Gravitation & SHM
Orbits, Kepler's laws, gravitational potential, oscillations, springs, pendulums.
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Take a full mock →Q1 · Gravitation & SHM · MEDIUM
A satellite is revolving in a circular orbit of radius 2R around a planet of radius R and mean density ρ. If the satellite is to escape the gravitational field of the planet, the minimum percentage increase in its speed is:
Q2 · Gravitation & SHM · MEDIUM
A satellite is orbiting Earth in a circular orbit of radius 2R, where R is Earth's radius. If the satellite is to be transferred to a circular orbit of radius 4R, the ratio of the orbital speeds in the initial and final orbits is:
Q3 · Gravitation & SHM · MEDIUM
A satellite is in a circular orbit of radius 2R around Earth (radius R). The minimum energy required to transfer it to an orbit of radius 4R is (where M is Earth's mass):
Q4 · Gravitation & SHM · MEDIUM
A satellite of mass m orbits a planet of mass M at radius r with period T. If another satellite of mass 2m orbits the same planet at radius 2r, its orbital period will be:
Q5 · Gravitation & SHM · EASY
A satellite revolves around Earth in a circular orbit at a height equal to the radius of Earth (R). If the orbital speed is v, what will be the escape velocity from that orbit?