Final velocity of the first ball According to the law of conservation of momentum, momentum + m u = m 2 (0.05 X 3) + (0.1 X 1.5) = (0.05 X 2.5) + (0.1 XV 2 .. (0.15)+(0.15) = 0.125 + 0.1v, ..0.3 = 0.125 + 0.1 V2 0.175 .. 0.1v, = 0.3 - 0.125 V, ..V = 0.1 = 1.75 m/s
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According to the law of conservation of momentum, total momentum must be conserved. The final momentum of the first object is equal to 8 kg * 4 m/s = 32 N·s . To ensure no losses, the second object must have momentum equal to 80 N·s - 32 N·s = 48 N·s , so its speed is equal to 48 Ns / 4 kg = 12 m/s
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