The mass m used in the formula for weight, W = mg, refers to passive gravitational mass rather than inertial mass.
Objects accelerate due to imbalanced forces. However, not every item accelerates at the same rate in the presence of the same imbalanced force. A mass quantity called inertial mass determines the body's inertial resistance to acceleration when responding to all types of force.The gravitational force a body experiences while in the gravitational field, or g, is what determines its gravitational mass.
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