Question

explain the equation f = MA

Answer 1

Hii.. Your answer
According to Newton's second law of motion force is directly proportional to mass and force is directly proportional to acceleration.
F is directly proportional to a
And F Is directly proportional to m
F is directly proportional to m. a
F=k. m. a
Where k=1
F=m.a

Answer 2

» Force is the proportional the product of mass and acceleration.

hence

=> Force directly proportional to m^P.a^Q

=> F directly proportional m^P.a^Q

$= > F = k { m}^{P} {a}^{Q}$

» Substitute Dimension formula :-

$= > [ {M}^{1} {L}^{1} {T}^{ - 2} ] = [ {M}^{} ] {}^{P} {[l {t}^{ - 2} ]}^{Q} \\ \\ = > [ {M}^{1} {L}^{1} {T}^{ - 2} ] = [ {M}^{P} {l}^{Q} {t}^{ - 2Q} ]$

» compare the exponent to similar term :-

then

=> P = 1 and Q = 1

So

$= > F = k{m}^{1} {a}^{1}$

» The proportionaliity constant K = 1 (From Experiment)

So

=> F = ma

_________[PROVED]