# 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 #1 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

##### 1 Answer

Compression of the spring

#### Explanation:

Suppose the spring be compressed by

Force which compressed the string is the force applied by the moving body which came to rest after acting on the spring.

The speed of the object changed from

Using the expression from linear motion

where

Inserting the given values we obtain

recall that the compressing objects moves distance

We know that Force

From Hooke's law for springs we know that

Reaction Force

Now inserting the various values in the equation we obtain

or