Question

Thomas is pulling his toy wagon to his friend’s house down the street. A toy wagon is being pulled 400 feet over level ground. The bar makes a 30-degree angle with the ground. He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground. How much work is Thomas doing to pull the wagon?

a. 10,000 foot-pounds
b. 8,660 foot-pounds
c. 7,070 foot-pounds
d. 5,000 foot-pounds

Answer 1

Thomas is doing approximately 8,660 foot-pounds of work to pull the wagon.

Step-by-step explanation:

To find the work done by Thomas to pull the wagon, we can use the formula:

Work = Force * Distance * cos(angle)

Given:

Force = 25 pounds

Distance = 400 feet

Angle = 30 degrees

Plugging in the values and converting to the metric system, we have:

Work = 25 * 400 * cos(30)

Work = 25 * 400 * (0.866)

Work ≈ 8660 foot-pounds

Therefore, the answer is option b. 8,660 foot-pounds.