Answer:
[tex]\boxed {\boxed {\sf 6.25 \ kilograms}}[/tex]
Explanation:
According to Newton's Second Law of Motion, force is the product of mass and acceleration.
[tex]F= m \times a[/tex]
We know the force is 50 Newtons and the acceleration is 8 meters per second squared. Let's convert the units to make the problem and unit cancellation easier.
1 Newton is equal to 1 kilogram meter per square second (1 kg*m/s²), so the force of 50 N is equal to 50 kg*m/s².
Now we know 2 values:
Substitute the values into the formula.
[tex]50 \ kg *m/s^2= m \times 8 \ m/s^2[/tex]
Since we are solving for the mass, we must isolate the variable, m. It is being multiplied by 8 meters per square second and the inverse of multiplication is division. Divide both sides by 8 m/s².
[tex]\frac {50 \ kg *m/s^2}{8 \ m/s^2}= \frac{m \times 8 \ m/s^2}{8 \ m/s^2}[/tex]
[tex]\frac {50 \ kg *m/s^2}{8 \ m/s^2}= m[/tex]
The units of meters per square second (m/s²) cancel.
[tex]\frac {50 \ kg }{8 }=m[/tex]
[tex]6.25 \ kg =m[/tex]
The mass is 6.25 kilograms.
