You attach one end of a spring with a force constant k = 773 N/m to a wall and the other end to a mass m = 2.82 kg and set the mass-spring system into oscillation on a horizontal frictionless surface. To put the system into oscillation, you pull the block to a position x_i = 7.16 cm from equilibrium and release it.

(a) Determine the potential energy stored in the spring before the block is released. J (b) Determine the speed of the block as it passes through the equilibrium position. m/s (c) Determine the speed of the block when it is at a position x_i/4.

m/s