A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height h above the ground and slides along a frictionless track. The car encounters a loop of radius R, shown. Assume that the initial height h is great enough so that the car never losses contact with the track.

Find an expression for the kinetic energy of the car at the top of the loop (express in terms of m, g, h, R).

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Equations for Energy Conservation concept. If you need more Equations for Energy Conservation practice, you can also practice Equations for Energy Conservation practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Quintero & Luehrmann's class at TEMPLE.