A 95.5 g mass is attached to a horizontal spring with a spring constant of 11.2 N/m and released from rest with an amplitude of 35.8 cm.
What is the velocity of the mass when it is halfway to the equilibrium position if the surface is frictionless? Answer in units of m/s.
Halfway?
starting energy= 1/2 k .358^2 that is PE
PE at half way= 1/2 k (.358/2)^2=1/4 starting PE
so KE must be 3/4 starting energy.
1/2 m v^2= 3/4*1/2 k (.358)^2
solve for v.