Large force always produces large change in momentum on a body than a small force. Is this correct?

Monjur Alahi

Large force always produces large change in momentum on a body than a small force. Is this correct?


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Salim Ahmed Kawsar

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No. From Newton’s second law, we have.

\(\frac{dP}{dt}=F\) …. (i)

dP = Fdt …. (ii)

From equation (ii), we can infer that a small force acting for a longer time can produce same change in momentum of a body as a large force acting in the same direction for a short time. 

Hence, the given statement is incorrect.

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