Answer: The force must be doubled as well
Explanation:
According to Newton's second law of motion, the force [tex]F[/tex] exerted on an object is directly proportional to its mass [tex]m[/tex] and acceleration [tex]a[/tex] :
[tex]F=m.a[/tex] (1)
Isolating [tex]a[/tex]:
[tex]a=\frac{F}{m}[/tex] (2)
Now if the mass is doubled it will be now [tex]2 m[/tex] and if we want to keep the same acceleration (2), the force also must be doubled, as follows:
[tex]a=\frac{2F}{2m}=\frac{F}{m}[/tex] (3)
