Home
Class 11
PHYSICS
A satellite in a force - free space swee...

A satellite in a force - free space sweeps stationary interplanetary dust at a rate `dM//dt = alpha v`, where `M` is the mass , `v`is the velocity of the satellite and `alpha` is a constant. What is the deacceleration of the satellite ?

A

`-2alphav^(2)N//M`

B

`-alphav^(2)//M`

C

`+alphav^(2)//M`

D

`-alphav^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Third Law of Motion|24 Videos
  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Conservation of Linear Momentum and Impulse|27 Videos
  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Self Evaluation Test|16 Videos
  • MOTION IN TWO DIMENSION

    ERRORLESS |Exercise Exercise|319 Videos
  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on motion of connected mass)|10 Videos

Similar Questions

Explore conceptually related problems

A satellite in force-free sweeps stationary interplanetary dust at a rate of dM/dt=alpha v , where M is mass and v is the speed of satellite and alpha is a constant. The tangential acceleration of satellite is

A satellite in a force-free space sweeps stationary interplantary dust at a rate (dM)/(dt) = beta upsilon , where upsilon is the speed of escaping dust w.r.t. satellite and M is the mass of saetllite at that instant. The acceleration of satellite is

A spaceship in space sweeps stationary interplanetary dust . As a result , its mass increase at a rate (dM(t))/(dt) =bv^(2) (t) , where v(t) is its instantaneous velocity . The instantaneous acceleration of the satellite is :

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

An equation relating to the stability of an aeroplane is given by (dv)/(dt) = g cos alpha - kv , where v is the velocity and g, alpha, k are constants. Find an expression for the velocity if v = 0 at t =0

An artificial satelite of the moon revolves in a circular orbit whose radius exceeds the radius of the moon eta times. The process of motion the satelite experiences a slight resistance due to cosmic dust. Assuming the resistance force to depend on the velocity of the satellite as F=alphav^2 , where alpha is a constant, find how long the satellite will stay in orbit until it falls onto the moon's surface.

ERRORLESS -NEWTONS LAWS OF MOTION-Second Law of Motion
  1. A thief stole a box full of valuable articles of weight W and while ca...

    Text Solution

    |

  2. N bullet each of mass m kg are fired with a velocity v ms^-2 at the ra...

    Text Solution

    |

  3. If a body of mass m is carried by a lift moving with an upward acceler...

    Text Solution

    |

  4. With what minimum acceleration can monkey slide down a rope whose brea...

    Text Solution

    |

  5. A ball of mass m moves with speed v and it strikes normally with a wal...

    Text Solution

    |

  6. The velocity of a body at time t = 0 is 10sqrt2m//s in the north-east ...

    Text Solution

    |

  7. A body of mass 5 kg starts from the origin with an initial velocity ve...

    Text Solution

    |

  8. A body of mass 8kg is moved by a force F = (3x)N, where x is the disat...

    Text Solution

    |

  9. The linear momentum p of a body moving in one dimension varies with ti...

    Text Solution

    |

  10. A ball of mass 0.5 kg moving with a velocity of 2 m//s strikes a wall ...

    Text Solution

    |

  11. A paarticle moves in the xy-plane under the action of a force F such t...

    Text Solution

    |

  12. n balls each of mass m impinge elastically each second on a surface wi...

    Text Solution

    |

  13. A ball of mass 400 gm is dropped from a height of 5 m . A boy on the g...

    Text Solution

    |

  14. The time in which a force of 2 N produces a change of momentum of 0.4k...

    Text Solution

    |

  15. A gun of mass 10 kg fires 4 bullets per second. The mass of each bulle...

    Text Solution

    |

  16. A gardener water the plants by a pipe of dimeter 1mm . The water comes...

    Text Solution

    |

  17. A solid disc of mass M is just held in air horizontally by throwing 40...

    Text Solution

    |

  18. A ladder rests against a frictionless vertical wall, with its upper en...

    Text Solution

    |

  19. A satellite in a force - free space sweeps stationary interplanetary d...

    Text Solution

    |

  20. 10,000 small balls, each weighing 1 gm , strike one square cm of area ...

    Text Solution

    |