What is the relationship between force and acceleration?

Newton's second law of motion describes the relationship between force and acceleration.

The force is defined as the rate of change of momentum of a body


OR in mathematical terms,


F= dP/dt


where P is momentum that is equal to m*v, where m is mass of the body and v is its velocity.


Putting this value, we get


F= d (mv)/dt


If the mass of the body is constant not variable then m is constant and can be taken out


F= m (dv/dt)


Now rate of change of velocity with respect to time is acceleration, a


So, F = ma


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