Question

Derive an expression for force (F) acting on a body of mass (m) and moving with an acceleration
(a).

Answer 1

Answer:

F= Ma

Explanation:

we know from Newton's second law, rate of change of momentum is directly proportional to the applied unbalanced force in the direction of force

we know that Momentum is equal to mass X velocity i. e, mv

therefore force is directly proportional to mv1-mv2/t

taking m common

F is directly proportional to m(v1-v2/t)

=ma (because v-u/t is a)

therefore F is directly proportional to ma

removing the proportionality sign we will put an equal to sign keeping a constant of proportionality on right hand side

we know that in this case constant of proportionality is 1 therefore F = ma