A spring with a constant of #4 (kg)/(s^2)# is lying on the ground with one end attached to a wall. An object with a mass of #4 kg # and speed of # 8 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

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Answer 1 · 2016-06-19T19:02:31

It will compress #8m#.

Mass of object =4 kg
Velocity=8m/s

#KE=1/2 mv^2#
#KE=128 j #

Since ,energy is always conserved.

Spring potential energy = kinetic energy of that body

#PE= 1/2 K X^2#
#128=2 × X^2#
# 64 = x^2#

#X= 8 m#