A ball of mass m =1.80 kg is released from rest at a height h = 65.0 cm above a light vertical spring of force constant k as in Figure P5.66a. The ball strikes the top of the spring and compresses it a distance d =9.00 cm as in Figure P5.66b. Neglecting any energy losses during the collision, find (a) the speed of the ball just as it touches the spring and (b) the force constant of the spring.

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