An 7.6 kg crate is pulled 4.8 m up a 30∘ incline by a rope angled 18 ∘ above the incline. the tension in the rope is 130 n and the crate's coefficient of kinetic friction on the incline is 0.22.1.) how much work is done by (a) tension, by (b) gravity, and by (c) the normal force? 2. ) what is the increase in thermal energy of the crate and incline?

Part a)

Part b)

Part c)

Part 2)

Explanation:

Part a)

As we know that the rope makes an angle of 18 degree above the inclined plane

Here we know that the tension in the rope is T = 130 N

displacement of the block is

d = 4.8 m

now the work done by the tension force is given as

Part b)

Work done due to gravity is given as

here we know that the angle of inclined plane is

so we will have

Part c)

As we know that normal force is always perpendicular to the displacement

so here we know that

Part 2)

Increase in thermal energy of the crate is equal to the work done by frictional force

so we will have

here we know that

where normal force is given as