What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (i. E. If you increase one variable what happens to the acceleration?)

1. Unbalanced Force (If you increase force, the acceleration will increase)

2. Mass of Body (If you increase mass, the acceleration will decrease)

Explanation:

According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:

“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”

The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,

   aαF

and,    aα1/m

where,

a = acceleration

F = Unbalanced Force

m = Mass of Body

So, the acceleration increases when the unbalanced force increase and vice versa.

And the acceleration decreases when the mass of body increase and vice versa.

combining above equations:

aαF/m

a=(Constant)F/m

here,

Constant=1

therefore,

F=ma