Yes, you are absolutely right! The force exerted on an object is directly proportional to the object's acceleration. This fundamental relationship is described by Newton's Second Law of Motion:

F = ma

Where:

* F is the force applied to 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)

What does this mean?

* Direct Proportionality: This means if you double the force, you double the acceleration. If you triple the force, you triple the acceleration. They change in a linear fashion together.

* Constant Mass: The mass of the object remains constant.

* Vector Quantities: Both force and acceleration are vector quantities, meaning they have both magnitude and direction. The direction of the force is the same as the direction of the acceleration.

Example:

Imagine pushing a shopping cart. The harder you push (more force), the faster it accelerates. If you push twice as hard, the cart will accelerate twice as fast.