If two bodies of masses 2 Kg, 3Kg are moving with 5 m/s and 4 m/s in the same direction they collide and after the collision the first body is moving with 6 m/s find the velocity of second object.
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If two bodies of masses 2 Kg, 3Kg are moving with 5 m/s and 4 m/s in the same direction they collide and after the collision the first body is moving with 6 m/s find the velocity of second object.
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Answer:
3.33 m/s
Explanation:
Given that,
m₁ = 2kg
m₂ = 3kg
u₁ = 5 m/s
u₂ = 4 m/s
v₁ = 6 m/s
v₂ = ?
We know that in the linear collision, momentum is always conserved.
Momentum Before Collision = Momentum After Collision
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(2×5) + (3×4) = (2×6) + 3v₂
10 + 12 = 12 + 3v₂
3v₂ = 10
v₂ = 10/3
v₂ = 3.33 m/s
Note:- Momentum of a body of mass m and moving with velocity v is given by 'mv'. Here u and v represents initial and final velocity of masses m₁ and m₂