Chapter 9.5, Problem 26AYU

To determine

To find: How much work is done in moving the wagon 100 feet?

Answer to Problem 26AYU

Solution:

1732 ft-lbs.

Explanation of Solution

Given:

A wagon is pulled horizontally by exerting a force of 20 pounds on the handle at an angle of 30° with the horizontal.

Calculation:

  

Here the object moves from $A=(0,0)$ to $B=(100,0)$ so that $AB=100$ i.

So first we have to find the horizontal component of the force.

This would be: $20\times \cos {30}^{°}=17.32$ lbs.

Multiplying this by a distance of 100 feet gives: 1732 ft-lbs.