When a force FFF is applied to an object, the acceleration aaa it experiences is given by Newton's second law:
F=m×aF=m\times aF=m×a
If the acceleration is 2 m/s² for an object of mass mmm, then applying the same force FFF to an object with twice the mass 2m2m2m results in acceleration a′a'a′:
a′=F2m=m×22m=22=1 m/s2a'=\frac{F}{2m}=\frac{m\times 2}{2m}=\frac{2}{2}=1\text{ m/s}^2a′=2mF=2mm×2=22=1 m/s2
Thus, the acceleration will be half the original, i.e., 1 m/s².
Explanation
- Newton's second law states the acceleration is inversely proportional to the mass when force is constant.
- Doubling the mass while applying the same force reduces the acceleration by half.
This simple inverse relationship means that if mass doubles, acceleration halves, assuming the force remains unchanged.