Yes, the acceleration of an object increases as the force applied on it increases, assuming the mass of the object remains constant. This is directly described by Newton's Second Law of Motion:

F = m * a

Where:

* F is the net force acting on the object

* m is the mass of the object

* a is the acceleration of the object

This equation tells us that:

* Acceleration is directly proportional to the force: If you double the force, you double the acceleration.

* Acceleration is inversely proportional to the mass: If you double the mass, you halve the acceleration.

In simpler terms:

Think of pushing a shopping cart. If you push harder (more force), the cart will move faster (more acceleration). If the cart is empty (less mass), it will accelerate even faster with the same force.

Important Note: This relationship holds true only when the mass of the object remains constant. If the mass of the object changes, the acceleration will be affected accordingly.