A spring with a constant of 5kgs2 is lying on the ground with one end attached to a wall. An object with a mass of 6kg and speed of 6ms collides with and compresses the spring until it stops moving. How much will the spring compress?

1 Answer
Jane
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 (12)mv2=(12)kx2
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

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