A railroad handcar is moving along straight, frictionless tracks with negligible

Question

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 200 kg and is traveling east with a velocity of magnitude 5.10 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 27.0 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 27.0 kg is thrown backward out of the car with a velocity of 5.10 m/s relative to the initial motion of the car.

C. An object with a mass of 27.0 kg is thrown into the car with a velocity of 6.10 m/s relative to the ground and opposite in direction to the initial velocity of the car.

Explanation / Answer

using law of conservation of momentum

200*5.1 = (200-27)*v

v = (200*5.1)/(200-27) = 5.9 m/s

B) (200*5.1)= (200-27)*v + (27*2*5.1)

v = 4.3 m/s

C) (200*5.1)= (200-27)*v + (27*6.1)

v = 4.94 m/s

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