contestada

21. A 300 N force acts on a 25 kg object. The acceleration of the object is
7500m/s
300 m/s
25m/s
12m/s

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.