# A spring with a constant of #9# #kgs^-2# is lying on the ground with one end attached to a wall. An object with a mass of #2# #kg# and speed of #12# #ms^-1# collides with and compresses the spring until it stops moving. How much will the spring compress?

##### 2 Answers

Jun 11, 2017

The compression is

#### Explanation:

The spring constant is

The kinetic energy of the object is

This kinetic energy will be stored in the spring as potential energy.

So,

Jun 11, 2017

The displacement of the spring,

#### Explanation:

The kinetic energy of the moving object will be

This will be converted to spring potential energy:

Rearranging:

We can substitute in the calculated value of