If the velocity of a body is doubled, its momentum ________.

Question

Question

This question was previously asked in

SSC CHSL Previous Paper 86 (Held On: 28 March 2018 Shift 3)

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Answer 1

CONCEPT:

EXPLANATION:

Since, P = m v

Let the initial velocity of the body be v

Since the Mass of the body is constant

So, P₁ = m v ----(i)

According to the question

The new velocity of the body = 2v

New Momentum (P₂) = m × 2v

⇒ P2 = 2mv ----(ii)

On dividing (ii) by (i), we get

\(\frac {P_2} {P_1} = \frac{2mv}{mv}\)

⇒ P₂ = 2 P₁

∴ The momentum will be doubled.

Key Points

If the velocity of a body is doubled then its momentum doubles because velocity is directly proportional to momentum. So option 2 is correct.