Work and Energy on an Inclined Plane

Problem Statement

A smooth inclined plane, fixed in place, makes an angle $\theta$θ with the horizontal. An object of mass $m$m is placed at the bottom of the inclined plane, and a constant force $F$F is applied along the incline in the upward direction, slowly pulling the object a distance $L$L up the incline. Find the work $W$W done by the applied force on the object. Assume the magnitude of gravitational acceleration is $g$g, and ignore air resistance.

Constraints

• Mass $m = 5.0\text{ kg}$m=5.0 kg
• Angle of inclination $\theta = 30^\circ$θ=30∘
• Distance pulled $L = 10\text{ m}$L=10 m
• Gravitational acceleration $g = 9.8\text{ m/s}^2$g=9.8 m/s2

Input Format

Find the value of work $W$W in joules ($\text{J}$J) and give the answer as a positive integer.