Answer to Question #140499 in Physics for Amankwaah

Question

A stone of mass 30g is projected vertically from a top of a mountain 500m high. Determine 1.The time taken by the stone to reach it maximum height and to the foot of the mountain. 2.The potential energy at the maximum height of the foot of the mountain

Answer 1

1.The time taken by the stone to reach it maximum height from the foot of the mountain is the same as the time required to reach the bottom from the 500-m height:

$$t=\sqrt{2h/g}=\sqrt{2\cdot500/9.8}=10\text{ s}.$$

2.The potential energy at the maximum height of the foot of the mountain is

$$E_p=mgh=0.03\cdot9.8\cdot500=147\text{ J}.$$