Two equal-length springs are “nested” together in order to form a shock absorber. If it is...

Two equal-length springs are “nested” together in order to form a shock absorber. If it is designed to arrest the motion of a 2-kg mass that is dropped s = 0.5 m above the top of the springs from an at-rest position, and the maximum compression of the springs is to be 0.2 m, determine the required stiffness of the inner spring, kB, if the outer spring has a stiffness kA = 400 N/m.