You pull sled with a rope which makes an angle of 30 $\circ$ to the horizontal and the tension in the rope is 40.0 N.Calculate the work you do on the sled if it moves 100 m.

Question

Quizplus · Accepted Answer

We can use the formula for work done by a force at an angle to the displacement:
Work = Force x Displacement x cosθ
where θ is the angle between the force and the displacement. In this case, the force is the tension in the rope (40.0 N) and the displacement is the distance the sled is moved (100 m). The angle between them is 30°. 
Plugging in the values:
Work = 40.0 N x 100 m x cos30°
Work = 3464.1 J or 3.46 kJ (to three significant figures).
Therefore, the best choice is C.

You Pull Sled with a Rope Which Makes an Angle ∘\circ∘

You Pull Sled with a Rope Which Makes an Angle $\circ$