A mass of 0.5kg is attached to a spring. The mass is then displaced from its equilibrium position by 5cm and released. Its speed as it passes the equilibrium position is 50cm per seconds.

a) Calculate the spring constant of the spring.
b) Calculate the maximum acceleration of the block.
c) Calculate the speed of the block when x= 3cm.
d) Calculate the period of oscillation.
e) Calculate the total acceleration when x= 2cm.
f) Calculate the total mechanical energy of the system.

1 answer

take a look here: http://labman.phys.utk.edu/phys221core/modules/m11/harmonic_motion.html