Force and Motion Retest

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Question
A student performs two investigations of force and acceleration. In the first investigation, she pushes objects with different masses using the same amount of force. In the second investigation, the student pushes objects with the same masses using different amounts of force. The results of both investigations are shown. Which claim and argument can the student make using her data?

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Responses

Claim: With a constant mass, the amount of force applied to the objects is proportional to their acceleration. Evidence: As the force on the objects increases, the acceleration of the objects increases.
Claim: With a constant mass, the amount of force applied to the objects is proportional to their acceleration. Evidence: As the force on the objects increases, the acceleration of the objects increases.

Claim: With a constant force, the acceleration of the objects is proportional to the mass of the objects. Evidence: The acceleration of the objects decreases as the masses of the objects decrease.
Claim: With a constant force, the acceleration of the objects is proportional to the mass of the objects. Evidence: The acceleration of the objects decreases as the masses of the objects decrease.

Claim: With a constant force, the acceleration of the objects is proportional to the mass of the objects. Evidence: The acceleration of the objects increases as the masses of the objects increase.
Claim: With a constant force, the acceleration of the objects is proportional to the mass of the objects. Evidence: The acceleration of the objects increases as the masses of the objects increase.

Claim: With a constant mass, the amount of force applied to the objects is proportional to their acceleration. Evidence: As the force on the objects increases, the acceleration of the objects decreases.
Claim: With a constant mass, the amount of force applied to the objects is proportional to their acceleration. Evidence: As the force on the objects increases, the acceleration of the objects decreases.

1 answer

Based on the description of the student's investigations, the correct claim and argument that can be made using her data is:

Claim: With a constant mass, the amount of force applied to the objects is proportional to their acceleration.

Evidence: As the force on the objects increases, the acceleration of the objects increases.

This aligns with Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass (F = ma). In her first investigation, by keeping the mass constant and varying the force, the student demonstrates that an increase in force results in an increase in acceleration.

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