derive Newton's second Law of motion
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Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
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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
Change in momentum
F∝ t mv−mu
F∝m( tv−u )
⇒F∝ma⇒F=kma(∵a= tv−u )
⇒F=ma(∵k=constant=1)
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