A wagon is rolling forward on level ground. Friction is negligible. The person s

Question

A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 97.5 kg. The mass of the rock is 0.290 kg. Initially the wagon is rolling forward at a speed of 0.550 m/s. Then the person throws the rock with a speed of 15.0 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown directly forward.
1 m/s

Find the speed of the wagon after the rock is thrown directly backward.
2 m/s

Explanation / Answer

a)when rock is thrown forward let the velocity of wagon after the rock is thrown be v conservation of momentum initial momentum = final momentum 97.5 * 0.550 = 0.290*15.0 + (97.5 - 0.290)*v v = 0.506 m/s b)when rock is thrown backwards let the velocity of wagon after the rock is thrown be v initial momentum = final momentum 97.5 * 0.550 = (97.5-0.290)*v - 0.290*15 v = 0.596 m/s

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