Answer:
[tex]\boxed {\boxed {\sf m= 2 \ kg , \\a= 34 \ m/s^2, \\\F= 68 \ N}}[/tex]
Explanation:
The formula for force is:
[tex]F=m*a[/tex]
If we rearrange the formula to solve for a (acceleration), the formula becomes
[tex]\frac{F}{m} =a[/tex]
The force is 68 Newtons. Let's convert the units to make the problem easier later on. 1 N is equal to 1 kg*m/s², so the force of 68 N is equal to 68 kg*m/s².
The mass is 2 kilograms.
[tex]F=68 \ kg*m/s^2 \\m= 2\ kg[/tex]
Substitute the values into the formula.
[tex]\frac{68 \ kg*m/s^2}{2 \ kg} =a[/tex]
Divide. Note that the kilograms will cancel each other out (hence why we changed the units).
[tex]\frac{68 \ m/s^2}{2}=a[/tex]
[tex]34 \ m/s^2=a[/tex]
The acceleration is 34 meters per second squared.
