Question

write the second law of motion and derive its mathematical formula​

Answer 1

Answer:

Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .

Explanation:

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Answer 2

Answer:

Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.

F∝

Time

Changeinmomentum

F∝ t

mv−mu

F∝m(tv−u )

⇒F∝ma⇒F=kma(∵a= tv−u)

⇒F=ma(∵k=constant=1)