two balls of mass 2kg and 3kg moving with the velocity of 3m/s and 5m/s respectively.After collusion the first ball moving with the velocity of 4m/s.Find the Velocity of second ball after collusion.
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Given :
Mass of first ball, m₁ = 2Kg
Mass of second ball, m₂ = 3Kg
Before collusion,
- Velocity of 1st ball, u₁ = 6m/s
- Velocity of 2nd ball, u₂ = 4m/s
After collision,
- Velocity of 1st ball, v₁ = 4m/s
To find :
Velocity of second ball after collusion.
Solution :
Using law of conservation of momentum that is Initial momentum is equal to final momentum. Momentum is measured as the product of mass and velocity.
Initial P = Final P
By substituting all the given values in the formula,
➛ m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
➛ (2)(6) + (3)(4) = (2)(4) + (3)v₂
➛ 12 - 12 = 8 + 3v₂
➛ 0 = 8 + 3v₂
➛ 3v₂ = 8
➛ v₂= 8/3
➛ v₂ = 2.6 m/s
Thus, the velocity of second ball after collusion. is 2.6m/s.
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