## Question

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

## Detailed Solution

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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