For a movie scene, a 76 stuntman drops from a tree onto a 51 sled that is moving

Question

For a movie scene, a 76 stuntman drops from a tree onto a 51 sled that is moving on a frozen lake with a velocity of 13 toward the shore. What is the speed of the sled after the stuntman is on board? If the sled hits the bank and stops, but the stuntman keeps on going, with what speed does he leave the sled? (Neglect friction.)

Explanation / Answer

Answer --> 5.22 m/s Given: m1 = 76 kg u1 = 0.0 m/s m2 = 51 kg u1 = 13 m/s Conservation of momentum, velocity of combined system from individual objects v * [m1+m2] = m1u1 + m2u2 v * [ (76 kg) + (51 kg) ] = [ (76 kg) * (0.0 m/s) ] + [ (51 kg) * (13 m/s) ] v * [ 127 kg ] = [ 663 kg-m/s ] v = [ 663 kg-m/s ] / [ 127 kg ] v = 5.22 m/s

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