A block of mass 10 kg is attached to the end of a horizontal spring with spring constant k = 1200 Nm^-1. The block is supposed to be sitting on a frictionless horizontal surface.

       a)      Illustrate a sketch of the system.

b)      What force must be applied to the block to compress the spring a distance of 35 mm?

c)      What energy is needed to compress the spring by 35 mm?

d)     If the spring is compressed from its zero position to 70 mm in a period of 2 s what is the Power needed to do this?

e)      If the spring is compressed to 70 mm and then rapidly let go what will the initial acceleration of the block be?

f)       If the surface on which the block rests is no longer frictionless but has a measured coefficient of resistance m= 0.65 what would the initial acceleration of the block be then for the spring compressed by 70 mm as in part e) above?