A moving body of mass m and velocity 3 km/h collides with a rest body of mass 2m and stick to it. Now the combined mass starts to move. what will be the combined velocity?

4 km/h

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1 km/h

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2 km/h

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3 km/h

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Solution

The correct option is B 1 km/h
Let $u$ be the inital velocity of mass $m$ and $v$ be the velocity of combined mass.
From the conservation of momentum,
$\Rightarrow m u = (m + 2 m) v$
$\Rightarrow v = \frac{u}{3} = 1 k m / h$

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A moving body of mass m and velocity 3 km/h collides with a rest body of mass 2m and stick to it. Now the combined mass starts to move. what will be the combined velocity?

The correct option is B 1 km/hLet u be the inital velocity of mass m and v be the velocity of combined mass.From the conservation of momentum,⇒mu=(m+2m)v⇒v=u3=1 km/h

The correct option is B 1 km/h
Let $u$ be the inital velocity of mass $m$ and $v$ be the velocity of combined mass.
From the conservation of momentum,
$\Rightarrow m u = (m + 2 m) v$
$\Rightarrow v = \frac{u}{3} = 1 k m / h$