What is the work Ww done on the box by the weight of the box?
A box of weight w=2.0N accelerates down a rough plane that is inclined at an angle ϕ=30∘ above the horizontal, as shown (Figure 6) . The normal force acting on the box has a magnitude n=1.7N, the coefficient of kinetic friction between the box and the plane is μk=0.30, and the displacement d⃗ of the box is 1.8 m down the inclined plane.
A box of weight w=2.0N accelerates down a rough plane that is inclined at an angle ϕ=30∘ above the horizontal, as shown (Figure 6) . The normal force acting on the box has a magnitude n=1.7N, the coefficient of kinetic friction between the box and the plane is μk=0.30, and the displacement d⃗ of the box is 1.8 m down the inclined plane.
1 Answer
OK, first we need to find the force pulling the box down the plane, then figure out the work done.
Explanation:
The friction is given by
So
The force acting down the plane is given by the component of gravity acting parallel to the plane,
So the net force,
Work done, W = F.s
So
Thus W = 0.882 or 0.88 Nm to 2 s.f.
