Home
Class 11
PHYSICS
A spaceship of mass m0 moves in the abse...

A spaceship of mass `m_0` moves in the absence of external forces with a constant velocity `v_0`. To change the motion direction, a jet engine is switched on. It starts ejecting a gas jet with velocity u which is constant relative to the spaceship and directed at right angles to the spaceship motion. The engine is shut down when the mass of the spaceship decreases to m. Through what angle `alpha` did the motion direction of the spaceship deviate due to the jet engine operation?

Text Solution

Verified by Experts

The correct Answer is:
`"["alpha=(mu)/(v)"ln"(M)/m"]"`
Promotional Banner

Topper's Solved these Questions

  • LINEAR MOMENTUM & ITS CONSERVATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise exercise 1.3|3 Videos
  • LINEAR MOMENTUM & ITS CONSERVATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance McQ|20 Videos
  • KINEMATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Pro.|83 Videos
  • NEWTONS LAWS OF MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problem|81 Videos

Similar Questions

Explore conceptually related problems

Show that in the absence of any external force, the velocity of the centre of mass remains constant.

A relativistic rocket emits a gas jet with non-relativistic velocity u constant relative to the rocket. Find how the velocity v of the rocket depends on its rest mass m if the initial rest mass of the rocket equals to m_0 .

A rocket moves in the absence of external forces by ejecting a steady jet with velocity u constant relative to the rocket. Find the velocity v of the rocket at the moment when its mass is equal to m, if at the initial moment it possessed the mass m_0 and its velocity was equal to zero. Make use of the formula given in the foregoing problem.

A spaceship is returning to Earth with its engine turned off. Consider only the gravitational field of Earth and let M be the mass of Earth, m be the mass of the spaceship, and R be the radius of Earth. In moving from position 1 to position 2 the kinetic energy of the spaceship increases by:

A spaceship continues moving in space with constant speed because

A particle moving with a velocity equal to 0.4 m//s is subjected to an acceleration of 0.15 m//s^(2) for 2 s . in a direction at the right angle to its direction of motion. The resultant velocity is

A rocket ejects a steady jet whose velocity is equal to u relative to the rocket. The gas discharge rate equals mu kg//s . Demonstrate that the rocket motion equation in this case takes the form mw=F-muu , where m is the mass of the rocket at a given moment, w is its acceleration, and F is the external force.

A body of mass m moving at a constant velocity v hits another body of the same mass moving with a velocity v//2 but in the opposite direction and sticks to it. The common velocity after collision is

PHYSICS GALAXY - ASHISH ARORA-LINEAR MOMENTUM & ITS CONSERVATION-unsolved
  1. A block of mass M with a semicircualr of radius R, rests on a horizont...

    Text Solution

    |

  2. Two balls having masses m and 2m are fastened to two light strings of ...

    Text Solution

    |

  3. Three identical discs A,B and C rest on a smooth horizonal plane as sh...

    Text Solution

    |

  4. A simple pendulum is supended from a peg on a verticl wall. The pendul...

    Text Solution

    |

  5. A block 'A' of mass 2m is placed on another block 'B' of mass 4m which...

    Text Solution

    |

  6. A hainmer of mass Mkg falls from a height h meter upon the top of an i...

    Text Solution

    |

  7. Two identical blocks A and B each of mass 2 kg hanging stationsary by ...

    Text Solution

    |

  8. A shot of mass m is fired horizontally from the top of a tower of heig...

    Text Solution

    |

  9. Mass m(1) hits m(2) with inelastic impact (e=0) while slliding horizon...

    Text Solution

    |

  10. A spaceship of mass m0 moves in the absence of external forces with a ...

    Text Solution

    |

  11. A cannon of mass M located at the base of an inclined plane, shoots a ...

    Text Solution

    |

  12. A projectile is fired with a speed u at an angle theta above the horiz...

    Text Solution

    |

  13. A wedge of mass m and triangular cross- section (AB = BC = CA = 2R) is...

    Text Solution

    |

  14. A cone of mass M, radius R and height H is hanging from its apex from ...

    Text Solution

    |

  15. A chain of mass m and length l rests on a roung surfced table so that ...

    Text Solution

    |

  16. A and B are two identical blocks of same mass 2 m and same physical di...

    Text Solution

    |

  17. The two masses on the right are slightly spearated and initially at re...

    Text Solution

    |

  18. The block of mass M in figure -4.160, initially has a velocity v(o) to...

    Text Solution

    |

  19. A ball of maas m moving with a velocity v along X-axis, strikes anothe...

    Text Solution

    |

  20. Two spheres of masses 2m and 3m move towards each other with speed mu ...

    Text Solution

    |