Question

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v₁ while body B is at rest before collision. The velocity of the system after collision is v₂. The ratio v₁ : v₂ is ______.

पर्याय

• 4 : 1

• 1 : 4

• 1 : 2

• 2 : 1

Answer 1

Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v₁ while body B is at rest before collision. The velocity of the system after collision is v₂. The ratio v₁ : v₂ is 2 : 1.

Explanation:

Applying the principle of conservation of momentum:

mv₁ + 0 = 2mv₂

⇒ v₂ = `v_1/2`

Now, `v_1/v_2 = v_1/(v_1//2)`

= `v_1 xx 2/v_1`

= 2

∴ v₁ : v₂ = 2 : 1