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The acceleration due to gravity at a hil...

The acceleration due to gravity at a hill station is less by 0.05% with respect to that at sea level. What is the height of that hill station? The radius of the earth =6400 km.

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The correct Answer is:
1600 m
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The acceleration due to gravity at two places are g and g^' respectively. A body is dropped from the same height at both places. At the second place, the required time to touch the ground is t seconds less than that in the first place, while the velocity attained in reaching the ground is higher by a value of v than that in the first place. Show that gg^'=(v^2)/(t^2) .

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CHHAYA PUBLICATION-NEWTONIAN GRAVITATION AND PLANETARY MOTION-PROBLEM SET -II
  1. Assume that the earth is a uniform sphere of radius R. If the acceler...

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  2. Assume that the earth is a uniform sphere of radius R. If the acceler...

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  3. The acceleration due to gravity at a hill station is less by 0.05% wi...

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  4. If the span of a day on the earth would have been 6 days, what would b...

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  5. A body of mass m is raised to a height h from a point on the surface o...

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  6. How much below the surface of earth does acceleration due to gravity b...

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  7. The ratio of the mass of the moon to that of the earth is 1:81. If th...

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

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  9. A rocket starts vertically upward with speed v0. Show that its speed...

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  10. A body is projected vertically upwards from the surface of earth with ...

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  11. The moon revolves around the earth once in 271/3 days. If the average ...

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  12. A satellite is revolving around the earth at an altitude of 700 km. De...

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  13. The radius of the earth = R. if a geostationary satellite is revolving...

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  14. An artificial satellite circled around the earth at a distance of 340...

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  15. An artificial satellite is moving in a circular orbit around the earth...

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  16. An artificial satellite is moving in a circular orbit around the earth...

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  17. The mass and the radius of the moon are 1/(80)th and 1/4 th respective...

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  18. The radius of the planet jupiter is 71000 km and the escape velocity ...

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  19. A body of mass m is raised from the surface of the earth up to a heigh...

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  20. Two stars each of one solar mass (=2xx10^(30)kg) are approaching each ...

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