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 160 kg and is traveling east with a velocity of magnitude 4.90 m/s. Find the final velocity of the car in each case, assuming that the handcar does not leave the tracks. An object with a mass of 30.0 kg is thrown sideways out of the car with a speed of 1.60 m/s relative to the car's initial velocity. An object with a mass of 30.0 kg is thrown backward out of the car with a velocity of 4.90 m/s relative to the initial motion of the car. An object with a mass of 30.0 kg is thrown into the car with a velocity of 5.70 m/s relative to the ground and opposite in direction to the initial velocity of the car.

Explanation / Answer

part a )

mass is thrown sideways relative to the car it still has the same eastward component of velocity, 5.00 m/s as it had before it was thrown .

v = 4.90 m/s

part b )

(ma + mb ) v = mb*vb2

vb2 = (160/130) * 4.90 = 6.03 m/s towards east

part c )

ma*va1 + mb *vb1 = (ma + mb ) v2x

v2x = (160 * 4.9 - 30 * 5.70 ) / 190

v2x = 3.23 m/s east

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