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A spaceship is launced into a circular o...

A spaceship is launced into a circular orbit close to the earth's aurface . What additional velocity has now to be imparted to the spaceship in the orbit to overcome the gravitational pull. Radius of earth `= 6400 km`, `g = 9.8m//s^(2)`.

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The speed of the spaceship in a circular orbit close to the earth's surface is given by ,
`nu_(0) = sqrt(gR)`
and escape velocity is given by, `nu_(e) = sqrt(2gR)`
`:.` Additional velocity of required to escape
` nu_(e) - nu_(0) = sqrt (2gR)-sqrt(gR) = (sqrt2-1) sqrt (gR)`
Substituting the values of g and R, We get `nu_(e) -nu_(o) = 3.278 xx 10^(3) m//s`.
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DC PANDEY-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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  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) each move in a circle of radius (r) un...

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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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  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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