A ball of mass 0.2 kg moving with a velocity of 6m/s^-1 collides directly with a ball of mass 0.4 kg at rest. Calculate their common velocity if both balls move together.
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Explanation:
Given
Mass of the Object 1 = 0.2 kg
Mass of the Object 2 = 0.4 kg
Initial Velocity of Object 1 = 6 m/s
Final Velocity of Object 2 = ?
Initial velocity of Object 2 = 0 m/s
Final Velocity of Object 2 = ?
Solution
According to the law of Conservation of Momentum
(Mass of Object 1 x Initial Velocity of Object 1) + (Mass of object 2 x Initial velocity of object 2) = (Mass of the object 1 x Final velocity) + (Mass of the object 2 x Final velocity of object 2)
m1u1 + m2u2 = m1v1 + m2v2
1.2 + 0 = (0.2 + 0.4)v2
1.2 = (0.6)v2
1.2/0.6 = v2
2 m/s = v2
Hence the velocity of two object together is 2 m/s
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