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valentina_108 [34]
3 years ago
9

A moving freight car collides with an identical one that is at rest. If momentum is conserved, what happens to the second car af

ter the collision? It attains the same speed as the first car. It moves at half the speed of the first car. It moves at twice the speed of the first car.
Physics
1 answer:
yKpoI14uk [10]3 years ago
4 0

For all elastic collisions we have

e = \frac{v_2 - v_1}{u_1 - u_2}

e = 1 = \frac{v_2 - v_1}{u_1 - u_2}

v_2 - v_1 = u - 0

also by momentum conservation we will have

m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2

since two cars are identical so we know that

m_1 = m_2 = m

u + 0 = v_1 + v_2

now by solving two equations we will have

v_2 = u

v_1 = 0

so the correct answer must be

It attains the same speed as the first car.

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A pendulum of length L=36.1 cm and mass m=168 g is released from rest when the cord makes an angle of 65.4 degrees with the vert
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(a) -0.211 m

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\theta=65.4^{\circ}

The projection of the length of the pendulum along the vertical direction is

L_y = L cos \theta = (36.1 cm)(cos 65.4^{\circ})=15.0 cm

the full length of the pendulum when the mass is at the lowest position is

L = 36.1 cm

So the y-displacement of the mass is

\Delta y = 15.0 cm - 36.1 cm = -21.1 cm = -0.211 m

(b) 0.347 J

The work done by gravity is equal to the decrease in gravitational potential energy of the mass, which is equal to

\Delta U = mg \Delta y

where we have

m = 168 g = 0.168 kg is the mass of the pendulum

g = 9.8 m/s^2 is the acceleration due to gravity

\Delta y = 0.211 m is the vertical displacement of the pendulum

So, the work done by gravity is

W=(0.168 kg)(9.8 m/s^2)(0.211 m)=0.347 J

And the sign is positive, since the force of gravity (downward) is in the same direction as the vertical displacement of the mass.

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W=Fd cos \theta

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\theta is the angle between the direction of the force and the displacement

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\theta=90^{\circ}, cos \theta = 0

and so the work done is zero.

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