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If spining speed of the earth is decreas...

If spining speed of the earth is decreased , then weight of the body at the poles

A

Does not change

B

Decreases

C

Increases

D

May increases or decreases

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The correct Answer is:
A
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Weight of a body depends directly upon acceleration due to gravity g . Value of g depends upon many factors. It depends upon the shape of earth, rotation earth etc. Weight of a body at a pole is more then that at a place on equator because g is maximum at poles and minimum on equator. Acceleration due to gravity g varies with latitude lambda as per relation given below : g_(rot)=g-Romega^(2)cos^(2)lambda where R is radius of earth and omega is angular velocity of earth. A body of mass m weighs W_(r ) in a train at rest. The train then begins to run with a velocity v around the equator from west to east. It observed that weight W_(m) of the same body in the moving train is different from W_(r ) . Let v_(e ) be the velocity of a point on equator with respect to axis of rotation of earth and R be the radius of the earth. Clearly the relative between earth and trainwill affect the weight of the body. Difference between Weight W_(r ) and the gravitational attraction on the body can be given as

Assertion : If the earth stops rotating about its axis, the value of the weight of the body at equator will decrease. Reason : The centripetal force does not act on the body at the equator.

The distances from the centre of the earth, where the weight of a body is zero and one-fourth that of the weight of the body on the surface of the earth are (assume R is the radius of the earth)

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AAKASH INSTITUTE ENGLISH-GRAVITATION -EXERCISE
  1. A body weighs 144 N at the surface of earth. When it is taken to a hei...

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  2. If masses of two point objects are tripled and distance between them i...

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  3. If G is universal gravitational constant and g is acceleration due to ...

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  4. What is the weight of a 70 kg body on the surface of a planet mass is ...

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  5. If spining speed of the earth is decreased , then weight of the body a...

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  6. If radius of earth contracted by 0.1% , its mass remaining same then w...

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  7. If mass of earth decreases by 25% and its radius increases by 50% , th...

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  8. Two point objects of mass 2x and 3x are separated by a distance r. kee...

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  9. Acceleration due to gravity at surface of a planet is equal to that at...

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  10. Weight of a body decreases by 1.5% , when it is raised to a height h a...

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  11. Let escape velocity od a body a kept surface of a planet is u , ...

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  12. If an artificial satellite is moving in a circular orbit around earth ...

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  13. A satellite of mass 200 kg revolves around of mass 5 xx 10^(30) ...

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  14. Two satellites A and B go around a planet in circular orbits of radii ...

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  15. Calculate the escape speed of an atmospheric particle which is...

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  16. A satellite is revolving around earth in a circular orbit at a unifo...

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  17. Mark the correct statement (i) Escape velocity does not depend on...

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