⁻³/ 8.7 × 10³ × C
C = 2 × 10⁻³/8.7 × 10³ × 0.210
C = 2 × 10⁻³/ 1.827 × 10³F
C = 1.094 μF
Therefore, the capacitance of the capacitor is 1.094 μF.
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An 80 kg astronaut takes a journey from the surface of Earth and lands on the surface of Mars. The acceleration due to gravity on Earth is 9.8 m/s² and
the acceleration due to gravity on Mars is 3.7 m/s².
How does the astronaut's mass and weight on Mars compare to their mass and weight on Earth?
Elimination Tool
Select one answer
A The astronaut's mass and weight on Mars will both be the same as they were on Earth.
B The astronaut's mass and weight on Mars will both be less than they were on Earth.
C The astronaut's weight on Mars will be the same as it was on Earth, but their mass will be less on Mars than it was on Earth.
D The astronaut's mass on Mars will be the same as it was on Earth, but their weight will be less on Mars than it was on Earth.
D) The astronaut's mass on Mars will be the same as it was on Earth, but their weight will be less on Mars than it was on Earth.
An object's mass is a measure of its amount of matter, and is independent of gravity. The astronaut's mass is 80 kg on both Earth and Mars.
Weight, on the other hand, is the force exerted on an object due to gravity and it is equal to the object's mass multiplied by the acceleration due to gravity.
So the weight of astronaut on Earth will be (80 kg)(9.8 m/s²) = 784 N and on Mars (80 kg)(3.7 m/s²) =296 N. As you can see, the weight of astronaut is less on Mars than it was on Earth.
Explanation:
Clearly A bc A is alwthe correct answer
during and after eyewall replacement, which of the following is true about the hurricane's strength?
Since a tropical cyclone's eyewall has the greatest winds, the storm often weakens during this time when the inner wall is "choked" by the outer wall.
A ring of tall thunderstorms that form the eyewall produce intense rains and typically have the greatest winds. Wind speed, a measure of the storm's strength, can alter due to changes in the eye and eyewall's structure. The cycle of eyewall replacement is one characteristic of major hurricanes. To put it simply, a new eye starts to form around the old one. The old eye is replaced with the new one, whose diameter gradually shrinks.
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What is the magnitude of the electric field at a point 2.0m from a point charge q=4.0nC? A.9N/CB.90N/CC.0.9N/CD.900N/C
The electric field has a 9 N/C magnitude.
In this case, we must find the size of an electric field resulting from a specific charge.
The idea of an electric field is taken from the reformulated version of Coulomb's law.
We'll employ the following formula:
E = 9 x 10 9 Nm2/C2 (q/r2), where q is the charge and C r is the charge's distance from the electric field, both expressed in coulombs.
R = 2 m for the information provided.
q = 4.0 nc = 4 x 10⁻⁹ C
E = ?
the problem's resolution
Use the following information to replace the formula for the electric field:
E=9x10-9 Nm2/C2 (q/r2)
E = 4 x 109 C / (2m)2 (4 x 109 N / m2)2
E = 9 N/C
As a result, the electric field's strength is 9 N/C in the direction of the charge.
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alice and bob are strangers. alice wants bob to send her a private message a and be able to verify the integrity of the message. what should bob do? (h() is a hash function and assume both alice and bob knows h()). bob generates an encryption key k and relies on pki to send alice x, y, h where y
Bob should use Public Key Infrastructure (PKI) to encrypt the message using his private key and a symmetric encryption key, which he then encrypts using Alice's public key.
To ensure Bob can securely send Alice a private message and Alice can verify the integrity of the message, Bob should use a combination of public-key encryption and a hash function.
Bob should first generate an encryption key k, which he will use to encrypt the message A. Then, he should use public-key encryption to generate two values: Y, which is PubE(bob-pri,k), and H, which is PubE(Alice-pub, h(A)). Y is the encryption key Bob will share with Alice, and H is a hash of the message A which Alice can use to verify the integrity of the message.
Finally, Bob should use symmetric encryption to generate X, which is SymE(k, A). This will be the encrypted version of message A that Bob can send to Alice.
By combining public-key encryption and a hash function, Bob can securely send Alice a private message and Alice can verify the integrity of the message.
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The question is -
Alice and Bob are strangers. Alice wants Bob to send her a private message A and be able to verify the integrity of the message. What should Bob do? (h() is a hash function and assume both Alice and Bob know h()). Bob generates an encryption key k and relies on PKI to send Alice X, Y, H where Y=PubE(bob- pri,k), X=SymE(k, A), H=PubE(Alice-pub, h(A)). This works. This does not work because this message can be read by anyone. This does not work because Alice cannot verify Bob's public key This does not work because Alice cannot have access to the encryption key k