Question

Prove the Newton's second law of motion, mathematically F=ma
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Answer 1

Explanation:

F = ma is the formula of Newton's Second Law of Motion. Newton's Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration. ... But we know that the rate of change of momentum with respect to time is proportional to the applied force.

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Answer 2

Answer:

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p1 = m × u

The final momentum

p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

But we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force

F ∝ [m (v – u)]/t

F ∝ m × a

as acceleration (a) = rate of change of velocity with respect to time.

F = k × m × a

F= 1×m×a

F= ma

Proved

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