Question

Mathematical formulation of second law of motion​

Answer 1

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Answer 2

Answer:

HEY MATE ,

Explanation:

. Suppose an object of Mass , m is moving along a Straight line with an initial velocity , u ,it is uniformly accelerated to velocity v  in time , t t by the application of a constant force , f throughout the time  t . The initial and final momentum of the object will be  p , = mu and p 2 = mv respectively.

. The change in Momentum =     ∝  p2 - p 1

                                               =   ∝  mv ×  ( v - u )

                                              =  ∝   mv × mu

. The rate of change of momentum m × ( v - u ) / t

or , the applied force ,

= F ∝ m × ( v - u) / t

= F = km × ( v - u ) / t

=  k m a

Here , a [ v - u ] / t is the acceleration , which is the rate of change of velocity . the quantity , k is a constant of proportionally .

More : The SI Unit of mass and acceleration are kg and m s ^ -2 respectively .

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