Question

If you double the mass of an object, how much do you need to change the force to achieve the same acceleration

Answer 1

Answer: The force must be doubled as well

Step-by-step explanation:

According to Newton's second law of motion, the force
`F` exerted on an object is directly proportional to its mass
`m` and acceleration
`a` :

`F=m.a` (1)

Isolating
`a`:

`a=(F)/(m)` (2)

Now if the mass is doubled it will be now
`2 m` and if we want to keep the same acceleration (2), the force also must be doubled, as follows:

`a=(2F)/(2m)=(F)/(m)` (3)