Physics, asked by Pradyumna5804, 1 year ago

Derive an mathematical expression for force

Answers

Answered by yelletipraneeth16
1

f=ma

f=m(v-u)/t

f=workdone/displacement



Answered by Sambhavs
0

Let initial momentum ( p_i) be mu

Let final momentum ( p_f) be mv

According to 2nd law of motion

 \frac{p_f - p_i}{t}  \propto \: f

 \implies \: f  \propto  \frac{mv \: - mu}{t}  \\

 \implies \: f  \propto  \frac{m(v - u)}{t}

f  \propto \: ma \:  \:  \:  \:  \:  \: ( \frac{v - u}{t } = a )

To remove the proportionality sign. We would add k as the proportionality constant

f = kma \\ f = ma \:

because by the definition of force k = 1

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