Question
Download Solution PDFFor a satellite orbiting in an orbit, close to the surface of earth, to escape, the percentage increase in the velocity is ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
To escape Earth's gravity, a satellite in low Earth orbit must increase its velocity from orbital velocity (vo) to escape velocity (ve).
Formulae:
- Orbital velocity (vo) = √(GM / R)
- Escape velocity (ve) = √(2GM / R)
So, ve = √2 × vo
Percentage increase in velocity = [(ve - vo) / vo] × 100%
= [(√2 × vo - vo) / vo] × 100%
= (√2 - 1) × 100%
≈ (1.414 - 1) × 100% = 0.414 × 100% = 41.4%
Answer: Option 1) 41%
Last updated on Jun 6, 2025
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