A 20 g ball is fired horizontally with speed v 0 toward a 100 g ball hanging

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A 20 g ball is fired horizontally with speed v0 toward a 100 g ball hanging motionless from a 1.0-m-long string. The balls undergo a head-on, perfectly elastic collision, after which the 100 g ball swings out to a maximum angle θmax = 50°. What was v0 ?

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