Let's analyze the statements one by one.
First Question: Which statement is NOT true?
A. If gravity is the only force, an object's acceleration is the force of gravity divided by the object's mass.
This statement is true. This is essentially a restatement of Newton's second law, where \( F = m \cdot a \) gives \( a = \frac{F}{m} \).
B. Air resistance is a friction-like force.
This statement is true. Air resistance (or drag) acts against the motion of an object moving through the air, similar to friction.
C. Air resistance depends on the speed of an object.
This statement is true. Air resistance increases with the speed of the object due to factors like friction and pressure changes.
D. The more spread out an object is, the less air resistance it will experience.
This statement is NOT true. Generally, if an object is more spread out (less dense and with a larger cross-sectional area), it may actually experience more air resistance because of the larger surface area moving through air.
Correct Answer:
D. The more spread out an object is, the less air resistance it will experience.
Second Question: What change would most likely require additional force to produce the same results?
A. If the mass of the box was decreased it would require more force.
This statement is NOT true. If the mass decreases, it actually requires less force to achieve the same acceleration.
B. If friction was increased between the box and the surface it would require less force.
This statement is NOT true. Increased friction would require more force to achieve the same acceleration.
C. If the mass of the box was increased it would require more force.
This statement is true. More mass means more force is required to achieve the same acceleration (again, following \( F = m \cdot a \)).
D. If the mass of the box was increased it would require less force.
This statement is NOT true. Increasing the mass requires more force to achieve the same acceleration.
Correct Answer:
C. If the mass of the box was increased it would require more force.