# 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?

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 $\left(\frac{1}{2}\right) m {v}^{2}$=$\left(\frac{1}{2}\right) k {x}^{2}$
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