Consider a cart being pulled up at incline at a constant velocity.
a) Will the work done be different for the following two positions of the force probe: parallel to the surface of the incline and at a 45 degree angle to the surface? Explain.
b) Does the starting point, mass of the cart, or angle of inclination of the surface affect the work done? Explain.
a) Let us assume the slope of the incline be theta, displacement s, friction coefficient mu.
In case of force applied along the plane, the retarding force,
F1 = m*g*sin(theta) + f
f = friction force = mu*N
normal reaction of the surface N = m*g*cos(theta)
This solution includes five steps of calculations for part (a) and a brief explanation for part (b).