The force-time graph for a moving object is shown. The change in linear momentum between 0 s and 8 s is

F1 Shraddha Prabhu 04.08.2021 D9

  1. 4 Ns
  2. 8 Ns
  3. 16 Ns
  4. 32 Ns

Answer (Detailed Solution Below)

Option 1 : 4 Ns
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The correct answer is option 1) i.e. 4 Ns

CONCEPT:

  • Momentum: Momentum is the impact due to a moving object of mass m and velocity v. The momentum (p) of an object is expressed as:

⇒ p = mv

  • Impulse: The change in momentum of an object when the object is acted upon by a force for a certain amount of time is called impulse.

The Impulse is expressed mathematically as:

⇒ Δp = FΔt

Where Δp is the change in momentum, F is force, and Δt is the time taken.

EXPLANATION:

  • The area under the net force vs time graph represents the change in momentum i.e. impulse.

The change in linear momentum between 0 s  8 s = \(\frac{1}{2} \times 8\:s \times 1\:N = 4 \:Ns\)

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