What is the Effect of Mass on Earth's Angular Velocity?

AI Thread Summary
An increase in mass would lead to a greater inertia for Earth, which could result in a decrease in its angular velocity. The relationship between velocity and angular velocity suggests that as inertia increases, both would decrease. The Earth maintains its orbit, as described by Kepler's third law, which connects the distance from the Sun to the orbital period. Therefore, while mass affects inertia, it does not alter the Earth's orbital path. The discussion emphasizes the interplay between mass, inertia, and angular velocity in the context of Earth's motion.
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The attempt at a solution
I think the answer is (b) because an increase in mass would cause an increase in inertia of Earth. This would decrease the velocity of Earth, and since velocity is proportional to angular velocity, both would decrease. Am I right?
 
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The Earth stays on the same orbit. Think of Kepler's third law about the relation between distance from Sun and orbital period.

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