26
QuizMultiple Choice

N/A — Exam

Question 26 • Physics

Rosalinda wants to calculate the mass of Earth using Kepler’s laws or Newton’s universal law of gravitation.Which data would allow her to find the mass of Earth?

Answer
A
Earth’s orbital period and distance from the Sun
B
the moon’s orbital period and distance from Earth
C
the mass of the Sun and the orbital period of the moon
D
Earth’s distance from the Sun and the moon’s orbital period

Explanation

For an object orbiting Earth, Newton’s version of Kepler’s third law relates Earth’s mass to the moon’s orbital period and its average distance from Earth: M = 4π²r³/(GT²). So Rosalinda needs both the moon’s orbital period and its distance from Earth. The Sun’s mass and Earth’s orbit describe Earth’s motion around the Sun, not the moon’s orbit around Earth.

AI-written and checked against the verified answer.

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