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Proportional Reasoning in Physical Systems
Worksheet
Grade Level
Physics
12.7 Proportional Reasoning in Physical Systems
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Two spacecraft are modeled as point masses. If their center-to-center distance changes while the masses stay the same, which relationship best describes gravitational force and distance?
A
spacecraft gravitational force is inversely proportional to center-to-center distance (F_g ∝ 1/r)
B
spacecraft gravitational force is proportional to the square of center-to-center distance (F_g ∝ r²)
C
spacecraft gravitational force is inversely proportional to the square of center-to-center distance (F_g ∝ 1/r²)
D
spacecraft gravitational force is directly proportional to center-to-center distance (F_g ∝ r)
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