# A spring with a constant of #6# #kgs^-2# is lying on the ground with one end attached to a wall. An object with a mass of #3# #kg# and speed of #9# #ms^-1# collides with and compresses the spring until it stops moving. How much will the spring compress?

##### 1 Answer

Mar 12, 2018

This is a case where kinetic energy

Rearranging:

#### Explanation:

Here is the rearranging of the spring potential energy equation. I have left off the subscript for simplicity:

Multiply both sides by 2:

Divide both sides by

Swap the sides:

Take the square root of both sides: