# Where does the crate permanently come to rest?

1. Sep 25, 2005

### Doppler

A small crate of weight 5.0N is released from rest at a height 2.0m up a smoyj inclined plane. The crate slides down the plane and across a smooth 1.50m floor to a rough plane where a spring is located.
The bottom of the spring is located at a height of 0.5m. The spring constant is 20N/m .
The coefficient of kinetic friction between the rough plane and crate is $\frac{1}{\sqrt{3}}$ and the coefficient of static friction is $\frac{1}{\sqrt{2}}$/

(a) What is the max height the crate reaaches on the right hand inclined plane?
(b) Where does the crate permanently come to rest? How many times does the crate travel up to the rough plane?

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2. Sep 25, 2005

### Päällikkö

3. Sep 25, 2005

### Doppler

The first part is OK for me,
but the second part seems very complicated.

4. Sep 25, 2005

### Päällikkö

Well, how much must the spring compress in order to keep the crate going?