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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Draw a labelled diagram to show different trajectories of a satellite depending upon the tangential projection speed.

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प्रश्न

Draw a labelled diagram to show different trajectories of a satellite depending upon the tangential projection speed.

आकृती
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उत्तर

vh = horizontal speed of projection
vc = critical velocity
ve = escape velocity

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पाठ 5: Gravitation - Exercises [पृष्ठ ९८]

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

संबंधित प्रश्‍न

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?


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?


What is the true weight of an object in a geostationary satellite that weighed exactly 10.0 N at the north pole?


The radius of a planet is R1 and a satellite revolves round it in a circle of radius R2. The time period of revolution is T. Find the acceleration due to the gravitation of the planet at its surface.


Answer the following question.

Define the binding energy of a satellite.


Answer the following question.

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


Answer the following question in detail.

What is a critical velocity?


Calculate the kinetic energy, potential energy, total energy and binding energy of an artificial satellite of mass 2000 kg orbiting at a height of 3600 km above the surface of the Earth.
Given: G = 6.67 × 10-11 Nm2/kg2
R = 6400 km, M = 6 × 1024 kg


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.


Solve the following problem.

What is the gravitational potential due to the Earth at a point which is at a height of 2RE above the surface of the Earth?
(Mass of the Earth is 6 × 1024 kg, radius of the Earth = 6400 km and G = 6.67 × 10–11 N m2 kg–2)


Two satellites of a planet have periods of 32 days and 256 days. If the radius of the orbit of the former is R, the orbital radius of the Latter is ______


Which of the following statements is CORRECT in respect of a geostationary satellite?


The kinetic energy of a revolving satellite (mass m) at a height equal to thrice the radius of the earth (R) is ______.


There is no atmosphere on moon because ____________.


What is the minimum energy required to launch a satellite of mass 'm' from the surface of the earth of mass 'M' and radius 'R' at an altitude 2R?


If a body weighing 40 kg is taken inside the earth to a depth to radius of the earth, then `1/8`th the weight of the body at that point is ______.


Reason of weightlessness in a satellite is ____________.


If the Earth-Sun distance is held constant and the mass of the Sun is doubled, then the period of revolution of the earth around the Sun will change to ____________.


Two satellites of masses m and 4m orbit the earth in circular orbits of radii 8r and r respectively. The ratio of their orbital speeds is ____________.


Out of following, the only correct statement about satellites is ____________.


In the case of earth, mean radius is 'R', acceleration due to gravity on the surface is 'g', angular speed about its own axis is 'ω'. What will be the radius of the orbit of a geostationary satellite?


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 ______.


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.

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. If the satellite is stopped in its orbit and allowed to fall freely onto the earth, the speed with which it hits the surface ______ km/s.

[g = 9.8 ms-2 and Re = 6400 km]


The ratio of binding energy of a satellite at rest on earth's surface to the binding energy of a satellite of same mass revolving around the earth at a height h above the earth's surface is ______ (R = radius of the earth).


Which application is mainly associated with polar satellites?


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