# A spring with a constant of #6 (kg)/(s^2)# is lying on the ground with one end attached to a wall. An object with a mass of #8 kg # and speed of # 5 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

##### 1 Answer

Mar 5, 2017

#### Answer:

#### Explanation:

Assuming no energy is lost, the energy stored by the spring will equal the kinetic energy beforehand.

Potential energy in a spring is

where

Kinetic energy is given by

where

If all the energy is conserved between the two,

The question asks for the extension,

We know from the question that