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NEET 2011 (AIPMT, Mains) · Collisions

Collisions question from NEET 2011 (AIPMT, Mains)

Q12NEET 2011 · AIPMT · MAINSMedium

Collisions

A mass m moving horizontally (along the x-axis) with velocity $v$ collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2 $v$ . The final velocity of the combination is

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Answer: (b)

Momentum is conserved in each direction; total mass $4m$ .
$x$ : $mv = 4m\,v_x \Rightarrow v_x = \frac{v}{4}$
$y$ : $3m(2v) = 4m\,v_y \Rightarrow v_y = \frac{3v}{2}$
So the answer is (b) $\frac{1}{4}v\hat i + \frac{3}{2}v\hat j$ .

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