when you apply a force, f, to an object you get an acceleration of 2m/s2. if you apply the same force to an object with twice the mass, what is the acceleration? m/s

The acceleration will be 1 m/s². Using Newton’s second law, F=maF=maF=ma.

• First object: F=m×2F=m\times 2F=m×2.
• Second object has twice the mass, 2m2m2m, but the same force FFF. So

F=2m×a2F=2m\times a_2F=2m×a2​

and we also know F=2mF=2mF=2m. Setting them equal:

2m=2m×a2⇒a2=1 m/s2.2m=2m\times a_2\Rightarrow a_2=1\text{ m/s}^2.2m=2m×a2​⇒a2​=1 m/s2.