To find the mass of an object when the force applied to it and its acceleration are known, we use Newton's second law of motion. The law states that the force applied on a body is equal to the mass of the body multiplied by its acceleration. Mathematically, this principle is written as:
[tex]\[ F = m \cdot a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force
- [tex]\( m \)[/tex] is the mass
- [tex]\( a \)[/tex] is the acceleration
To solve for mass, we need to isolate [tex]\( m \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by [tex]\( a \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Therefore, the correct formula to calculate mass when the force and acceleration are known is:
[tex]\[ m = \frac{F}{a} \][/tex]
Among the given options, the correct formula is:
[tex]\[ m = \frac{F}{a} \][/tex]
