Home
Class 11
PHYSICS
Show that Moon would depart for even if ...

Show that Moon would depart for even if its speed were incresed by `42%`.

Text Solution

Verified by Experts

Moon would depart forever if its orbital velocity `upsilon_(0)` around Earth becomes equal to escape velocity `upsilon_(e)` of Earth.
`%` increase in speed `= (upsilon_(e) - upsilon_(0))/( upsilon_(0)) xx 100`
`= (sqrt(2gR) - sqrt(gR))/(sqrt(g R)) xx 100 ~~ 42%`
Promotional Banner

Topper's Solved these Questions

  • GRAVIATION

    PRADEEP|Exercise VERY SHORT ANS. QUESTIONS II.|1 Videos
  • GRAVIATION

    PRADEEP|Exercise VERY SHORT ANS. QUESTIONS III.|1 Videos
  • GRAVIATION

    PRADEEP|Exercise VERY SHORT ANS. QUESTIONS I.|1 Videos
  • BEHAVIOUR OF PERFECT GAS & KINETIC THEORY

    PRADEEP|Exercise Assertion - Reason Type questions|14 Videos
  • KINEMATICS

    PRADEEP|Exercise 1 NCERT Comprehension|4 Videos

Similar Questions

Explore conceptually related problems

Show that the moon would depart for ever if its speed were increased by 42% .

A car travels from P to Q at a constant speed. If its speed were increased by 7 km/h, it would have taken one hour less to cover the distance. It would have taken 1 hour more if the speed were decreased by 5 km/h. What is the distance between two cities and find the speed of car?

A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have taken one hour less to cover the distance. It would have taken further 45 min lesser if the speed were further increased by 10 km/h. What is the distance between two cities?

The orbital speed of a satellite revolving around a planet in a circular orbit is v_(0) . If its speed is increased by 10 % ,then

When a light enters from medium 1 to 2, its speed increases by 20% and when medium 1 to medium 3, its speed decreases by 20% . Consider the situation in the following figure. Find r.

A rod AB of length l is pivoted at an end A and freely rotated in a horizontal plane at an angular speed omega about a vertical axis passing through A. If coefficient of linear expansion of material of rod is alpha , find the percentage change in its angular velocity if temperature of system is incresed by DeltaT

A solid hemisphere is attached to the top of a cylinder, having the same radius as that of the cylinder. If the height of the cylinder were doubled (keeping both radii fixed), the volume of the entire system would have increased by 50%. By what percentage would the volue have increased if the radii of the hemisphere and the cylinder were doubled (keeping the height fixed)?

PRADEEP-GRAVIATION-VERY SHORT ANS. QUESTIONS
  1. An artifical satellite revolves in the orbit around the Earth without ...

    Text Solution

    |

  2. Can we determine the gravitational mass of a body inside an artificial...

    Text Solution

    |

  3. An artificial satellite is revolving around the Earth at a height 400 ...

    Text Solution

    |

  4. A satellite revolving around Earth loses height. How will its time per...

    Text Solution

    |

  5. Two artificial satellites one close to the surface and the other away,...

    Text Solution

    |

  6. Should the speed of two artificial satellites of the earth having the ...

    Text Solution

    |

  7. Which has longer period of revolution, a satellite revolving close or ...

    Text Solution

    |

  8. The astronauts in a satellite orbiting the Earth feel weightlessness. ...

    Text Solution

    |

  9. What is the sense of roatation of stationary satellite around the Eart...

    Text Solution

    |

  10. Assertion: The time period of geostationary satellite is 24 hrs. Rea...

    Text Solution

    |

  11. If a satellites is revolving close to a planet of density rho with per...

    Text Solution

    |

  12. Two satellites A and B are orbiting around the earth in ciruclar orbit...

    Text Solution

    |

  13. If the Earth's satellite is put into an orbit at a height where resist...

    Text Solution

    |

  14. Does a rocket really need the escape speed of 11.2 km//s initially to ...

    Text Solution

    |

  15. For a satellite, escape speed is 11 km s^(-1). If the satellite is lau...

    Text Solution

    |

  16. What is the escape velocity of the object, if.the magnitude of the pot...

    Text Solution

    |

  17. Show that Moon would depart for even if its speed were incresed by 42%...

    Text Solution

    |

  18. A satellite of small mass burns during its descent and not during asce...

    Text Solution

    |

  19. Assertion: A person sitting in an artificial satellite revolving aroun...

    Text Solution

    |

  20. Lighter gases like H2, He, etc. are rare in the atmosphere of the eart...

    Text Solution

    |