A student collects data during an investigation about inertia and acceleration. If the force acting on the object is constant which statement about inertia and acceleration is supported by the data

1 answer

If the force acting on the object is constant, the relationship between inertia (mass) and acceleration can be described by Newton's second law of motion, which states that \( F = ma \) (where \( F \) is force, \( m \) is mass, and \( a \) is acceleration).

From this, we can derive that:

  1. If the mass (inertia) of the object increases while the force remains constant, the acceleration will decrease. This means that more massive objects will experience less acceleration in response to the same applied force.

  2. Conversely, if the mass decreases and the force remains constant, the acceleration will increase. This means that lighter objects will experience greater acceleration under the same force.

Thus, the supported statement from the data would be: As inertia (mass) increases, acceleration decreases when the applied force is constant. Conversely, as inertia decreases, acceleration increases when the applied force is constant.

This illustrates the inverse relationship between mass and acceleration under a constant force.