Question

derive relation between force applied and acceleration produce using Newton second law of motion

Answer 1

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According to Newton's second law of motion:-

FORCE=CHANGE IN MOMENTUM/TIME TAKEN

F = (mv-mu)/t

f = m×((v-u)/t) ---------(1)

{ from first equation of motion}:-

v = u+at
v-u = at
(v-u)/t = a -------(2)

{ put (2) in (1) }


f = m × a


so from this expression, we come to know that force and acceleration are directly proportional....

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Answer 2

According to newton's second law

F= mv/t - mu/t or m(v-u)/t ---- 1

From 1st eq of motion

a = v-u/t ------2

From 1 and 2 we can say that

F = ma