1. Force (F):
* Directly proportional: The greater the force applied to an object, the greater its acceleration. This means if you double the force, you double the acceleration.
* Relationship: This relationship is described by Newton's Second Law of Motion: F = ma, where 'm' is the mass of the object. This equation tells us that force equals mass times acceleration.
2. Mass (m):
* Inversely proportional: The greater the mass of an object, the smaller its acceleration for a given force. This means if you double the mass, you halve the acceleration.
* Relationship: Again, this relationship is described by Newton's Second Law of Motion: F = ma. This equation shows that for a constant force, acceleration is inversely proportional to mass.
In summary:
* Greater force, greater acceleration.
* Greater mass, smaller acceleration.
Important Considerations:
* Direction: Acceleration is a vector quantity, meaning it has both magnitude (how much) and direction. The direction of acceleration is always in the same direction as the net force acting on the object.
* Net Force: The acceleration of an object is determined by the *net force* acting on it, which is the vector sum of all individual forces. If multiple forces act on an object, the net force determines its acceleration.
Example:
Imagine pushing a shopping cart. If you push harder (greater force), the cart will accelerate faster. If the cart is full of groceries (greater mass), it will accelerate slower for the same force you apply.
