This states that acceleration of an object increases by the force applied to it and decreases based on its mass

This statement is a correct representation of Newton's second law of motion. According to Newton's second law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, it can be expressed as:

acceleration = force / mass

So, if the force acting on an object increases, its acceleration will also increase if its mass remains constant. Conversely, if the mass of an object increases, its acceleration will decrease for a given force.

The statement you mentioned describes Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.

Mathematically, this relationship can be expressed as:

F = m * a

Where:
F is the net force applied to the object,
m is the mass of the object, and
a is the acceleration produced by the net force.

From this equation, it can be concluded that if the force applied to an object increases, its acceleration will also increase. Conversely, if the mass of the object increases, its acceleration will decrease for a given force.

The statement you are referring to is known as Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This law can be mathematically represented by the equation:

F = m * a

Here, F represents the net force applied to the object, m represents the mass of the object, and a represents the acceleration.

To understand how this equation relates to the increase or decrease in acceleration, we need to consider the following:

1. Force: Force is a vector quantity that represents the push or pull applied to an object. When a force is applied to an object, it tends to cause a change in the object's state of motion.

2. Mass: Mass is a scalar quantity that represents the amount of matter in an object. It is a measure of the object's resistance to acceleration or change in motion. Objects with greater mass require more force to achieve the same acceleration as objects with lesser mass.

Now, let's consider two scenarios:

1. Increasing the force: If the force applied to an object increases while its mass remains constant, according to Newton's second law, the acceleration of the object will also increase. This means that the object will experience a greater change in its velocity per unit of time.

2. Increasing the mass: If the mass of an object increases while the force applied to it remains constant, according to the second law, the acceleration of the object will decrease. This implies that a greater force is required to achieve the same acceleration as before, due to the increased resistance to motion caused by the increased mass.

In summary, Newton's second law of motion tells us that the acceleration of an object increases when the force applied to it increases and decreases when the mass of the object increases.