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An astronaut inside a small spaceship orbitting around the earth cannot detect gravity. If the space station orbtitting around the earth has a large size, can he hope to detect gravity ?

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Yes, if the size of the spaceship is large enough for him to detect the variation in g, then the can detect gravity.
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MODERN PUBLICATION-GRAVITATION-NCERT FILE (TEXTBOOK EXERCISES)
  1. Answer the following: (a) You can shield a charge from electrical forc...

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  2. An astronaut inside a small spaceship orbitting around the earth canno...

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  3. Answer the following : If you compare the graviational force on the...

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  4. Choose the correct alternative (a)Acceleration due to gravity increa...

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  5. Suppose there existed a planet that went around the sun twice as fast ...

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  6. One of the satellite of jupiter, has an orbital period of 1.769 days a...

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  7. Let us consider that our galaxy consists of 2.5xx10^(11) stars each of...

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  8. Choose the correct alternative : (a) If the zero of the potential en...

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

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  10. A comet orbits the Sun in a highly elliptical orbit. Does the comet ha...

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

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  12. The gravitational intensity at the centre of the drum head defined by ...

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

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

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  15. The mean orbital radius of the Earth around the Sun is 1.5 xx 10^8 km....

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

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

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

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  19. A rocket is fired vertically with a speed of 5 kms^(-1) from the earth...

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

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