Question

The roller coaster track is 25 meters at its heights to point. If the 200kg cart rolls down the hill from rest, how much kinetic energy will the cart have at the bottom of the hill?

Answer 1

49000J

Step-by-step explanation:

Given parameters:

Height = 25m

Mass = 200kg

Unknown:

Kinetic energy of the cart at the bottom of the hill = ?

Solution:

The kinetic energy of the roller coaster at the bottom of the hill will be at its maximum and the potential energy is 0.

All the potential energy would have been converted to kinetic energy in essence.

So find the potential energy first;

Potential energy = mgh

m is the mass

g is the acceleration due to gravity

h is the height

Potential energy = 200 x 9.8 x 25 = 49000J

So the kinetic energy at the bottom of the hill is 49000J