7BW11Quiz3Asolns

7BW11Quiz3Asolns - Quiz 3 A Solution(Green 1 Quick...

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Quiz 3 A Solution (Green) 1 Quick Question (2 points) A 5 kg coconut with a firecracker in it is tossed into the air so that at the moment it explodes it is moving at 2 m/s at an angle of 40 from the ground and due east. After the explosion, 15 pieces of the coconut are flying through the air. Immediately after the explosion what is the total momentum, ~ P total (vector), of all the pieces of the coconut? Give your answer and a short explanation as to why it is true. Solution The total momentum of the coconut right before the explosion is ~ P initial = m · ~v = 10 kg · m/s at an angle 40 above the ground due east. Conservation of momentum tells us that Δ ~ P = ~ J = ~ F external · Δ t = 0 This is true during the collision. This means that the momentum before must be equal to the momentum after. Δ ~ P = 0 = ~ P final - ~ P initial = 0 = ~ P final = ~ P initial = 10 kg · m/s at an angle 40 above the ground due east. 2 (8 points) Dr. C is marooned on a frozen lake; it is so slippery he cannot walk.

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