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Answer the following question in detail. What is a critical velocity?

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प्रश्न

Answer the following question in detail.

What is a critical velocity?

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उत्तर

The exact horizontal velocity of projection that must be given to a satellite at a certain height so that it can revolve in a circular orbit round the Earth is called the critical velocity or orbital velocity (vc).

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अध्याय 5: Gravitation - Exercises [पृष्ठ ९८]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
अध्याय 5 Gravitation
Exercises | Q 3. (xv) | पृष्ठ ९८

संबंधित प्रश्न

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No part of India is situated on the equator. Is it possible to have a geostationary satellite which always remains over New Delhi?


As the earth rotates about its axis, a person living in his house at the equator goes in a circular orbit of radius equal to the radius of the earth. Why does he/she not feel weightless as a satellite passenger does?


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At what rate should the earth rotate so that the apparent g at the equator becomes zero? What will be the length of the day in this situation?


A pendulum having a bob of mass m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is T0. (a) Find the speed of the ship due to rotation of the earth about its axis. (b) Find the difference between T0 and the earth's attraction on the bob. (c) If the ship sails at speed v, what is the tension in the string? Angular speed of earth's rotation is ω and radius of the earth is R.


A satellite of mass 1000 kg is supposed to orbit the earth at a height of 2000 km above the earth's surface. Find (a) its speed in the orbit, (b) is kinetic energy, (c) the potential energy of the earth-satellite system and (d) its time period. Mass of the earth = 6 × 1024kg.


Answer the following question.

What do you mean by geostationary satellite?


Answer the following question.

What is periodic time of a geostationary satellite?


Answer the following question.

Why is a minimum two-stage rocket necessary for launching of a satellite?


Answer the following question in detail.

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Answer the following question in detail.

Obtain an expression for the binding energy of a satellite revolving around the Earth at a certain altitude.


Answer the following question in detail.

Obtain an expression for the critical velocity of an orbiting satellite. On what factors does it depend?


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Solve the following problem.

Calculate the speed of a satellite in an orbit at a height of 1000 km from the Earth’s surface.
(ME = 5.98 × 1024 kg, R = 6.4 × 106 m)


A planet has mass 6.4 × 1024 kg and radius 3.4 × 106 m. Calculate the energy required to remove an object of mass 800 kg from the surface of the planet to infinity.


Solve the following problem.

Calculate the value of the universal gravitational constant from the given data. Mass of the Earth = 6 × 1024 kg, Radius of the Earth = 6400 km, and the acceleration due to gravity on the surface = 9.8 m/s2.


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A satellite is to revolve round the earth in a circle of radius 9600 km. The speed with which this satellite be projected into an orbit, will be ______.


A satellite is revolving in a circular orbit around the earth has total energy 'E'. Its potential energy in that orbit is ______.


A geostationary satellite is orbiting the earth at a height 6R above the surface of the earth, where R is the radius of the earth. This time period of another satellite at a height (2.5 R) from the surface of the earth is ______.


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Show the nature of the following graph for a satellite orbiting the earth. 

  1. KE vs orbital radius R
  2. PE vs orbital radius R
  3. TE vs orbital radius R.

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