A spring is attached to the top of a table. The spring has a spring constant of 500.0 N/m. The spring is initially compressed by 1.50 m by a baseball (0.145 kg).

Question

How much energy is present in the system from the compression?

After release, what is the velocity at which the baseball is instantaneously speed up to?

What was the max height achieved by the object?

Answer 1

energy=1/2 k x^2

after release
KE=initial spring energy
1/2 m v^2=1/2 kx^2
v= x sqrt(k)

max height:
final PE=initialspringPE
mgh=1/2 k x^2
h= 1/2 k/g x^2