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

##### 1 Answer

Jan 11, 2018

6.57 meters

#### Explanation:

Let's assume,after the collision the spring gets compressed by x meters,

So using law of conservation of energy,we can say that the kinetic energy of the object will get stored as elastic potential energy of the spring.

i.e

Where, k is the spring constant,m is the mass of the object and v is its velocity with which it hit the spring.

Solving the equation we get,

x=6.57 meters