Home
Class 12
PHYSICS
What is the minimum velocity with which ...

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

A

`sqrt(5gR)`

B

`sqrt(gR)`

C

`sqrt(2gR)`

D

`sqrt(3gR)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • WORK ENERGY AND POWER

    VMC MODULES ENGLISH|Exercise IMPECCABLE|54 Videos

  • WORK ENERGY AND POWER

    VMC MODULES ENGLISH|Exercise ENABLE|50 Videos

  • WAVE MOTION

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE LEVEL 2 (TRUE FALSE TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

A ball of mass m is attached to one end of a light rod of length l , the other end of which is hinged. What minimum velocity v should be imparted to the ball downwards, so that it can complete the circle ?

A cabin is moving upwards with a constant acceleration g. A boy standing in the cabin wants to whirl a particle of mass m in a vertical circle of radius l . (Mass is attached to an ideal string.) Calculate minimum velocity which should be provided at lowermost point (w.r.t cabin) so that particle can just complete the circle.

You may have seen in a circus a motorcyclist driving in vertical loops inside a death well (a hollow spherical chamber with holes, so the spectators can watch from outside). Explain clearly why the motorcyclist does not drop down when he is at the uppermost point of death well with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m ?

With what velocity a body of mass m be projected vertically upwards so that it may be able to reach a height nR above earth's surface

An inclined track ends in a circular loop of radius r. From what height on the track a particle should be released so that it completes the loop, assuming there is no friction ?

The velocity of a body of mass m revolving in a vertical circle of radius R at the lowest point 2sqrt2gR . The minimum tension in the string will be

A rectangular conducting loop, PQRS is hanging from a thread as shown. Thread is now cut. Compute velocity with which the loop falls as function of time t. Show that if side PS is large enough the loop ultimately falls with constant speed. (m = mass of loop, r = Resistance of loop, PQ = l, PS = b)

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R , as shown. Choose the correct alernative(s) if H=2R .

A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R , as shown. Choose the correct alernative(s) if H=2R .

VMC MODULES ENGLISH-WORK ENERGY AND POWER -EFFICIENT
  1. A particle of mass 1 kg is moving along x - axis and a force F is also...

    Text Solution

    |

  2. If a projectile is projected with initial speed u and angle theta from...

    Text Solution

    |

  3. An 8 kg block accelerates uniformly from rest to a velocity of 4 m s^(...

    Text Solution

    |

  4. Consider the following statement. When jumping from some height, you s...

    Text Solution

    |

  5. An engine is working at a constant power draws a load of mass m agains...

    Text Solution

    |

  6. The potential energy of a system increase,if work is done

    Text Solution

    |

  7. A body projected vertically from the earth reaches a height equal to e...

    Text Solution

    |

  8. Power applied to a particle varies with time as P=(4t^(3)-5t+2) watt, ...

    Text Solution

    |

  9. An engine develops 10 kW of power. How much time will it take to lift ...

    Text Solution

    |

  10. What is work done when body will displaces perpendicular to the force ...

    Text Solution

    |

  11. A tube - well pump out 2400 kg of water per minute. If water is comin...

    Text Solution

    |

  12. A mass m moving horizontal (along the x-axis) with velocity v collides...

    Text Solution

    |

  13. A car of mass m starts from rest and accelerates so that the instantan...

    Text Solution

    |

  14. A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...

    Text Solution

    |

  15. 300J of work is done in slinding a 2 kg block up an inclined plane of ...

    Text Solution

    |

  16. A sheel of mass 200g is ejected from a gun of mass 4 kg by an explosio...

    Text Solution

    |

  17. Two particles of masses m(1), m(2) move with initial velocities u(1) a...

    Text Solution

    |

  18. Two similar springs P and Q have spring constant K(P)"and "K(Q) , suc...

    Text Solution

    |

  19. What is the minimum velocity with which a body of mass m must enter a ...

    Text Solution

    |

  20. A body of mass 1 kg begins to move under the action of a time dependen...

    Text Solution

    |