Home
Class 11
PHYSICS
A body slides down a fixed curved track ...

A body slides down a fixed curved track that is one quadrant of a circle of radius `R`, as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is

A

`5g R`

B

`sqrt(5 g R)`

C

`sqrt(2g R)`

D

`sqrt(gR)`

Text Solution

Verified by Experts

The correct Answer is:
C

Loss of `P.E = "gain in K.E"` , `mgh = (1)/(2) m v^(2)`
Promotional Banner

Topper's Solved these Questions

  • COLLISION

    NARAYNA|Exercise Level-II (H.W)|54 Videos
  • COLLISION

    NARAYNA|Exercise Subjective type Questions|9 Videos
  • CIRCULAR MOTION

    NARAYNA|Exercise LEVEL II(H.W)|51 Videos
  • FRICTION

    NARAYNA|Exercise Passage type of questions I|6 Videos

Similar Questions

Explore conceptually related problems

A body of mass 2kg slides down a curved track which is quadrant of a circle of radius 1 metre . All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is

A block of mass 1kg slides down a curved track which forms one quadrant of a circle of radius 1m as shown in figure. The speed of block at the bottom of track is v=2 ms^(-1) . The work done by the of friction is .

A block of mass 1 kg slides down a vertical curved track that is one quadrant of a circle of radius 1m. Its speed ast the the bottom si 2 m//s . The work done by frictional force is :

An object of mass m is released from rest at a height h above the surface of a table. The object slides along the inside of the loop. The loop track consisting of a ramp and a circular loop of radius R shown in the figure. Assume that the track is frictionless. When the object is at the top of the circular track it pushes against the track with a force equal to three times its weight. What height was the object dropped from?

A body moves along a quadrant of a circle of radius (r). The displacement and distance traveled are.

A body starts rolling down an inclined plane , the top half is rough . Find the ratio of the force of friction and weight of the body if the body is brought to rest just when it reaches the bottom , the angle of the plane being 30^(@) .

A body of mass 'm' is rotated by means of a string along a verticle of radius 'r' with constant speed .The difference in tension when the body is at the bottom and at the top of the verticle circle is

A block slides down a curved frictionless track and then up an inclined plane as in figure. The coefficient of kinetic friction between the block and incline is mu_k . Find the maximum height reached by the clock.

A body slides down on a frictionless track which ends in a circular loop of diameter D. The minimum height h in terms of D so that the body may just complete the circular loop, is

NARAYNA-COLLISION-Level-I (H.W)
  1. A block of mass 4 kg slides on a horizontal frictionless surface with ...

    Text Solution

    |

  2. At what height above the ground must a mass of 5 kg be to have its PE ...

    Text Solution

    |

  3. A body slides down a fixed curved track that is one quadrant of a circ...

    Text Solution

    |

  4. An electric motor in a crane while lifting a load produces a tension o...

    Text Solution

    |

  5. An electric motor operates with an efficiency of 90%. A pump operated ...

    Text Solution

    |

  6. A machine gun fires 420 bullets per minute. The velocity of each bulle...

    Text Solution

    |

  7. A 1 kg mass at rest is subjected to an acceleration of 5m//s^(2) and t...

    Text Solution

    |

  8. If the power of the motor of a water pump is 3kW, then the volume of w...

    Text Solution

    |

  9. A particle moves with a velocity (5 hat(i)+3 hat(j)+6 hat(k)) m//s und...

    Text Solution

    |

  10. A body of mass m is rotated in a vertical circle of radius R by means ...

    Text Solution

    |

  11. A body of mass m is rotated in a vertical circle with help of light st...

    Text Solution

    |

  12. A vehicle is travelling with uniform speed along a concave road of rad...

    Text Solution

    |

  13. A car is travelling along a flyover bridge which is a part of vertical...

    Text Solution

    |

  14. A very small particle rests on the top of a hemisphere of radius 20 cm...

    Text Solution

    |

  15. A ball of 4 kg mass moving with a speed of 3ms^(-1) has a head on elas...

    Text Solution

    |

  16. A ping-pong ball strikes a wall with a velocity of 10 ms^(-1). If the ...

    Text Solution

    |

  17. Two identical balls collide head on. The initial velocity of one is 0....

    Text Solution

    |

  18. A truck of mass 15 tons moving with 1 ms^(-1) collides with a stationa...

    Text Solution

    |

  19. In the above problem the total KE before collision is

    Text Solution

    |

  20. In the above problem loss of KE during collision is

    Text Solution

    |