Two balls of masses 100 g and 50 g are moving
along the same straight line with velocties 2
and 1 m/s respectively. They collide and after the
collision the first ball moves with velocity of
1.5 m/s in the same direction. Find the magnitude
of velocity of the second ball
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Given:
The mass of first ball = m
1 = 50 g = 0.05 kg
The mass of the second ball = m
2 = 100 g = 0.1 kg
Initial velocity of the first ball = u
1 = 3 m/s
Initial velocity of the second ball = u2 = 1.5 m/s
Final velocity of the first ball = v
1 = 2.5 m/s
To find:
Final velocity of the second ball = v
2 = ?
We know that, total initial momentum = Total final momentum.
= m1u1 + m2u2 = m1v1 + m2v2
= (0.05 × 3) + (0.1 × 1.5) = (0.05 × 2.5) + (0.1 × v2)
= (0.15)+(0.15) = 0.125 + 0.1v2
= 0.3 = 0.125 + 0.1 v2
= 0.1v2 = 0.3 - 0.125
= v2 = 0.175/0.1
= 1.75 m/s
Therefore, Velocity of Ball after collision is 1.75m/s.
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