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 5.00 m/s. Find the final velocity of the car in each case, assuming that the handcar does not leave the tracks.
(a) A 25.G-kg mass is thrown sideways out of the car with a velocity of magnitude 2.00 m/s relative to the car's initial velocity.
(b) A 25.G-kg mass is thrown backward out of the car with a velocity of 5.00 m/s relative to the initial motion of the car.
(c) A 25.0•kg mass 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.