# 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

#### Answer:

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

#### Answer:

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