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) $1,200.0 \mathrm { ft } - \mathrm { lb }$
B) $427.5 \mathrm { ft } - \mathrm { lb }$
C) $2,350.2 \mathrm { ft } - \mathrm { lb }$
D) $1,174.6 \mathrm { ft } - \mathrm { lb }$
E) $2,348.2 \mathrm { ft } - \mathrm { lb }$

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) $1,200.0 \mathrm { ft } - \mathrm { lb }$ 
B) $427.5 \mathrm { ft } - \mathrm { lb }$ 
C) $2,350.2 \mathrm { ft } - \mathrm { lb }$ 
D) $1,174.6 \mathrm { ft } - \mathrm { lb }$ 
E) $2,348.2 \mathrm { ft } - \mathrm { lb }$

Quizplus · Accepted Answer

Using the formula for work $W = F \cdot d \cdot \cos(	heta)$ where $F$ is the force applied, $d$ is the distance moved, and $	heta$ is the angle between the force and the direction of motion. We have:

$$W = 25\mathrm{lb} \cdot 50\mathrm{ft} \cdot \cos(30^\circ) \approx 1174.6\mathrm{ft}-\mathrm{lb}$$

Therefore, the best choice is D.

Suppose a Toy Wagon Is Pulled by Exerting a Force 1,200.0ft−lb1,200.0 \mathrm { ft } - \mathrm { lb }1,200.0ft−lb

Suppose a Toy Wagon Is Pulled by Exerting a Force $1,200.0 \mathrm { ft } - \mathrm { lb }$