Question

What is the work done if a Boulder of mass 100 kilogram is rolled 40 meter up slope an angle of 20 degrees assuming the force of friction is negligible​

Answer 1

The work done is 13680.8 J.

Step-by-step explanation:

The work done can be calculated as follows:

`W = F*d`

Where:

F: is the force

d: is the displacement = 40 m

The force acting on the boulder is given by:

`F = mgsin(\theta)`

Where:

m: is the mass = 100 kg

g: is the acceleration due to gravity = 10 m/s²

θ: is the angle = 20°

Then, the work is:

`W = mgsin(\theta)d = 100 kg*10 m/s^(2)*sin(20)*40 m = 13680.8 J`

Therefore, the work done is 13680.8 J.

I hope it helps you!