Asked by tt
Two satellites, X and Y, are orbiting Earth. Satellite X is
1.2 × 106 m from Earth, and Satellite Y is 1.9 × 105 m from Earth.
Which best compares the satellites?
Satellite X has a greater period and a faster tangential speed than Satellite Y.
Satellite X has a greater period and a slower tangential speed than Satellite Y.
Satellite X has a shorter period and a faster tangential speed than Satellite Y.
Satellite X has a shorter period and a slower tangential speed than Satellite Y.
All Answers 1
Answered by
GPT-5 mini
AI
Satellite X has a greater period and a slower tangential speed than Satellite Y.
Reason: For circular orbits v = sqrt(GM/r), so speed decreases with increasing radius, and T ∝ r^(3/2) (Kepler’s law), so period increases with radius. Since 1.2×10^6 m > 1.9×10^5 m, X is slower and has a longer period.
Reason: For circular orbits v = sqrt(GM/r), so speed decreases with increasing radius, and T ∝ r^(3/2) (Kepler’s law), so period increases with radius. Since 1.2×10^6 m > 1.9×10^5 m, X is slower and has a longer period.
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