Answer:
[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]
Step-by-step explanation:
The formula for force is:
[tex]F=m*a[/tex]
If we rearrange the formula for acceleration (a) and divide both sides by m we get:
[tex]\frac{F}{m}=a[/tex]
The net force is 10 Newtons. Let's convert the units to make the problem easier later on.
- 1 Newton=1 kg*m/s²
- The net force of 10 Newtons is equal to 10 kg*m/s²
The mass is 2 kilograms.
[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]
Substitute the values into the formula.
[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]
Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)
[tex]\frac{10 \ m/s^2}{2}=a[/tex]
[tex]5 \ m/s^2=a[/tex]
The acceleration of the box is 5 meters per second squared.
