By Newton's second law we have:
[tex]a=\frac{F}{m}[/tex]From the original mass, force an acceleration we have:
[tex]\frac{F}{m}=12[/tex]Now if we doubled the force and take a third of the mass we would have:
[tex]\frac{2F}{\frac{1}{3}m}=\frac{2}{\frac{1}{3}}\cdot\frac{F}{m}=6\cdot(12)=72[/tex]Therefore the acceleration in this case would be 72 meters per second per second.
