Question

Is the mass of a body and acceleration working on that are doubled then force acting on it will be become?

Answer 1

It quadruples, i.e. becomes `4` times stronger than the original force.

Explanation:

Force is defined by the following equation

`F=ma`, where `m` is the mass of the object, and `a` is the acceleration of the object.

Let `F_1` be the initial force, then we have

`F_1=m_1a_1`

Let `F_2` be the new force, then we got

`F_2=m_2a_2`

Since we know that the mass and the acceleration of the object has doubled by any circumstances, then we have

`m_2=2m_1,a_2=2a_1`

We can now replace them in `F_2` to get

`F_2=2m_1*2a_1`

`F_2=4m_1a_1`

`F_2=4*m_1a_1`

Now, we can substitute `F_1` into `m_1a_1` because `F_1=m_1a_1`.

`:.F_2=4F_1`

So, the new force will be `4` times stronger than the original force.