Question

A child and a sled with a combined mass of 50.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 3.00 m/s at the bottom, what is the height of the hill?

Answer 1

The height of the hill is 0.46 m.

Step-by-step explanation:

Given;

mass of the child and sled, m = 50 kg

initial velocity of the sled, u = 0

final velocity of the sled, v = 3 m/s

The height of the high is calculated from the law of conservation of energy;

P.E at top = K.E at bottom

mgh = ¹/₂mv²

gh = ¹/₂v²

`h = (v^2)/(2g) \\\\h = (3^2)/(2* 9.8) \\\\h = 0.46 \ m`

Therefore, the height of the hill is 0.46 m.