A 15 kg crate is pulled at constant speed a distance d= 5.7m up a frictionless ramp, to a height h of 2.5 m above its starting point. a) What force F must

Question

the cable exert on the crate? b) How much work is done on the crate by the force F?

Answer 1

(a)

The applied force pointing up the ramp must balance the component of gravitational force pointing down the ramp.

F = mg sinθ

sinθ = h/d = 2.5/5.7

F = (15 kg)(9.8 m/s²)(2.5/5.7) N ≅ 64.5 N

(b)

W = Fd = (64.5 N)(5.7 m) ≅ 367.7 J