Question

A playground slide is inclined 40°. If a boy with a mass of 32 kg slides down for -3meters. How much work is done by gravity on the boy?

Answer 1

the work done by gravity on the boy is 604.62 J

Step-by-step explanation:

Given;

distance the boy slides, d = 3 m

angle of inclination of the playground, θ = 40⁰

mass of the boy, m = 32 kg

The vertical height, h, above the ground through which the boy falls represents the height of the triangle which is the opposite side.

The distance through which the boy slides, d, represents the hypotenuse side of the right triangle.

`sin \theta = (opposite )/(hypotenuse) \\\\sin \theta = (h)/(d) \\\\h = dsin\theta\\\\h = 3 * sin(40^0)\\\\h = 1.928 \ m`

The work done by gravity on the boy is calculated as;

W = P.E = mgh

= 32kg x 9.8m/s² x 1.928m

= 604.62 J

Therefore, the work done by gravity on the boy is 604.62 J