Newton's law of gravitation, gravitational potential, Kepler's laws and orbital mechanics — central to NSEA.
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Q1 · Gravitation · HARD
According to Kepler's third law, if planet A has an orbital period 8 times that of planet B, the ratio of their semi-major axes (a_A/a_B) is:
Q2 · Gravitation · EASY
The escape velocity from Earth's surface is approximately:
Q3 · Gravitation · EASY
The gravitational potential energy of a satellite in orbit is U. Its kinetic energy is:
Q4 · Gravitation · MEDIUM
The radius of a geostationary orbit is approximately: (Given: Earth's mass M = 6 × 10^24 kg, G = 6.67 × 10^-11 N·m²/kg²)
Q5 · Gravitation · MEDIUM
A satellite is orbiting Earth at a height equal to Earth's radius R. Its orbital velocity compared to the orbital velocity at Earth's surface is: