How are force, mass, and acceleration related to each other mathematically?

Use the equation to explain the relationship.



Answer :

Final answer:

Force, mass, and acceleration are related through Newton's second law of motion, stating that force equals mass times acceleration, showing direct and inverse proportionality between these quantities.


Explanation:

Force, mass, and acceleration are mathematically related through Newton's second law of motion, which states that force (F) equals mass (m) times acceleration (a): F = ma.

This equation shows that the acceleration of an object is directly proportional to the force acting on it and inversely proportional to its mass. Therefore, if the force on an object increases, its acceleration will also increase, but if its mass increases, its acceleration will decrease.

For example, a car with greater mass will accelerate less readily when pushed compared to a bicycle with less mass, demonstrating the relationship between force, mass, and acceleration.


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