A wagon is pulled horizontally by exerting a force of 42 pounds on the handle at an angle of 25° with the horizontal. How much work is done in moving the wagon 85 feet?

Respuesta :

Answer:

The work done is 4386.6 J.

Step-by-step explanation:

The work is given by:

[tex] W = Fd [/tex]

Where:

F: is the applied force = 42 pounds

d: is the displacement = 85 feet  

Since the force is applied at an angle (θ) of 25° with the horizontal we have:

[tex] W = Fcos(\theta)d [/tex]

[tex] W = 42 lb*\frac{4.448 N}{1 lb}cos(25)*85 ft*\frac{0.3048 m}{1 ft} = 4386.6 J [/tex]

                                 

Therefore, the work done is 4386.6 J.

I hope it helps you!