Question

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

Answer 1

`\boxed {\boxed {\sf 12 \ m/s^2}}`

Step-by-step explanation:

Force is the product of mass and acceleration.

`F=ma`

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).

`300 \ kg*m/s^2= (25 \ kg) a`

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.

`( 300 \ kg*m/s^2)/(25 \ kg)= ((25 \ kg) a)/(25 \ kg)`

`( 300 \ kg*m/s^2)/(25 \ kg)= a`

The kilograms will cancel out (hence our earlier unit conversion).

`12 \ m/s^2=a`

The acceleration is 12 meters per square second.