25. (a) State Newton's second law of motion. Derive, its mathematical expression.
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Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics.
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Newton’s second law of motion states that the force exerted by a
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∝ TimeChange in momentum
momentum
momentum
momentum F∝ t
momentum F∝ tmv−mu
momentum F∝ tmv−muF∝m( tv-u )
)⇒F∝ma⇒F=kma(∵a= tv−u )
)⇒F∝ma⇒F=kma(∵a= tv−u )⇒F=ma(∵k=constant=1)
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