A railroad handcar is moving along straight, frictionless tracks with negligible air resistance. In the following cases, the car initially has a total mass (car and contents) of 170 kg and is traveling east with a velocity of magnitude 5.30 m/s. Find the final velocity of the car in each case, assuming that the handcar does not leave the tracks. (A)An object with a mass of 25.0 kg is thrown sideways out of the car with a speed of 2.50 m/s relative to the car's initial velocity. (B)An object with a mass of 25.0 kg is thrown backward out of the car with a velocity of 5.30 m/s relative to the initial motion of the car. (C)An object with a mass of 25.0 kg is thrown into the car with a velocity of 6.00 m/s relative to the ground and opposite in direction to the initial velocity of the car.

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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A railroad handcar is moving along straight, frictionless tracks with negligible air resistance. In the following cases, the car initially has a total mass (car and contents) of 170 kg and is traveling east with a velocity of magnitude 5.30 m/s. Find the final velocity of the car in each case, assuming that the handcar does not leave the tracks.

(A)An object with a mass of 25.0 kg is thrown sideways out of the car with a speed of 2.50 m/s relative to the car's initial velocity.

(B)An object with a mass of 25.0 kg is thrown backward out of the car with a velocity of 5.30 m/s relative to the initial motion of the car.

(C)An object with a mass of 25.0 kg is thrown into the car with a velocity of 6.00 m/s relative to the ground and opposite in direction to the initial velocity of the car.

Expert Solution
Step 1:First part

Conservation of momentum:

mv1 =m1v2 

170×5.30=170×v

v=5.30 m/s

thus remains same speed as body is thrown sideways.

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