Newton's second law of motion defines the relationship between an object's mass, the force applied to it, and its acceleration. Specifically, it states that the force (F) acting on an object is equal to the mass (m) of that object multiplied by its acceleration (a). This can be mathematically expressed as:
[tex]\[ F = m \cdot a \][/tex]
Let's go through each of the given options to determine which one correctly represents Newton's second law.
A. [tex]\( m= \)[/tex]
This option seems incomplete and does not provide a complete equation. Therefore, it does not describe Newton's second law.
B. [tex]\( m = FR \)[/tex]
This option is incorrect because it does not match the standard form of Newton's second law. There is no common designation or physical quantity represented this way in Newton's second law.
C. [tex]\( F = m \cdot a \)[/tex]
This option correctly states the relationship described by Newton's second law, where the force (F) is the product of mass (m) and acceleration (a).
D. [tex]\( F = a \cdot 3 \)[/tex]
This option does not correctly represent Newton's second law. It suggests that the force equals three times the acceleration, which does not consider the object's mass.
Among the given options, the correct equation that describes Newton's second law is:
C. [tex]\( F = m \cdot a \)[/tex]
