Home
Class 12
PHYSICS
A particle of mass m is released from th...

A particle of mass m is released from the edge of a rough bowl of radius r. It momentrially comes to rest at point B, whose radius vector making an angle `30^(@)` with the vertical . If `mu=(1)/(sqrt(3))`, then work done by the frictional force on the particle is

A

`-(mu m gR)/(2)`

B

`(mgR)/(2)`

C

`-(sqrt(3)mu m gR)/(2)`

D

`-(sqrt(3)mgR)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( OBJECTIVE) (LEVEL-I) (ASSERTION REASONING TYPE)|2 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( OBJECTIVE) (LEVEL-II)|19 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise ASSIGNMENT PROBLEMS ( SUBJECTIVE) (LEVEL-II & III)|15 Videos

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m is released on a fixed. Smooth sphere of radius R at a position, where the radius through the particle makes an angle of alpha with the verticle. What is the angle made by radius through the particle when the particle loses contact with sphere? (cos alpha=3//4)

A particle of mass m is being circulated on a vertical circle of radius r. If the speed of particle at the highest point be v, then

A particle of mass m is released from the top of a smooth hemisphere of radius R with the horizontal speed mu . Calculate the angle with verticle where it loses contact with the hemisphere.

A particle of mass m is kept on a fixed , smooth sphere of radius R at a position, where the rdius thrugh the particle makes an angle of 30^0 with the vertical. The particle is releases from this positon. a. What is the force exerted by the sphere on teh particle just after the release? b. Find the distance travelled by the particle before it leaves contact with the sphere.

A particle rests on the top of a smooth hemisphere of radius r . It is imparted a horizontal velocity of sqrt(etagr) . Find the angle made by the radius vector joining the particle with the vertical at the instant the particle losses contact with the sphere.

A particle of mass m is released in a smooth hemispherical bowl from shown position A. Find work done by gravity as it reaches the lowest point B.

A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30^(@) with the vertical. The box is released from this position (a) What is the force exerted by the sphere on the box just after the release ? (b) Find the distance travelled by the box before it leaves contact with the sphere.

A particle of mass m=5.00kg is released from point A and it slides on the frictionless track shown in figure. Determine (a) the particle's speed at points B and C and (b) the net work done by the gravitational force as the particle moves from A to C.

A particle of mass m is placed in equlibrium at the top of a fixed rough hemisphere of radius R. Now the particle leaves the contact with the surface of the hemisphere at angular position theta with the vertical wheere cos theta""(3)/(5). if the work done against frictiion is (2mgR)/(10x), find x.

If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force (-1//r^(2)) , the total energy is

FIITJEE-WORK, ENERGY AND POWER -ASSIGNMENT PROBLEMS ( OBJECTIVE) (LEVEL-I)
  1. A fixed wedge ABC is in the shape of an equilateral triangle of side l...

    Text Solution

    |

  2. One fourth chain is hanging down from a table work done to bring the h...

    Text Solution

    |

  3. A force shown in the F-x graph is applied to 5 kg cart, which then coa...

    Text Solution

    |

  4. A body of mass 100 g is rotating in a circular path of radius r with...

    Text Solution

    |

  5. What is the velocity of the bob of a simple pendulum at its mean posit...

    Text Solution

    |

  6. A car moving with a velocity of 10m/s can be stopped by the applicatio...

    Text Solution

    |

  7. A block of mass m = 0.1 kg is released from a height of 4 m on a curve...

    Text Solution

    |

  8. A mass M is lowered with the help of a string by a distance h at a con...

    Text Solution

    |

  9. A block of mass 2 kg is kept at origin at t = 0 and is having velocity...

    Text Solution

    |

  10. A wind - powered generator convets and energy into electrical energy ...

    Text Solution

    |

  11. A stone tied to a string of length l is whirled in a horizontal circle...

    Text Solution

    |

  12. A block of mass m is released from a height R on the frictionless inc...

    Text Solution

    |

  13. A vehicle is driven along a straight horizontal track by a motor which...

    Text Solution

    |

  14. A bullet loses 1/10 th or its velocity when it passes through a plank....

    Text Solution

    |

  15. A body of mass m accelerates uniformly from rest to v1 in time v2. As ...

    Text Solution

    |

  16. An engine pumps a liquid of density 'd' continuously through a pipe o...

    Text Solution

    |

  17. A particle of mass m is moving in a circular path of constant radius r...

    Text Solution

    |

  18. A man M(1) of mass 80 kg runs up a staircase in 15 s. Another man M(2)...

    Text Solution

    |

  19. A block of mass M is pulled along a horizontal surface by applying a f...

    Text Solution

    |

  20. A particle of mass m is released from the edge of a rough bowl of radi...

    Text Solution

    |