A spring with a spring constant k=450.0 N/m is attached to a mass of m=8 kg and stretched -0.5 m from its equilibrium position and released.

What is the speed of the block when it is at the equilibrium position?

1 answer

When it has stretched from its maximum position, the potential energy stored in the spring is 1/2*k*x^2 = 1/2*450*.5^2 = 56.25

this is converted to kinetic energy:

56.25 = 1/2*m*v^2 = 1/2*8*v^2

Solve for v