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The mass of the earth is 6xx10^(24) kg a...

The mass of the earth is `6xx10^(24)` kg and that of the moon is `7.4xx10^(22) kg`. The potential energy of the system is `-7.79xx10^(28)J`. The mean distance between the earth and moon is
(G`=6.67xx10^(-11) Nm^(2)kg^(-2)`)

Text Solution

Verified by Experts

Potential energy of the earth and moon system is
`U=(-GMm)/(r)`
`rArr r=(-GMm)/(U)=(-6.67xx10^(-11)xx6xx10^(24)xx7.4xx10^(22))/(-7.79xx10^(28))`
`rArr r = 3.8 xx 10^(8)`m
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DC PANDEY ENGLISH-GRAVITATION-(C) Chapter Exercises
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  2. Starting from the centre of the earth having radius R, the variation o...

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  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

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  4. At what height from the surface of earth the gravitation potential and...

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  5. The ratio of escape velocity at earth (V(e)) to the escape velocity at...

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  6. Kepler's third law states that square of period of revolution (T) of a...

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  7. The reading of a spring balance corresponds to 100 N while situated at...

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  8. The gravitational field due to an uniform solid sphere of mass M and r...

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  9. What would be the value of acceleration due to gravity at a point 5 km...

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  10. Two particles of equal mass m go round a circle of radius R under the ...

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  11. What would be the escape velocity from the moon, it the mass of the mo...

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  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

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  13. Orbital velocity of an artificial satellite does not depend upon

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  14. Gravitational potential energy of body of mass m at a height of h abov...

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  15. According to Kepler's law of planetary motion, if T represents time pe...

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  16. If mass of a body is M on the earth surface, then the mass of the same...

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  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

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  18. The force of gravitation is

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  19. Dependence of intensity of gravitational field (E) of earth with dista...

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  20. Keeping the mass of the earth as constant, if its radius is reduced to...

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  21. A body of mass m is raised to a height 10 R from the surface of the ea...

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