what is the mathematical formula of Newton's second law
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Mathematical Formulation of Second Law of Motion
Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v.
Here we see that, the initial momentum
The final momentum
The change in momentum can be written as
As we know, the rate of change of momentumwith respect to time is proportional to the applied force.
The applied force
Or,
as acceleration (a) = rate of change of velocity with respect to time.
where k = constant of proportionality.
The SI units of mass and acceleration are kg and m s-2 respectively.
Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v.
Here we see that, the initial momentum
The final momentum
The change in momentum can be written as
As we know, the rate of change of momentumwith respect to time is proportional to the applied force.
The applied force
Or,
as acceleration (a) = rate of change of velocity with respect to time.
where k = constant of proportionality.
The SI units of mass and acceleration are kg and m s-2 respectively.
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