Physics compression static friction question?

Question

A spring with a force constant of 130 N/m is used to push a 0.27 kg block of wood against a wall.
Find the minimum compression of the spring needed to keep the block from falling, given that the coefficient of static friction between the block and the wall is 0.37.

Answer 1

The weight of the wood is m*g. If the wood is not to fall, the static friction must be an equal and opposite force. So
m*g = mu*N.

The spring must be compressed to the extent that it is providing the normal force N to the wood. So
m*g = mu*N
and
N = force constant*compression distance