A spring with a constant of #9 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #3 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
Mar 12, 2016

Answer:

#Delta x=3sqrt3 " "m#

Explanation:

#E_k=1/2*m*v^2#
#"The kinetic energy of object moving a speed of v and mass of m"#
#E_k=1/2*3*9^2#
#E_p=1/2 k*Delta x^2" The Potential energy of spring compressed"#
#E_k=E_p" Energy is not lost"#
#cancel(1/2)*3*cancel(9^2)=cancel(1/2)*cancel(9)*Delta x^2#
#3*9=Delta x^2#
#sqrt(3*9)=sqrt (Delta x^2)#
#Delta x=3sqrt3 " "m#