A 59-kg astronaut is in space, far from any objects that would exert a significa

Question

A 59-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 1065 g. How fast is the astronaut moving after he throws the mallet?

Explanation / Answer

here

momentum = m * v

the total momentum of zero is conserved

momentum of wrench + momentum of spanner + momentum of mallet = momentum of astronaut

0.720 * 5 + 0.8 * 8 + 1.065 * 6 = 59 * v

by solving this equation calculate the v

v =( 3.6 + 6.4 + 6.39) / 59

v = 0.278 m/s

the velocity of astronaut is 0.278 m/s

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