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 97.0 kg. The mass of the rock is 0.250 kg. Initially the wagon is rolling forward at a speed of 0.450 m/s. Then the person throws the rock with a speed of 15.5 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown directly forward. m/s Find the speed of the wagon after the rock is thrown directly backward. m/s

Explanation / Answer

Let M:Mass of wagon+rock,m:mass of rock using conservation of linear momentum case 1: 97*0.45=(97-0.25)*v+0.25*15.5 v=0.411 m/s case 2: 97*0.45=(97-0.25)*v-0.25*15.5 v=0.492 m/s

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