How is mass related to acceleration?

Acceleration works in variable proportion to mass.
Acceleration has no relationship to mass.
Acceleration works in direct proportion to mass.
Acceleration works in inverse proportion to mass.

1 answer

Acceleration works in inverse proportion to mass. This relationship is described by Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force applied, \( m \) is the mass of the object, and \( a \) is the acceleration produced. Rearranging this equation gives \( a = \frac{F}{m} \), indicating that for a constant force, as mass increases, acceleration decreases, and vice versa. Thus, acceleration is inversely proportional to mass when force is held constant.