We place a cart of mass **M**
on a ramp tilted at angle **θ**.
It is attached to a spring of force constant
**k**, which is initially at its rest length.

We hold the cart in the "start" position for a moment,
then release it.
The cart rolls down the ramp a distance **L**
before coming to a momentary halt.
It then starts back up the ramp,
pulled by the spring.
Ignore friction for the moment ...

- How much work is done by gravity as the cart rolls?
- How much work is done by the spring as the cart rolls?
- What is the cart's kinetic energy when it reaches the bottom of its motion?
- Write an equation which gives the distance
**L**in terms of other quantities.

Okay, now let's add friction. Suppose that the
coefficient of kinetic friction between
track and cart is **μ**.

- How much work is done by friction as the cart rolls?
- Write an equation which gives the distance
**L**in terms of other quantities.

Copyright © Michael Richmond. This work is licensed under a Creative Commons License.