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 = ma
where:
* F is the net force (in Newtons, N)
* m is the mass of the object (in kilograms, kg)
* a is the acceleration of the object (in meters per second squared, m/s²)
Here's a breakdown of the relationship:
* Direct Proportionality: If the net force acting on an object increases, its acceleration will increase proportionally. For example, if you double the force on an object, you'll double its acceleration.
* Inverse Proportionality: If the mass of an object increases, its acceleration will decrease proportionally. This means if you double the mass of an object, its acceleration will be halved with the same net force applied.
Key Points:
* Net Force: It's important to remember that the acceleration is caused by the *net* force, which is the vector sum of all forces acting on the object.
* Vector Quantity: Both force and acceleration are vector quantities, meaning they have both magnitude and direction. The direction of the acceleration will be the same as the direction of the net force.
Example:
Imagine pushing a box across a floor. The harder you push (greater force), the faster the box accelerates. If you push the same box with the same force but it's filled with heavy books (greater mass), it will accelerate more slowly.
