Astronauts on our moon must function with an acceleration due to gravity of 0.170.
If an astronaut can throw a certain wrench 15.0 m vertically upward on earth, how high could he throw it on our moon if he gives it the same starting speed in both places?

How much longer would it be in motion (going up and coming down) on the moon than on earth?

Question

Astronauts on our moon must function with an acceleration due to gravity of 0.170.
If an astronaut can throw a certain wrench 15.0 m vertically upward on earth, how high could he throw it on our moon if he gives it the same starting speed in both places?

How much longer would it be in motion (going up and coming down) on the moon than on earth?

anonymous · Answer

The height the wrench is thrown is inversely proportional to acceleration as time taken to decelerate and hence spent in air is inversely proportional to acceleration. As 0.17 is the Moon's gravitational acceleration compared to the Earth's, the height reached by the wrench will be 15/0.17m.

anonymous · Answer

$$g _{1}/g _{2}=h _{2}/h _{1}$$