julio throws his 0.20kg football in the living room and knocksover his mothers 0

Question

julio throws his 0.20kg football in the living room and knocksover his mothers 0.80 kg antique vase. After collision, thefootball bounces straight back with a speed of 3.9m/s. while thevase is moving at 2.6 m/s, in the opposite direction. how fast didjulio throw the football? i got 14.3 m/s is it correct please tell if wrong julio throws his 0.20kg football in the living room and knocksover his mothers 0.80 kg antique vase. After collision, thefootball bounces straight back with a speed of 3.9m/s. while thevase is moving at 2.6 m/s, in the opposite direction. how fast didjulio throw the football? i got 14.3 m/s is it correct please tell if wrong

Explanation / Answer

    Mass of the ball, M1 = 0.20 kg     Mass of the vase, M2 = 0.80 kg     Velocity of the ball before collision, U1 =?     Velocity of the vase before collision, U2 = 0m/s     Velocity of the ball after collision, V1 = - 3.9m/s   ( opposite to original direction )     Velocity of the vase after collision, V2 = 2.6m/s     From law of conservation of momentum,     Total initial momentum = Total finalmomentum     M1 U1 + M2 U2 = M1 V1 + M2 V2     0.2 * U1 + 0 = 0.2 * - 3.9 + 0.8 * 2.6     0.2 U1 = - 0.78 + 2.08     Velocity of the ball before collision, U1 = 6.5m/s

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