Two equal-length springs are “nested” together in order to form a shock absorber. If it is designed to arrest the motion of mass M that is dropped from a height s₁ above the top of the springs from an at-rest position, and the maximum compression of the springs is to be δ, determine the required stiffness of the inner spring, k_B, if the outer spring has a stiffness k_A.

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Given: M = 2 kg КА = 400 N m $1 = 0.5 m 8 = 0.2 m g = 9.81 m 2 S