The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
This can be expressed mathematically as:
F = m * a
Where:
* F is the net force acting on the object (measured in Newtons, N)
* m is the mass of the object (measured in kilograms, kg)
* a is the acceleration of the object (measured in meters per second squared, m/s²)
Here's how the relationship plays out:
* Direct Proportionality to Force: If you increase the net force acting on an object, its acceleration will increase proportionally. For example, if you double the force, you double the acceleration.
* Inverse Proportionality to Mass: If you increase the mass of an object while keeping the force constant, its acceleration will decrease. This means a heavier object will accelerate slower than a lighter object under the same force.
In essence, Newton's Second Law tells us that a larger force is needed to accelerate a larger mass, and that a given force will produce a larger acceleration on a smaller mass.
Let me know if you'd like some examples or further explanation!