Momentum and CollisionHard

Question

A balloon having mass ′m′ is filled with gas and is held in hands of a body. Then suddenly it gets released and gas starts. coming out of it with a constant rat. The velocity of the rejected gas is 2m/s with respect to the balloon. Find out the velocity of the balloon when the mass of gas is reduced to half.

Options

A.ln2
B.2ln4
C.2ln2
D.None of these

Solution

Fext = m vrel ⇒ 0 = m + 2
⇒ - ⇒ v = 2ln2

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