A child and sled with a combined mass of 45.0 kg slide down a frictionless hill. If the sled starts from rest and has a speed of 10.0 m/s at the bottom, what is the height of the hill?

Answer 1

P.E is fully converted into kinetic energy assuming frictionless and neglecting air resistance.

so P.E=mgh=45kg*(9.8m/s^2)*(h)

K.E=(1/2)mv^2=0.5*45kg*(10^2)

Set P.E=K.E and solve for h and we get h=5.1meters

The height of the hill is 5.1 meters