The plunger of a pinball machine has mass mp and is attached to a spring of force

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The plunger of a pinball machine has mass mp and is attached to a spring of force constant k (Figure). The spring is compressed a distance x0 from its equilibrium position x = 0 and released. A ball of mass mb is next to the plunger.

(a) Where does the ball leave the plunger?

(b) What is the speed vs of the ball when it separates?

(c) At what distance xf does the plunger come to rest momentarily? (Assume that the surface is horizontal and frictionless so that the ball slides rather than rolls.)

=0 x=0

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