Respuesta :
Answer:
[tex]\boxed {\boxed {\sf 12 \ m/s^2}}[/tex]
Explanation:
Force is the product of mass and acceleration.
[tex]F=ma[/tex]
The mass is 25 kilograms and the force is 300 Newtons, but we should convert the units to make the problem easier later.
- 1 Newton is equal to 1 kilogram meter per square second.
- The force of 300 N is equal to 300 kg*m/s²
Substitute the known values in for the variables ( F and m).
[tex]300 \ kg*m/s^2= (25 \ kg) a[/tex]
Since we are solving for a, we must isolate the variable. a is being multiplied by 25 kilograms and the inverse of multiplication is division. Divide both sides by 25 kg.
[tex]\frac{ 300 \ kg*m/s^2}{25 \ kg}= \frac{(25 \ kg) a}{25 \ kg}[/tex]
[tex]\frac{ 300 \ kg*m/s^2}{25 \ kg}= a[/tex]
The kilograms will cancel out (hence our earlier unit conversion).
[tex]12 \ m/s^2=a[/tex]
The acceleration is 12 meters per square second.