Orbital Velocity
A satellite orbits Earth at a height equal to Earth's radius R. What is the orbital velocity? (g = 10 m/s², R = 6.4 × 10⁶ m)
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About This Question
- Subject
- physics
- Chapter
- gravitation
- Topic
- orbital velocity
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
5.66 km/s
- Orbital Speed Formula: vo=rGM, where r is distance from center.
- Distance Calculation: Radius of orbit r=R+h. Since h=R, r=2R.
- Using g at Surface: GM=gR2.
- Substitution:
- vo=2RgR2=2gR.
- Computation:
- vo=210×6.4×106=32×106 m/s.
- vo≈5656 m/s=5.66 km/s.
This medium difficulty physics question is from the chapter gravitation, covering the topic of orbital velocity. It appeared in the 2025 exam.
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