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The impulse on a particle due to a force acting on it during a given t

June 1, 2025 by rawan239

The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its

force

momentum

work done

energy

This question was previously asked in

UPSC NDA-1 – 2016

Download PDF Attempt Online

The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its momentum.

This is a fundamental principle in physics known as the Impulse-Momentum Theorem. Impulse (J) is defined as the product of the force (F) and the time interval (Δt) over which the force acts (J = FΔt). Momentum (p) is the product of mass (m) and velocity (v) (p = mv). The theorem states that the impulse applied to an object is equal to the change in its momentum: J = Δp = mv_f – mv_i, where v_f is the final velocity and v_i is the initial velocity.

Impulse is a vector quantity, having the same direction as the force. The unit of impulse is Newton-second (N·s), which is equivalent to the unit of momentum, kilogram-meter per second (kg·m/s). The Impulse-Momentum Theorem is derived from Newton’s second law of motion (F = ma = m * Δv/Δt) rearranged as FΔt = mΔv.

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