Answer:
[tex]\boxed {\boxed {\sf \frac{1}{2} \ or \ 0.5 \ kg}}}[/tex]
Explanation:
Force is the product of mass and acceleration.
[tex]F=ma[/tex]
We know the force is 3.0 Newtons and the acceleration is 6.0 meters per square second.
Let's convert the Newtons to make the problem easier later.
- 1 Newton is equal to 1 kilogram meter per square second.
- The force of 3.0 N is equal to 3.0 kg*m/s²
[tex]F= 3.0 \ kg*m/s^2 \\a= 6.0 \ m/s^2[/tex]
[tex]3.0 \ kg *m/s^2= m (6.0 \ m/s^2)[/tex]
Since we are solving for mass, we must isolate the variable. It is being multiplied and the inverse is division. Divide both sides by 6.0 meters per square second.
[tex]\frac {3.0 \ kg *m/s^2}{6.0 \ m/s^2}= \frac{m (6.0 \ m/s^2)}{6.0 \ m/s^2}[/tex]
[tex]\frac {3.0 \ kg *m/s^2}{6.0 \ m/s^2}=m[/tex]
The meters per square second cancel, hence our earlier unit conversion.[tex]\frac{1 }{2} \ kg =m[/tex]
The mass of the object is 1/2 or 0.5 kilograms
