Why it is said " force applied on a body is directly proportional to the acceleration produced in the body " in my opinion it should be called as"force is directly proportional to mass and acceleration produce by the body "
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Proportionality constant is applied between two quantities in an equation in which the other quantity (or quantities) is a constant.
In the equation,
F =ma,
mass is a constant. It is not varying with any of the factors such as time, temperature or pressure.
So it can be taken as a constant. Let it be 'k'.
So we can rewrite the above equation as
F = ka, where k is a constant or simply
F proportional to a.
We connot say that F is directly proportional to mass and acceleration.
But we can say that F directly proportional to m,
if we take m as a variable and it varies with some factor ( if you want).
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