Two bodies of 5kg and 3kg moving with velocities 3m/s and 10m/s in straight line with 3kg behind 5kg collide. After the collision, 3kg has a velocity of 5m/s. Find the velocity of 5kg mass.
Answers
Answer:-
Given:
Mass of first body (m₁) = 5 kg
Mass of second body (m₂) = 3 kg
Initial velocity of first body (u₁) = 3 m/s
Initial velocity of second body (u₂) = 10 m/s
Finial velocity of second body (v₂) = 5 m/s
We know that, the Law of Conservation of moment states that the total momentum of a system before collision is equal to the total momentum after collision.
So,
⟹ m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Let , the final velocity of the first body be v₁.
⟹ (5)(3) + (3)(10) = (5)(v₁) + (3)(5)
⟹ 15 + 30 = 5v₁ + 15
⟹ 30 = 5v₁
⟹ 30/5 = v₁
⟹ 6 m/s = v₁
∴ The velocity of the 5 kg mass body after collision is 6 m/s.
Given :-
Two bodies of 5kg and 3kg moving with velocities 3m/s and 10m/s in a straight line with 3kg behind 5kg collide. After the collision, 3kg has a velocity of 5m/s.
To Find :-
Find the velocity of 5kg mass.
Solution :-
We know that
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Here
- m₁ = 5 kg
- m₂ = 3 kg
- u₁ = 3 m/s
- u₂ = 10 m/s
- v₁ = ?
- v₂ = 5 m/s
On putting value
5 × 3 + 3 × 10 = 5 × v₁ + 3 × 5
15 + 30 = 5v₁ + 15
45 = 5v₁ + 15
45 - 15 = 5v₁
30 = 5v₁
30/5 = v₁
6/1 = v₁
6 = v₁
Hence
Velocity of 5 kg mass is 6 m/s