A 14kg rock starting from rest free falls through a distance of 5.0m with no air resistance find the momentum change of the rock caused by it's fall& the resulting change in the magnitude of earths velocity. Earths mass is 6.0 × 10 24^ kg. Assume the rock eartg system is closed

Question

A 14kg rock starting from rest free falls through a distance of 5.0m with no air resistance find the momentum change of the rock caused by it's fall& the resulting change in the magnitude of earths velocity.  Earths mass is 6.0 × 10 24^ kg. Assume the rock eartg system is closed

anonymous · Answer

Rock velocity will be obtained from (1/2) m v^2 = m g h
Momentum will be conserved, so rock gains m v and earth
loses m v = (M)(change in Earth's velocity),
which will be tiny velocity change when calculated