If the net force of a system is a non zero constant and the mass increases what must be true about the acceleration
If the net force of a system is a non-zero constant and the mass increases, then the acceleration must decrease. This is because the relationship between force, mass, and acceleration is given by Newton's second law of motion:
F = ma
Where F is the net force, m is the mass, and a is the acceleration. Rearranging this equation, we can see that the acceleration is inversely proportional to the mass:
a = F/m
Therefore, if the net force is constant and the mass increases, the acceleration will decrease.
If the net force of a system is a non-zero constant and the mass of the system increases, then the acceleration of the system must decrease.
This is described by 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. Mathematically, this can be represented as:
acceleration = net force / mass
When the net force is constant and the mass increases, the acceleration will decrease because the mass in the denominator becomes larger. Conversely, if the mass decreases while the net force remains constant, the acceleration will increase.
To determine the relationship between net force, mass, and acceleration, we can use Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this relationship can be expressed as:
F = m * a
Where:
F = Net force
m = Mass
a = Acceleration
If the net force of a system is a non-zero constant and the mass increases, we can consider the equation. Since the net force is constant, we'll use "F" to represent it. Let's assume the initial mass is m1, and after it increases, it becomes m2. Since the net force and acceleration remain constant, we can write:
F = m1 * a
F = m2 * a
Since the net force (F) is constant, it cancels out in the equations:
m1 * a = m2 * a
Now, if we divide both sides of the equation by "a" (acceleration), we get:
m1 = m2
Therefore, if the net force of a system is a non-zero constant, and the mass increases, the acceleration will remain the same.