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Mathematical formulation of second law of motion.​

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Answered by yashikarawat48
1

Answer:

Mathematical Formulation of Second Law of Motion

The initial and final momentum of the object will be, p1 = mu and p2 = mv respectively. ∝ m × (v – u). ... 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.

Answered by ItzSnowFall
1

Answer:

Suppose, the velocity of a body of mass, m changes from u to v in time, t.

The initial momentum (P1) = mu

and, final momentum (P2) = mv

Now, according to Newton's second law of motion, the magnitude of the force F, is

F ∝ (P2 - P1) /t

or, F = K (P2 - P1) /t

or, F = K(mv - mu) /t

or, F = K m(v - u) /t

Or, F = K ma

The unit of force is so chosen that the value of constant becomes one.

Thus, F = ma

i.e, Force = mass × acceleration.

Explanation:

Hope it helps♡

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