You pull your little sister across a flat snowy field on a sled. Your sister plus the sled have a mass of . The rope is at an angle of 45 degrees to the ground. As you pull with a force of , the sled travels a distance of . How much work do you do

W = 0.7071 F x,  W = 35.355 J

Explanation:

Work is defined

          W = F. d

bold indicates vectors,

           W = F d cos θ

where the angle is between force and displacement.

As the system runs on snow, the friction force is negligible, therefore

           W = F x cos 45

           W = 0.7071 F x

Unfortunately the values ​​of the force and the distance do not appear, suppose that the force is F = 10 N and the distance x = 5m

           W = 0.7071  10  5

           W = 35.355 J

Work is positive because force and displacement go in the same direction