Newton's law of gravitation, Kepler's laws, gravitational potential and energy, escape velocity.
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Q1 · Gravitation · MEDIUM
Approximate escape velocity from Earth's surface (g = 9.8 m/s², R = 6400 km) is:
Q2 · Gravitation · EASY
Orbital speed of a satellite in a circular orbit of radius r around a planet of mass M is:
Q3 · Gravitation · EASY
A satellite is orbiting Earth at a height equal to Earth's radius R above the surface. If the acceleration due to gravity at Earth's surface is g, what is the acceleration due to gravity at the satellite's position?
Q4 · Gravitation · MEDIUM
Two planets A and B have the same average density but their radii are R_A and R_B such that R_A = 2R_B. If the escape velocity from planet B is v, what is the escape velocity from planet A?
Q5 · Gravitation · HARD
A satellite of mass m revolves around a planet of mass M in a circular orbit of radius r. What is the total mechanical energy of the satellite in this orbit?