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Impulse

Impulse, commonly, is defined when a high amount of force acts for a short interval of time, e.g. a cricket bat hitting a ball or two cars hitting each other

From the Newton's second law, the force

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Let us integrate both sides from an initial time ti to the final time tf. We obtain

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The right hand side is impulse image4 the change in the momentum. The left hand side defined as impulse, impulse image5

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The impulse is equal to the change in the momentum.

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The impulse is also the area under the force – time graph shown as the shaded area for one dimensional force.

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