Question

If Force is directly proportional to acceleration as well as mass, i.e. they are Proportional to each other, then why does acceleration Decrease with increase in mass?

Answer 1

Force is directly proportional to mass& acceleration. But mass isn't directly proportional to Acceleration.

We have,

F ∝ m

F ∝ a

Which gives F ∝ ma.

Let the force acting to be constant ( 1 )

1 ∝ ma

m ∝ 1/a .

Hence, We have proved that mass is inversely proportional to acceleration.

Greater the mass, lesser the acceleration.
Lesser the mass, greater the acceleration .

Answer 2

Heya!
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Newton's second law states-

F∝ma

Force is directly proportional to mass and Acceleration.

But, if mass increases will Acceleration increase? No. Why?

This is so because,

F∝ma
m∝F/a

So, if there will be increase in mass, there will be decrease in Acceleration.

And if there will be decrease in mass, there will be increase in Acceleration.

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Hope it helps...!!!