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


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