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A 2 100-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 5.00 m before coming into contact with the top of the beam, and it drives the beam 12.0 cm farther into the ground before coming to rest. Using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.

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Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

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Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 7, Problem 23P
Textbook Problem
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A 2 100-kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 5.00 m before coming into contact with the top of the beam, and it drives the beam 12.0 cm farther into the ground before coming to rest. Using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.

To determine

The average force the beam exerts on the pile driver to bring it to rest.

Explanation of Solution

The mass of the pile driver is 2100kg and the height that pile driver travels before coming into contact with the beam is 5.0m. The distance cover by the beam into the ground is 12.0cm.

Write the expression for the total vertical height travelled by the pile driver

    h=5.0m+12.0cm×102m1cm=5.0m+0.12m=5.12m

Write the formula to calculate the work done by the pile driver to drive steel into the ground

    W=mgh                                                                                              (I)

Here, m is the mass of the pile driver, g is the acceleration due to gravity and h is the total vertical height cover by the pile driver.

Write the formula to calculate the work done by the I-beam to travel into the ground

    Wb=Fd                                                                                          (II)

Here, Wb is the work done by the beam on the pile driver, F is the average force exerted by the beam on the pile driver and d is the distance travel by the beam into the ground

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Chapter 7 Solutions

Physics for Scientists and Engineers
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