What is the relationship between acceleration and mass when force is constant?

When we consider Newton's second law of motion, which states that force is equal to mass times acceleration (F = ma), we can analyze the relationship between acceleration and mass when force is held constant.

In this scenario, if the force remains unchanged, any increase in mass will result in a decrease in acceleration. This indicates that acceleration is inversely proportional to mass. For example, if you double the mass while keeping the force constant, the acceleration will be halved. This relationship illustrates that as mass increases, the amount of acceleration produced by that constant force decreases.

Therefore, when force is constant, acceleration and mass exhibit an inverse relationship, meaning that as mass increases, acceleration decreases, thereby confirming that they are inversely proportional.