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>> $The kinetic energy of a satellite in its$

Question

The kinetic energy of a satellite in its orbit around the earth is $E$ . What should be the minimum kinetic energy of the satellite so as to enable it to escape from the gravitational pull of the earth?

A

$4 E$

B

$2 E$

C

$E$

D

$2 E$

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Updated on : 2022-09-05

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Correct option is B)

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Similar questions

An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the earth's surface. Total energy is always constant at any orbit. (Radius of the earth is $6400 k m$ )
If the satellite is suddenly stopped in its orbit and allowed to fall freely into the earth, find the speed with which it hits the surface of the Earth. ( $V_{e} =$ Escape velocity from the earth's surface)

Two satellites A and B are in the same orbit around the earth, B being behind A. B cannot overtake A by increasing its speed.

It will then into a different orbit.

The potential energy of a satellite of mass $m$ revolving at height $R$ above the surface of the earth where $R =$ radius of earth is

A planet of mass M, has two natural satellites with masses $m_{1}$ and $m_{2}$ . The radii of their circular orbits are $R_{1}$ and $R_{2}$ respectively. Ignore the gravitational force between the satellites. Define $v_{1}, L_{1}, K_{1}$ and $T_{1}$ to be respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite $1$ ; and $v_{2}, L_{2}, K_{2}$ and $T_{2}$ to be the corresponding quantities of satellite $2$ . Given $m_{1} / m_{2} = 2$ and $R_{1} / R_{2} = 1 / 4$ , match the ratios in List - I to the numbers in List-II.

List - I List - II
P. $\frac{v _{1}}{v _{2}}$ 1. $\frac{1}{8}$
Q. $\frac{L _{1}}{L _{2}}$ 2. $1$
R. $\frac{K _{1}}{K _{2}}$ 3. $2$
S. $\frac{T _{1}}{T _{2}}$ 4. $8$

If an earth satellite moves to a lower orbit, there is some dissipation of energy but the satellite speed increases.

The speed of satellite is a constant quantity.

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