Question

A skateboard with a mass of 4 kg is moving at a speed of 10 meters per second on a level surface. It encounters a hill and rolls up until it stops. Ignoring friction, to what vertical height does it rise (in meters)?

Answer 1

Answer:

vertical height = 5.1 meters

Explanation:

M = 4 kg

V = 10 m/s^2

Based on the law of conservation of energy, energy can be converted from one form to energy.

Calculate the kinetic energy of the skateboard.

Kinetic energy = 1/2 * (MV^2)

K.E = 1/2 * ( 4 * 10^2)

K.E 0.5 * 400

K.E = 200 Joules

According to conservation of energy, Kinetic Energy = Potential Energy = 20 joules

P.E = Mgh

200 = 4 * 9.8 * h

h = 200/ 39.2

h = 5.1 meters