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Byju's Answer

Standard XII

Physics

The 'e' Equation

A particle of...

Question

A particle of mass $1 g$ moving with a velocity $_{1} = 3^i - 2^j m s^{- 1}$ experiences a perfectly in elastic collision with another particle of mass $2 g$ and velocity $_{2} = 4^j - 6^k m s^{- 1}$ . The velocity of the particle is:

2.3 m s^{- 1}

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4.6 m s^{- 1}

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9.2 m s^{- 1}

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6 m s^{- 1}

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Solution

The correct option is B $4.6 m s^{- 1}$
From conservation of momentum
$m_{1}_{1} + m_{2}_{2} = (m_{1} + m_{2}) \to v$

$1 \times (3^i - 2^j) + 2 \times (4^j - 6^k) = (1 + 2) \to v$

$\Rightarrow 3^i + 6^j - 12^k = 3 \to v$

$\Rightarrow \to v =^i + 2^j - 4^k$

$v = | \to v | = \sqrt{1 + 4 + 16} = 4.6 m s^{- 1}$ .

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A particle of mass 1 g moving with a velocity →v1=3^i−2^jms−1 experiences a perfectly in elastic collision with another particle of mass 2 g and velocity →v2=4^j−6^kms−1. The velocity of the particle is:

The correct option is B 4.6 ms−1From conservation of momentumm1→v1+m2→v2=(m1+m2)→v1×(3^i−2^j)+2×(4^j−6^k)=(1+2)→v⇒3^i+6^j−12^k=3→v⇒→v=^i+2^j−4^kv=|→v|=√1+4+16=4.6 ms−1.

A particle of mass $1 g$ moving with a velocity $_{1} = 3^i - 2^j m s^{- 1}$ experiences a perfectly in elastic collision with another particle of mass $2 g$ and velocity $_{2} = 4^j - 6^k m s^{- 1}$ . The velocity of the particle is: