List of top Physics Questions on Earth Satellites

A satellite of mass $1000\text{ kg}$ is revolving around the earth at height equal to $\frac{R}{4}$. Then the energy to be given to the satellite to revolve around the earth at height $\frac{R}{2}$ is (Acceleration due to gravity $10\text{ m s}^{-2}$, Radius of the earth $R = 6400\text{ km}$):

Work required to shift an artificial satellite from an orbit of radius \(r\) to an orbit of radius \(2r\) is

If a body is thrown vertically upwards from the surface of the earth with a speed equal to 75% of the escape speed from the surface of the earth, then the ratio of the maximum height reached by the body and the radius of the earth is:

If a body is thrown vertically upwards from a height of 0.5 R (R is the radius of the earth) with a velocity equal to the escape velocity of a body from the surface of the earth, then the velocity of the body when it escapes from the gravitational influence of the earth is: (g is the acceleration due to gravity on the surface of the earth)

A rocket is fired vertically from the surface of the earth with quarter the escape speed. If R is radius of the earth, the maximum altitude reached by the rocket is:

A 1200 kg artificial satellite is in an orbit of radius $2R_{E}$ about the earth. The energy required to transfer it to an orbit of radius $3R_{E}$ is ($g=10\text{ms}^{-2}$, $R_{E}=6400 \text{ km}$)

The acceleration due to gravity at a height $h$ above the Earth's surface is the same as that at a depth $d$ below the surface. If both $h$ and $d$ are much smaller than the radius of Earth $R$, then the relation between $h$ and $d$ is:

A satellite is orbiting extremely close to the surface of a planet of average density $\rho$. The time period of revolution of the satellite depends only on $\rho$ as:

The escape speed of an object on the surface of the Earth is \(V\). If the object is thrown out with speed \(4V\) from the surface of the Earth, find the speed of the object far away from the Earth.

If the earth suddenly shrinks to \(\dfrac{1}{64}\) of its original volume, while keeping the same mass, then the duration of the day will be:
[Assume earth is a perfect sphere]

There is a planet which is \(8\) times massive and \(27\) times denser than the earth. If \(g'\) and \(g\) are the accelerations due to gravity on the surfaces of the planet and the earth respectively, then:

A satellite is orbiting the earth. If its orbital radius is reduced to half of its initial value, then the change in its total energy is

The orbital period of a geostationary satellite is

Statement (A): Two artificial satellites revolving in the same circular orbit have same period of revolution.
Statement (B): The orbital velocity is inversely proportional to the square root of radius of the orbit.
Statement (C): The escape velocity of the body is independent of the altitude of the point of projection.