A 62-kg astronaut is in space, far from any objects that would exert a significa

Question

A 62-kg astronaut is in space, far from any objects that would exert a significant gravitational force on him. He would like to move toward his spaceship, but his jet pack is not functioning. He throws a 720-g socket wrench with a velocity of 5 m/s in a direction away from the ship. After 0.50 s, he throws an 800 g spanner in the same direction with a speed of 8 m/s. After another 9.90 s, he throws a mallet with a speed of 6 m/s in the same direction. The mallet has a mass of 1195 g. How fast is the astronaut moving after he throws the mallet?

Explanation / Answer

momentum he gained by throwing 720g socket = .720*5 = 3.6kgm/s momentum he gained by throwing 800g spanner = .800*8 = 6.4kgm/s momentum he gained by throwing 1195g mallet = 1.195*6 = 7.17 total momentum gain = 3.6+6.4+7.17 = 17.17 his momentum = 62*v = 17.17 v = .277m/s

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