Crate pulled up incline, how much work & thermal energy?
An 8.2 kg crate is pulled 4.9 m up a 30 degree incline by a rope angled 16 degree above the incline. The tension in the rope is 120 N and the crate’s coefficient of kinetic friction on the incline is 0.24.
How much work is done by tension, by gravity, and by the normal force?
What is the increase in thermal energy of the crate and incline?
Work done by tension:
120cos16 = 115.35N
115.35N*4.9m = 565.2 J
Work done by gravity:
sin30 = .5
4.9m*.5 = 2.45 m higher
8.2kg*9.8m/s*2.45 = 197 J
*work done by gravity is the opposite direction, so = -197 J
work done by normal force:
normal force does no work, 0
What is the increase in thermal energy of the crate and incline?