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

##### 2 Answers

Mar 10, 2018

Spring will compress by

#### Explanation:

Kinetic energy of object = Energy stored in spring

#1/2mv^2 = 1/2kx^2#

From above equation

#x = vsqrt(m/k) = "2 m/s" × sqrt("6 kg"/("5 kg/s"^2)) = "2.19 m"#

Mar 10, 2018

The compression is

#### Explanation:

Mass of the object is

Speed of the object is

The kinetic energy of the object is

This energy will be stored in the spring

The spring constant is

Let the compression of the spring be

Therefore,

The compression of the spring is