An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 200 n. (a) what is the equivalent spring constant of the bow

Amass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. initially, the mass is released from rest from a point 8 inches below the equilibrium position. find the equation of motion. (use g = 32 ft/s2 for the acceleration due to gravity.)