Suppose a toy wagon is pulled by exerting a force of 25 pounds on a handle that makes a angle with the horizontal as shown in the figure below. Find the work done in pulling the wagon 50 feet. Round your answer to one decimal place.
A) 1,200.0 ft-lb
B) 427.5 ft-lb
C) 2,350.2 ft-lb
D) 1,174.6 ft-lb
E) 2,348.2 ft-lb

Question

Suppose a toy wagon is pulled by exerting a force of 25 pounds on a handle that makes a  angle with the horizontal as shown in the figure below. Find the work done in pulling the wagon 50 feet. Round your answer to one decimal place. 
A) 1,200.0 ft-lb 
B) 427.5 ft-lb 
C) 2,350.2 ft-lb 
D) 1,174.6 ft-lb 
E) 2,348.2 ft-lb

Quizplus · Accepted Answer

To find the work done in pulling the wagon, we need to use the formula:

Work = force x distance x cos(theta)

where, 
force = 25 pounds (given) 
distance = 50 feet (given) 
theta = 11 degrees (given)

First, we need to convert the angle theta to radians:

theta = 11 degrees x (pi/180) = 0.192 radians

Now, we can plug in the values in the formula and calculate the work:

Work = 25 x 50 x cos(0.192) = 1,174.6 ft-lb (rounded to one decimal place)

Therefore, the best choice is D.

Suppose a Toy Wagon Is Pulled by Exerting a Force