A spring with a constant of 8 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 7 kg and speed of 9 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?

1 Answer
P dilip_k
Feb 13, 2016

The compression of spring would be 8.42 m

Explanation:

Here the kinetic energy of the moving body = potential energy stored in the compressed spring due to collision
KE = 1/2mv^2 where m = mass and v = velocity
PE stored in the spring = 1/2kx^2 where x = compression and k force constant
equating this two we hqve

The compression of spring,x= sqrt(mv^2/k = sqrt(7*9^2/8) =8.42 m

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