A spring with a constant of #2 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #8 kg# and speed of #1 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

1 Answer
Feb 12, 2016

Answer:

#x=2 m#

Explanation:

#E_k=1/2*m*v^2 " Object's kinetic energy"#
#E_k=1/2*8*1^2#
#E_k=4J#
#"the kinetic energy of object turns the potential energy on spring"#
#E_p=1/2*k*Delta x^2" Potential energy on spring"#
#E_p=1/2*2*Delta x^2#
#E_p=Delta x^2#
#E_p" must be equal to " E_k#
#4=Delta x^2#
#x=sqrt 4#
#x=2 m#