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A 2,300-kg pile driver is used to drive a steel I-beam into the ground. The pile

ID: 1357617 • Letter: A

Question

A 2,300-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 3.60 m before coming into contact with the top of the beam, and it drives the beam 16.0 cm farther into the ground as it comes to rest. Using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.

Make sure you are also correctly accounting for the change in gravitational potential energy when the beam is pushed the extra distance into the ground.

Explanation / Answer

Here ,

let the force from the ground is F

using conseravtion of energy ,

m * g * h = F *d

(2300 * 9.8 * 3.6) = (F - 2300 * 9.8) * 0.16

F = 529700 N

the average force on the beam is 529700 N

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