Question

who proved that f=ma?​

Answer 1

Answer:

I read somewhere, F=ma was proposed in 1716 in a book by Jacob Hermann (1678-1733, Mathematician). Newton's Principia (1st edition 1686, 2nd edition 1713, and 3rd edition 1726) does not contain this formula. If this is the case, why does Newton get great credit for this law, which he has not invented?

Answer 2

$\Huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

F = ma

Where,

F is Force

m is mass

a is acceleration

was proved by Newton.

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We know,

$\Large \displaystyle \longrightarrow {\boxed{\sf{F \: \propto \: \frac{dp}{dt}}}}$

Where,

p is momentum

$\Large \displaystyle \implies {\rm{F \: \propto \: \frac{mv \: - \: mu}{t}}}$

$\Large \displaystyle \implies {\rm{F \: \propto \: m \frac{d(v \: - \: u)}{dt}}}$

$\Large \displaystyle \implies {\rm{F \: = \: k ma }}$

As,

$\LARGE \displaystyle {\boxed{\sf{\underbrace{\frac{v \: - \: u}{t}}_{Acceleration}}}}$

And where, k = Costant = 1 in S.I units

$\LARGE \longrightarrow {\boxed{\boxed{\sf{F \: = \: ma}}}}$