Physics, asked by Sofia213, 29 days ago

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

Answered by VishnuPriya2801
38

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.

Answered by Itzheartcracer
21

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

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