Question

$\green {\large\mathfrak {Give \: the \: mathematical \: formulation \: of}} \red {\large\mathfrak {'Second \: Law \: Of \: Motion'}}$

NOTE :— POINT = 50

$\pink{ \large\mathfrak{ \: \: \: \: \: \: \: \: \: \: \: \: ! No Spam !}}$
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Answer 1

★ Question Given :

• ➦ Give mathematical formula of second law of motion ?

★ Required Solution :

• ➦ F = m × a

✰ Derivation Needed :

• The rate of change in momentum = m × (v - u) / t

✰ According to Newton second law :

• ⇢ F ∝ m (v - u) / t

• ⇢ F = km (v-u) / t

• ⇢F = kma -------- eq (1)

[ Here a is (v-u) / t ]

✰ Where :

• ⇢ a = acceleration

• ⇢ k = constant proportionality

✰ Putting m = 1kg , a = 1 m/s-² :

• ⇢ F = k × 1 × 1

• ⇢ 1N = K × 1 × 1

• ⇢ K = 1

★ From Equation (1) :

• ➦ F = ma

[ This expression represent 2nd law of motion ]

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Answer 2

Question Given :

$\implies$$\pink {\large\mathfrak {Give \: the \: mathematical \: formulation \: of}} \blue {\large\mathfrak {'Second \: Law \: Of \: Motion'}}$

Required Solution :

$\implies$ F = M × A

Where :

• $\longrightarrow$ M = mass

• $\longrightarrow$ A = acceleration

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