A body of mass 2 kg moving with a velocity -2 -3 k- ms -1 collides with another body of mass 3 kg moving with a velocity 2 -k- in ms -1- If they stick together- the velocity in ms -1 of the composite body is A- 1-5-4 -7 -3 k-B- 1-58 -7 -3 k-C- 1-5-4 -3 k-D- 1-58 -k-

The correct option is B p_1=2 kg(î+2 ĵ 3 k̂) ms^ 1=(2 î+4 ĵ 6 k̂) kg ms^ 1 p_2=3 kg(2 î+ ĵ+ k̂) ms^ 1=(6 î+3 ĵ+3 k̂) kg ms^ 1 Resultant momentum is p=p_1+p_2 ...

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Byju's Answer

Standard XII

Physics

Com in Perfectly Inelastic Collision

A body of mas...

Question

A body of mass 2 kg moving with a velocity $(^i + 2^j - 3^k) m s^{- 1}$ collides with another body of mass 3 kg moving with a velocity $(2^i +^j +^k)$ in $m s^{- 1}$ . If they stick together, the velocity in $m s^{- 1}$ of the composite body is

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Solution

The correct option is A
$p_{1} = 2 k g (^i + 2^j - 3^k) m s^{- 1} = (2^i + 4^j - 6^k) k g m s^{- 1} p_{2} = 3 k g (2^i +^j +^k) m s^{- 1} = (6^i + 3^j + 3^k) k g m s^{- 1}$
Resultant momentum is
$p = p_{1} + p_{2}$
= $(2^i + 4^j - 6^k) + (6^i + 3^j + 3^k)$
= $(8^i + 7^j - 3^k) k g m s^{- 1}$
Total mass (m) = 2 + 3 = 5 kg. Therefore, the velocity of composite body is
$v = \frac{p}{m} = \frac{1}{5} (8^i + 7^j - 3^k) m s^{- 1}$
Hence the correct choice is (a).

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