Question

A sailor pulls a boat along a dock using a rope. How much work does the sailor do if he exerts a force of 255 N on the rope and pulls the boat 11.4 m?

Answer 1

The work done is 2,907 J

Step-by-step explanation:

Work is one of the forms of energy transmission between bodies. To perform a job, you must exert a force on a body and it moves. In other words, when a force is applied to a body and it moves, work is done.

The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that the moving point or object travels:

W = F * d * cos α

In the International System of Units the Force is expressed in newtons and the distance in meters, so the work will have units of newtons. Meter = joules (J).

In this case:

• F= 255 N
• d= 11.4 m
• α=0

Replacing:

W= 255 N* 11.4 m* cos 0

Solving:

W= 255 N* 11.4 m* 1

W= 2,907 J

The work done is 2,907 J