Difficulty: Hard

Average Score: 38%

Use this information to answer the question A Mass (5.0g) Time of fall ( 2.0 sec). B mass( 5.0g) Time of fall (1.0sec) C mass (30.0g) Time of fall (0.5sec) D mass ( 35.0g ) Time of fall (1.5sec)

Which of the following is supported by the following data?

Diagram for question

Rationale

The time of fall is independent of the mass of the object.

According to the data provided, all objects are subject to the same gravitational acceleration, which means that their time of fall does not depend on their mass. This principle aligns with the concept that in the absence of air resistance, all objects fall at the same rate regardless of their mass.

A (Objects A and B will fall at the same rate.) YOUR ANSWER

While A and B have the same mass and different times of fall, they do not fall at the same rate. Object A takes 2.0 seconds to fall, while object B takes only 1.0 second, indicating a difference in their falling rates.

B (Air resistance is greater for A than for B.) YOUR ANSWER

This statement cannot be determined solely from the data provided. While Object A takes longer to fall, this could be due to factors other than air resistance, such as how they are released or environmental conditions. Therefore, we cannot conclude that air resistance is greater for A.

C (The time of fall is independent of the mass of the object.) CORRECT

This statement is supported by the data, as it shows that time of fall varies independently of mass when objects are in free fall under uniform gravitational conditions. The different times for objects of the same mass demonstrate that mass does not affect the time of fall.

D (The greater the mass of an object, the faster it will fall.) YOUR ANSWER

This option is incorrect as it implies a direct relationship between mass and falling speed. The data shows that even with different masses (in the case of Objects C and D), the time of fall does not consistently correlate with mass, as demonstrated by the varying times of fall.

Conclusion

The data supports the conclusion that the time of fall is independent of the mass of the object, affirming classical physics principles. Objects of different masses fall at the same rate under ideal conditions, demonstrating that factors such as air resistance or release conditions can affect fall time, but mass alone does not dictate it.

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