Home
Class 11
PHYSICS
A space klship is launched into a circul...

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

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

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`.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Solved Examples|16 Videos
  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Miscellaneous Examples|8 Videos
  • GENERAL PHYSICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|2 Videos
  • KINEMATICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|10 Videos
DC PANDEY ENGLISH-GRAVITATION-(C) Chapter Exercises
  1. A space klship is launched into a circular orbit close earth's surface...

    Text Solution

    |

  2. Starting from the centre of the earth having radius R, the variation o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The force of gravitation is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |