Force is directly proportional to mass provided the acceleration is constant.
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directly proportional because force=(mass)(acceleration) (f=ma)
Example of inverse proportion is: Density = Mass/Volume Because the formula represents that the density is directly proportional to the mass while density is inversely proportional to volume. Remember that inversely proportional means that if variable A increases, the variable B decreases, and if variable B increases, the variable A decreases.
Directly proportional
Yes. The equation that relates force to acceleration is very simple:F = M A ,orA = F / M .The acceleration is directly proportional to the force, and if the force doesn't change,then the acceleration doesn't change. (' M ' is the mass of the thing that's being'forced' to accelerate.)So constant force produces constant acceleration, and is the only way to do it.
Inertia and acceleration both relate to Newton's laws. Acceleration is mentioned in his second law. This law states that acceleration is directly proportional to force and inversely proportional to mass. Inertia on the other hand is the subject of Newton's first law. It states that an object at rest will remain at rest until acted upon by an unbalanced force. In the same manner, and object in motion will remain in motion until acted upon by an unbalanced force. A definition of acceleration: The increase of velocity over a certain time span, usually written as meters/second^2. A definition of inertia: The desire of an object to remain at a constant velocity, or the resistance to acceleration.