Question

A 7kg roller coaster cart is traveling at 12 m/s. What is the maximum height of the hill that the cart can travel up

Answer 1

7.34 meters

Step-by-step explanation:

If the entire Kinetic energy is converted to Potential energy

1/2 mv^2 = mgh didvide both sides by ' m '

1/2 v^2 = gh solve for 'h'

1/2 v^2 / g = h plug in the given values , g = 9.81 m/s^2

1/2 (12)^2 / 9.81 = h = 7.34 m