Question

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

NOTE :— POINT = 50

$\pink{ \large\mathfrak{ \: \: \: \: \: \: \: \: \: \: \: \: ! No Spam !}}\ \textless \ br /\ \textgreater$
​

Answer 1

Mathematical Formulation of Second Law of Motion:

∝ m × (v – u). The unit of force is kg m s-2 or newton, which has the symbol N. The second law of motion gives us a method to measure the force acting on an object as a product of its mass and acceleration.

Hope it helps!!

Answer 2

★ 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 ]

____________________