Answer:

Step-by-step explanation:
Given:
- mass of the cart,

- inclination of rope above the horizontal,

- displacement of cart,

- coefficient of kinetic friction,

We find the force acting in the direction of the rope responsible for motion of the cart:
................................................(1)
Here normal reaction R:
........................................(2)
Now since the body is moving with a constant velocity:
∴ Kinetic Frictional force = applied force


................................................(3)
Putting the value of R from eq. (3) into eq. (2)



is the force applied along the rope.
Now the work done by the rope:


