Apile driver drives a post into the ground. the mass of the pile driver is 2 500 kg and it is dropped through a height of 8.0 m on each stroke. if the resisting force of the ground is 4.0 × 106 n, how far is the post driven in on each stroke?

Distance, d = 0.049 meters

Explanation:

It is given that,

Mass of the pile, m = 2500 kg

It is dropped through a height of 8.0 m on each stroke, h = 8 m

The resisting force of the ground,

The work done in each stroke is equal to the potential energy of the pile driver such that,

Work done due to resistive force is :

So,

d is the distance covered by the post driven in on each stroke.

d = 0.049 meters

So, on each stroke the post driven is 0.049 meters far. Hence, this is the required solution.