Difficulty: Medium

Average Score: 67%

Which statement describes the relationship between mass and acceleration when the net force on an object is kept constant?

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Rationale

Mass and acceleration are inversely proportional when the net force on an object is kept constant.

According to Newton's second law of motion (F = ma), when the net force (F) is constant, an increase in mass (m) results in a decrease in acceleration (a), illustrating their inverse relationship. Thus, if mass increases, acceleration must decrease to maintain the same net force.

A (Mass and acceleration are not correlated.) YOUR ANSWER

This statement is incorrect as mass and acceleration are indeed related through the net force acting on an object. While they may not be directly correlated in a linear fashion, their relationship is defined by Newton's second law, which shows that changing one affects the other when force is constant.

B (Mass and acceleration are quadratically related.) YOUR ANSWER

This choice is inaccurate because the relationship between mass and acceleration is linear and inversely proportional, not quadratic. Quadratic relationships would imply that a change in mass would result in a squared change in acceleration, which is not the case in the context of constant net force.

C (Mass and acceleration are directly proportional.) YOUR ANSWER

This option is also incorrect. Direct proportionality would suggest that if mass increases, acceleration would also increase, which contradicts the inverse relationship described by Newton's second law. Under constant net force, an increase in mass leads to a decrease in acceleration.

D (Mass and acceleration are inversely proportional.) CORRECT

This statement is correct. When the net force is constant, as mass increases, acceleration decreases proportionally, illustrating their inverse relationship. This principle is fundamental to understanding how force, mass, and acceleration interact in physical systems.

Conclusion

The relationship between mass and acceleration, when the net force is constant, is one of inverse proportionality. As mass increases, acceleration must decrease to maintain the same net force, confirming that mass and acceleration are not directly proportional. Understanding this relationship is essential in physics, particularly in applying Newton's second law of motion to various scenarios.

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