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Chapter 6: Q5CP (page 226)

You push a heavy crate out of a carpeted room and down a hallway with a waxed linoleum floor. While pushing the crate 2.3mout of the room you exert a force of 30N; while pushing it 8mdown the hallway you exert a force of 15N. How much work do you do in all?

Short Answer

Expert verified

The total work done after pushing the heavy crate is W = 189 N - m

Step by step solution

01

Definition of Work

The work is a unit of measurement for the amount of energy transferred when an object is moved over a distance or displaced by an external force.

02

Explanation of given question

The magnitude of the force changes here, hence we could not determine the work done for a constant force. Therefore, the total work done equals the summation of the work done for each path and it will be given by

W=∑F-∆r

03

Determine total work done after pushing heavy crate

They gave two paths in the question, hence the total work done in equation (1) will be calculated by

W=∑Fr=30N2.3m+15N8m=189N-m

Therefore, Total work done after pushing the heavy crate is W = 189 N - m

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