Physics, asked by harshmeen0903, 3 months ago

Show the derivation of second law of motion i.e., F=ma

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Answered by Anonymous
6

Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.

\large{\bf{ F∝  \frac{change \: in \: momentum}{time} }}

=> \large{\bf{ F∝\frac{mv - mu}{t} }}

=> \large{\bf{ F∝m( \frac{v - u}{t} ) }}

=> \large{\bf{ F∝ ma(∵a = \frac{v - u}{t})}}

=> \large{\bf{ F = kma}}

=> \large{\bf{ F = ma ( ∵ k =\: constant\: =\: 1 )}}

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