A rifle is aimed horizontally at a target 47 m away. The bullet hits the target 2.3 cm below the aim point.

Answer:

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The ball was kicked with a speed of 38.4 m/s.

Using s = ut + 1/2gt², we find the time it takes the ball to reach the ground. Where

Substituting the values of the variables into the equation, we have

s = ut + 1/2gt²

75 m = (0 m/s)t + 1/2 × 9.8 m/s² × t²

75 m = 0 m + (4.9 m/s²) t²

75 m = (4.9 m/s²)t²

Dividing both sides by 4.9, we have

t² = 75 m/4.9 m/s²

t² = 15.306 s²

Taking square-root of both sides, we have

t = √15.306 s²

t = 3.91 s

The horizontal distance covered by the ball d = vt where

Since we require v, we make it subject of the formula.

So, v = d/t

Given that d = 150 m and t = 3.91 s, substituting these into v, we have

v = d/t

v = 150 m/3.91 s

v = 38.4 m/s

So, the ball was kicked with a speed of 38.4 m/s.

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The change in the Gibb's free energy per mole (G) is 1.96 J.

The given parameters:

The change in the Gibb's free energy per mole (G) is calculated as follows;

[tex]\Delta G = V(P_2-P_1) \\\\[/tex]

where;

V is the volume of the ice

[tex]Density = \frac{Mass}{Volume} \\\\Volume = \frac{Mass}{Density} \\\\Volume = \frac{18 \times 10^{-3} \ kg}{917 \ m^3} \\\\Volume = 1.96 \times 10^{-5} \ m^3\\\\Volume = 1.96 \times 10^{-5} \ m^3 \times \frac{1000 \ L}{m^3} \\\\Volume = 0.0196 \ L[/tex]

Change in pressure;

[tex]P_2 - P_1 = 2.0 \ bar \ - \ 1.0 \ bar = 1.0 \ bar = 0.987 \ atm[/tex]

The change in the Gibb's free energy per mole (G);

[tex]\Delta G= V(P_2-P_1)\\\\\Delta G = 0.0196\ L \times 0.987\ atm \\\\\Delta G = 0.0193 \ L.atm\\\\1 \ L.atm = 101.325 \ J\\\\\Delta G = 0.0193 \ L.atm \times \frac{101.325 \ J}{1 \ L.atm} \\\\\Delta G = 1.96 \ J[/tex]

Thus, the change in the Gibb's free energy per mole (G) is 1.96 J.

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The change in the length of the spring as it stretches from 4.0 cm to 6.0 cm is 2.0 cm.

The change in length of the spring can be calculated by subtracting the initial unstretched length (4.0 cm) from the final stretched length (6.0 cm).

Change in length = Final length - Initial length

Change in length = 6.0 cm - 4.0 cm

Change in length = 2.0 cm

Therefore, the change in the length of the spring as it stretches from 4.0 cm to 6.0 cm is 2.0 cm. This means the spring elongates by 2.0 cm under the applied load between points A and B.

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The complete question is:

The average value of the load between A and B is 6.0 N. The spring has an unstretched length increases from 4.0 cm to 6.0 cm. What is the change in the length of the spring as it stretches from 4.0 cm to 6.0 cm?

Answer:

Explanation:

20° from the normal = 110° from parallel

1a) τ = (200sin90)[6] + (75sin110)[3] - (100sin110)[3]

     τ = 1,129.52305... = 1100 N•m CCW

1b) τ =  200(6)(sin90) + 75(-3)(sin(360-110)) + 100(3)(sin(270 + 20)

     τ = 1,129.52305... = 1100 N•m CCW

1c) My directions agree, both are positive z by right hand rule.

1d) Moment of inertia for a thin rod about an axis perpendicular to its center is

I = (1/12)mL²

τ = Iα

α = τ/I = 1129.523 / ((1/12)(200)(12²)) = 0.4706 rad/s²

θ = ½αt²

θ = ½(0.4706)(2•60)² = 3,388.56916... radians

θ = 3400 radians

at which time is is spinning about 9 revolutions per second

The kinetic energy of the roller coaster at the bottom of the hill is 12250000 J

To answer this question, we must understand that the energy of a system is always conserved as explained by the law of conservation of energy.

The kinetic energy of the roller coaster will be equivalent to the potential energy of the roller coaster.

The kinetic energy of the roller coaster can be obtained as follow:

Kinetic energy = Potential energy

KE = mgh

KE = 2500 × 9.8 × 500

KE = 12250000 J

Therefore, the kinetic energy of the roller coaster is 12250000 J

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Answer:

The new speed of the car is 30 m/s.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

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Explanation:

Answer:

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The relationship between variables might be either directly porportional to each other or inversely proportional to each other. For instance, the current flowing is _directly_ proportional to the potential difference across it.

---------------------

Since I do not have the graph, I will propose two potential options and I will describe each of them.

I suggest you to choose the one that matches the shape of graph 3.

The current flowing through this component is __DIRECTLY__ proportional to the potential difference across it.

If this is the case of your graph, you should see the straight line crossing from the left inferior quadrant to the right superior one.

The direction of the line suggests that one of the variables increases as the other one increases too. The current increases as the potential increases.

This is the case of the Ohm's law.

The current flowing through this component is __INVERSELY__ proportional to the potential difference across it.

If this is the case of your graph, you should see the straight line crossing the right quadrant from the superior left corner to the inferior right one.

The direction of the line suggests that the variable represented in the Y ax decreases as the other one increases.

For instance, The current decreases as the potential increases. Or the potential decreases as the current increases.

In the attached files you will find graphs of both options.

-------------------------

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Answer: The relationship between variables might be either directly proportional to each other or inversely proportional to each other. For instance, the current flowing is directly proportional to the potential difference across it.

Explanation:

Answer:

c. index fossil

Explanation:

Trilobite fossils are found worldwide, with many thousands of known species. Because they evolved rapidly, and molted like other arthropods, trilobites serve as excellent index fossils. (Arthropods periodically shed their old exoskeletons, or molt.) An index fossil is one that is useful for dating and correlating the strata in which it is found.

σ = F/A = F/ (πD²/4) = 20000 / (π0.10²/4) = 2.55 MN/m²

The initial temperature of the metal bolt is 80.8 °C

We'll begin by calculating the heat absorbed by the water.

Q = MCΔT

Q = 0.15 × 4184 × 4

Q = 2510.4 J

Finally, we shall determine the initial temperature of the metal bolt.

Q = MC(T₂ – T₁)

–2510.4 = 0.050 × 899 (25 – T₁)

–2510.4 = 44.95 (25 – T₁)

Clear bracket

–2510.4 = 1123.75 – 44.95T₁

Collect like terms

–2510.4 – 1123.75 = –44.95T₁

–3634.15 = –44.95T₁

Divide both side by –44.95

T₁ = –3634.15 / –44.95

T₁ = 80.8 °C

Thus, the initial temperature of the metal is 80.8 °C.

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Explanation:

A. The centripetal force experienced by an electron as it goes around a hydrogen nucleus is given by

[tex]F_c = m_e\dfrac{v^2}{r}[/tex]

where [tex]m_e = \text{electron\:mass} = 9.11×10^{-31}\:\text{kg}[/tex]

[tex]r = 5.17×10^{-11}\:\text{m}[/tex] = orbital radius

[tex]v = 2.16×10^6\;\text{m/s}[/tex] = orbital velocity

so the centripetal force is

[tex]F_c = (9.11×10^{-31}\:\text{kg})\dfrac{(2.16×10^6\;\text{m/s})^2}{5.17×10^{-11}\:\text{m}}[/tex]

[tex]\;\;\;=8.22×10^{-8}\:\text{N}[/tex]

B. The electron's centripetal acceleration is given by

[tex]a_c = \dfrac{v^2}{r}[/tex]

Using the values from (A), we get

[tex]a_c = \dfrac{(2.16×10^6\;\text{m/s})^2}{5.17×10^{-11}\:\text{m}}[/tex]

[tex]\;\;\;=9.02×10^{22}\:\text{m/s}^2[/tex]

Answer: Next time you create a question, add an image or PDF. Because I do not know the question. So, may you please create a new question?

If the speed of the magnet is doubled, the induced voltage is twice as great

Faraday's law of induction states that whenever relative motion exists between a coil and magnetic field, a voltage will induce in the circuit and this voltage is proportional to the rate of change of the flux. The expression for the motional emf is as follows:

ε=Blv

Here, ε is the motional emf, B is the magnetic field, l is the length of the conductor, and v is the velocity at which the magnetic field changes.

The induced voltage by the moving magnet is directly proportional to the speed of the magnet. Therefore, an increase in the speed of the magnet will increase the induced voltage.

If the speed of the magnet is doubled, the induced voltage is twice as great

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Explanation:

this is the answer to the questions

Answer:

Explanation:

Circumference in meters is

C = πD = 0.68π

9200 m / 0.68π m = 4,306.545518...

4,306.5 revolutions

A bicycle with tires 68 cm in diameter travels 9.2 km. the number of revolutions made by the wheel would be 4309

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.  It can also be represented by the infinitesimal rate of change of displacement with respect to time. The unit of velocity is meter/second.

The mathematical expression for velocity is given by

velocity= displacement  / time taken

As given in the problem a bicycle with tires 68 cm in diameter travels 9.2 km

Diameter = 68 cm

radius = diameter /2

          = 68/2

         = 34 cm

The distance covered by the tire in one cycle would be

distance in one revolution = 2π×Radius

                                            = 2×3.14× 34

                                            = 213.52 cm

                                            =2.13 m

The number of revolutions by wheel = total distance/distance in one revolution

number of revolutions = 9200/2.135

                                    =4309 revolutions

Thus, the number of revolutions made by the wheel would be 4309

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Answer:

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Explanation:

This is ur answer.....

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Answer:

4

Explanation:

element is a substance that cannot be broken down into any other substance which means every element is made up of its own type of atom

There are many ways you can get wooden steps to be less slippery even when they are wet. Some ways are:  

*You can put a carpet on the steps. The fibers in a carpet usually have some friction which will give you a grip as you climb up and/or down and prevent you from falling.  

*You can apply anti-slip coatings like a paint on the steps. If you add some sand to the paint to add traction and lessen the slippery nature. Alternatively, If the wood has been waxed, you may consider using a wax remover.  

*You can fix a hand railing so that you can hold on to it when you go up and down the steps.

The answer is:

That they are switched on

Answer:

by giving a person to person

Answer:

merry Christmas ⛄

Explanation:

We know that,

→ F = (6 × 6) N

→ F = 36 N

Therefore, the net force is 36N.

Answer:

Yes , i also need answer

Explanation:

n earthquake emits both P-waves and S-waves that travel at different speeds through the Earth. A P-wave travels at 9 000 m/s and an S-wave at 4 000 m/s. If P-waves are received at a seismic station 34.0 s before an S-wave arrives, how far is the station from the earthquake center

Answer:

B

Explanation:

Simply take all forces pointing to the right of the box as positive and all of the forces pointing to the left of the box as negative and add all values.

ΣF = 7 + 18 + (-20) = 5N to the right

From orbital speed formula which is the ratio of the circumference of the earth and the period of time, it will take 6097.6 seconds to travel 100,000 ft

Given that the space shuttle Discovery has a constant acceleration of 16.4 ft/s with an initial velocity of 1,341 ft/s due to the rotation of the Earth.

The period of time T it will require to travel round the a distance 100,000 ft can be calculated by using the formula below.

V = 2πr / T

Where 2πr = 100,000 ft

V = 16.4 ft/s

Substitute both in the formula above.

16.4 = 100000 / T

T = 100000 / 16.4

T = 6097.6 seconds

Therefore, it will take 6097.6 seconds to travel 100,000 ft

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If initial speed was v, Kinetic energy was K = 1/2mv^2

When speed will be 4v, KE will be:

= 1/2 m (4v)^2

=1/2m 16 v^2

=16K

Now kinetic energy will become 16 times of initial Kinetic Energy

Answer:A.the Oort cloud

Explanation:

Answer:

try answer A..the Ootor cloud