Home
Class 11
PHYSICS
A small body of mass m lies on a horizon...

A small body of mass m lies on a horizontal plane. The body is given a velocity `v_0`, along the plane. (a) Find the mean power developed by the friction during the whole time of motion, if friction coefficient is `mu = 0.3, m = 2.0 kg` and `v_0` = 3 m/s. (b) Find the maximum instantaneous power developed by the friction force, if the friction coefficient varies as `mu =alphax`, where `alpha` is a constant and x is distance from the starting point

Text Solution

Verified by Experts

The correct Answer is:
(a) -9 watt
(b) `1/2 mv_(0)^(2) sqrt(alphag)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A small body of mass m is located on a horizontal plane at the point O. The body of mass m is located on a horizontal plane at the point O. The body acquires a horizontal velocity v_0 . Find, (a) the mean power developed by the friction force during the whole time of motion, if the friction coefficient k=0.27 , m=1.0kg , and v_0=1.5m//s , (b) the maximum instantaneous power developed by the friction force, if the friction coefficient varies as k=alphax , where alpha is a constant, and x is the distance from the point O.

A small body of mass m is given velocity v_0 at point O on rough horizontal surface. (a) Find the mean power developed by the friction force during the whole time of motion if the friction coefficient is constant and equal to mu_0 (b) Find the maximum instantaneous power developed by the friction force, if the friction coefficient varies as mu=mu_0x , where mu_0 is a constant and x is the distance from the point O .

A small body of mass m is located on a horizontal plane at the point O. The body acquires a horizotal velocity u. Find: (a) The mean power developed by the friction force during the whole time of motion, if the friction coefficient is k. (b) The maximum instantaneous power developed by the friction force, if the friction coefficient varies as k=ax, where alpha is a constant and x is the distance from the point O.

A small body of mass m is located on a horizontal plane at the point O. The body acquires a horizontal velocity v_0 . Find the mean power developed by the friction force during the whole time of motion, if the frictional coefficient mu=0.27 , m=1.0kg and v_0=1.5ms^-1 .

An object of mass (m) is located on the horizontal plane at the origin O. The body acquires horizontal velocity V. The mean power developed by the frictional force during the whole time of motion is ( mu= frictional coefficient )

A body of mass m is thrown at an angle alpha to the horizontal with the initial velocity v_0 . Find the mean power developed by gravity over the wholetime of motion of the body, and the instantaneous power of gravity as a function of time.

A body of mass 2 kg is placed on rough horizontal plane. The coefficient of friction between body and plane is 0.2 Then,

A body of mass 2 kg at rest on a horizontal table. The coefficient of friction between the body and the table is 0.3 . A force of 5N is applied on the body. The force of friction is

A body of mass m accelerates uniformly from rest to velocity v_(0) in time t_(0) , find the instantaneous power delivered to body when velocity is (v_(0))/(2) .

ARIHANT-WORK, POWER AND ENERGY-All Questions
  1. A semicircular wire frame of radius R is standing vertical on a horizo...

    Text Solution

    |

  2. A ideal spring of force constant k is connected to a small block of ma...

    Text Solution

    |

  3. A light spring is vertical and a mass less pan is attached to it. Forc...

    Text Solution

    |

  4. A particle of mass m = 1.0 kg is free to move along the x axis. It is ...

    Text Solution

    |

  5. A particle of mass m = 1 kg is free to move along x axis under influen...

    Text Solution

    |

  6. A particle of mass m moves under the action of a central force. The po...

    Text Solution

    |

  7. A small block is placed on the top of a smooth inverted hemispherical ...

    Text Solution

    |

  8. A pendulum bob is projected form its lowest position with velocity (u)...

    Text Solution

    |

  9. A small ball is attached to an end of a light string of length R. It i...

    Text Solution

    |

  10. A spherical balll of mass m is the highest point in the space between ...

    Text Solution

    |

  11. A particle is suspended vertically from a point O by an inextensible m...

    Text Solution

    |

  12. A simple pendulum has a bob of mass m and string of length R. The bob ...

    Text Solution

    |

  13. A light thread is tightly wrapped around a fixed disc of radius R. A p...

    Text Solution

    |

  14. An experimenter is inside a train. He observes that minimum speed at l...

    Text Solution

    |

  15. A small body of mass m lies on a horizontal plane. The body is given a...

    Text Solution

    |

  16. Two particles of masses M and m (M gt m) are connected by a light stri...

    Text Solution

    |

  17. A small object is sliding on a smooth horizontal floor along a vertica...

    Text Solution

    |

  18. AB is a vertically suspended elastic cord of negligible mass and lengt...

    Text Solution

    |

  19. The pulleys and strings shown in the figure are smooth and of negligib...

    Text Solution

    |

  20. Three identical masses are attached to the ends of light strings, the ...

    Text Solution

    |