A ball of mass 2 kg going with a velocity of 10 m/s collides with another stationery ball of
mass 3 kg. After the collision, the balls move with the same velocity ‘v’ in the original
direction. Find the value of ‘v’.
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EXPLANATION :
Applying conservation of momentum,
m1 v1 = (m1 + m2)v
⟶ v = (m1 v1)/(m1 + m2)
Here,
- m1 = 2kg
- m2 = 3kg
- v1 = 10 m/s
- v = ?
[ Put the values ]
⟶ v = (2 × 10)/(2 + 3)
⟶ v = (20)/(5)
⟶ v = 4 m/s
Therefore,
The value of v is 4 m/s.
★Verification :
m1 v1 = (m1 + m2)v (Formula)
[ Put the values ]
⟶ 2 × 10 = (2 + 3) × 4
⟶ 20 = (5) × 4
⟶ 20 = 20
Hence Verified !!
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