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A nut becomes lose and gets detached fro...

A nut becomes lose and gets detached from a satellite revolving around the earth. Will it land on the earth? If yes, where will it land? ? If no how can an astronaut make it land on the earth?

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Take a small stone. Hold it in your hand. We know that the force gravity due to the earth acts on each and every object. When we were holding the stone in our hand, the stone was experiencing this force, but it was balanced by a force that we were applying onn it in the opposite direction. As a result, the stone remained at rest. Once we release the stone from our hands the only force that acts onit is the gravitational force of the earth and the stone falls down under its influence. Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. Thus the released stone is in a free fall. In free fall, the initial velocity of the object is zero and goes on increasing due toi acceleration due to gravity of the earth. During free fall, the frictional force due to air opposes the motion of the object anda buoyant force also acts on the object. Thus, true free fall is posible only in vacuum. For a freely falling object, the velocity on reachign the earth and the time taken for it can be calculated by using Newton's eqwuations of motion. For free fall the initial velocity u=0 and the acceleration a=g . Thus, we can write the equations as v="gt",s=1/2"gt"^(2),v^(2)=2gs For calculating the motion of an object thrown upwards, acceleration is negative, i.e. in a direction opposite ot the velocity and is taken to be -g. The magnitude of g is the same but the velocity of the object decreases due to -ve acceleration. The moon and the artificial satellites are moving only under the influence of the gravitational field of the earth. Thus they are in free fall. Which force acts on the stone when held in the hand?

HC VERMA-GRAVITATION-Question for short Answers
  1. Can two particles be in equilibrium under the action of their mutual g...

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  2. Is there any meaning of Weight of the earth?

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  3. If heavier bodies are attracted more strongly by the earth why don't t...

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  4. Can you think of two particles which do not exert gravitational force ...

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  5. The earth revolves round the sun because the sun attracts the erth. Th...

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  6. At noon, the sun and the earth pull theobjects on the earth's surface ...

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  7. An apple falls from a tree. An insect in the apple finds that the eart...

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  8. Suppose the gravitational portential due to a small system is k/r^2 at...

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  9. The gravitational potential energy of a two particle system is derived...

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  10. The weight of an object is more at the poles than at the equator. Is i...

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  11. The weight of a body at the poles is greater than the weight at the eq...

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  12. If the radius of the earth decreases by 1% without changing its mass, ...

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  13. A nut becomes lose and gets detached from a satellite revolving around...

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  14. Which quantity is zero at the centre of the Earth ?

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  15. Consider earth satellites in circular orbits. A geostationary satellit...

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  16. Is it possible to measure the depth of a well using kinematic equation...

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  17. The moon takes about 27.3 days to revolve around the earth in a nearly...

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  18. Two unequal springs have same material are loaded with same load. Whic...

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  19. "It is dangerous to take drugs without prescription of a doctor at ear...

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