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A satellite orbits the earth at a height...

A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth's gravitational influence? Mass of the satellite = 200 kg, mass of the earth `= 6.0xx 10^(24)` kg, radius of the earth `= 6.4 xx 10^(6) m, G = 6.67 xx 10^(-11) Nm^(2) kg^( 2)`  

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`5.9 xx 10^(9)` J
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A satellite orbits the earth at a height of 400 km, above the surface. How much energy must be expended to rocket the satellite out of the earth's gravitational influence ? Mass of the satellite=200 kg, mass of the earth= 6.0xx10^(24) kg, radius of the earth= 6.4xx10(6) m, G= 6.67xx10^(-11)Nm^(2)Kg^(-2) .

A rocket is fired vertically with a speed of 5 km s^(-1) from the earth’s surface. How far from the earth does the rocket go before returning to the earth ? Mass of the earth = 6.0 × 10^(24) kg, mean radius of the earth = 6.4 xx 10^(6) m , G = 6.67 xx 10^(-11) " N "m^(2) kg^(-2) .

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A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system ? Mass of the space ship = 1000 kg, mass of the sun = 2 xx 10^(30) kg , mass of mars = 6.4 xx 10^(23) kg, radius of mars = 3395 Km: radius of the orbit of mars = 2.28 xx 10^(8) km , G = 6.67 xx 10^(-11) N m^(2) kg^(-2) .

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A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, where R is the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of the earth is …… hours.

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NCERT GUJARATI-GRAVITATION-EXERCISES
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  2. The formula –G Mm(1//r(2) – 1//r(1)) is more/less accurate than the f...

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  3. Suppose there existed a planet that went around the Sun twice as fast ...

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  4. Let us assume that our galaxy consists of 2.5 x× 10^(11) stars each of...

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  5. If the zero of potential energy is at infinity, the total energy of an...

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  6. The energy required to launch an orbiting satellite out of earth’s gra...

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  7. Does the escape speed of a body from the earth depend on (a) the mass ...

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  8. A comet orbits the sun in a highly elliptical orbit. Does the comet ha...

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  9. Which of the following symptoms is likely to afflict an astronaut in s...

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  10. For the above problem, the direction of the gravitational intensity at...

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  11. A rocket is fired from the earth towards the sun. At what distance fro...

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  12. How will you ‘weigh the sun’, that is estimate its mass? The mean orbi...

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  13. A saturn year is 29.5 times the earth year. How far is the saturn from...

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  14. A body weighs 63 N on the surface of the earth. What is the gravitatio...

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  15. Assuming the earth to be a sphere of uniform mass density, how much wo...

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  16. A rocket is fired vertically with a speed of 5 km s^(-1) from the eart...

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  17. The escape speed of a projectile on the earth’s surface is 11.2 km s^(...

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  18. A satellite orbits the earth at a height of 400 km above the surface. ...

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  19. Two stars each of one solar mass (= 2 xx 10^(30) kg)   are approaching...

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  20. Two heavy spheres each of mass 100 kg and  radius 0.10 m are placed 1....

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