Home
Class 11
PHYSICS
An automobile is moving on a horizontal ...

An automobile is moving on a horizontal road with a speed `upsilon` If the coefficient of friction between the tyres and the road is `mu` show that the shortest distance in which the automobile can be stooped is `upsilon^(2)//2 mu g`.

Text Solution

Verified by Experts

Here, `u = upsilon, a = - mu g , s = ? upsilon = 0`
From `upsilon^(2) - u^(2) = 2 as`
`0 - upsilon^(2) = 2 (-mu g) s , s =upsilon^(2)//2 mu g` .
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    PRADEEP|Exercise JEE (Main and Advanced)/ Medical Entrance Special|93 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Integer Type Questions|7 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Fill in the blanks|20 Videos
  • KINEMATICS

    PRADEEP|Exercise 1 NCERT Comprehension|4 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos

Similar Questions

Explore conceptually related problems

A car is moving along a straight horizontal road with a speed v_(0) . If the coefficient of friction between the tyres and the road is mu , the shortest distance in which the car can be stopped is

A car is moving along a straight horizontal road with a speed v_(0) . If the coefficient of friction between the tyre and the road is mu, the shortest distance in which the car can be stopped is.

A vehicle of mass M is moving on a rough horizontal road with a momentum P If the coefficient of friction between the tyres and the road is mu is then the stopping distance is .

A vehicle of mass m is moving on a rough horizontal road with momentum P . If the coefficient of friction between the tyres and the road br mu, then the stopping distance is:

Consider a car moving along a straight horizontal road with a speed of 72 km / h . If the coefficient of kinetic friction between the tyres and the road is 0.5, the shortest distance in which the car can be stopped is [g=10ms^(-2)]

Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of static friction between the tyres and the road is 0.5, the shortest distance in which the car can be stopped is [g=10 ms^(-1)]

Consider a car moving along a straight horizontal road with a speed of 36 km/h. If the coefficient of static friction between road and tyers is 0.4, the shortest distance in which the car can be stopped is (Take g=10 m//s2)

PRADEEP-LAWS OF MOTION-Problems for practice
  1. An engine of 100H.P draws a train of mass 100 metic ton with a velocit...

    Text Solution

    |

  2. A force ofv 3kg wt is just sufficient to pull a block of 4kg over a ho...

    Text Solution

    |

  3. An automobile is moving on a horizontal road with a speed upsilon If t...

    Text Solution

    |

  4. A motor car running at the rate of 7ms^(1) can be stooped by applying ...

    Text Solution

    |

  5. A horizontal force of 1.2kg is applied on a 1.5kg block, which rests o...

    Text Solution

    |

  6. A car starts with a velocity of 100m//s on a half kilometre long bridg...

    Text Solution

    |

  7. A train weighing 1000 quintals is running on a level road with a unifr...

    Text Solution

    |

  8. A body moving on the ground with a velocity of 15m//s comes to rest af...

    Text Solution

    |

  9. A box of mass 4kg rests upon an inclined plane This inclination is gra...

    Text Solution

    |

  10. When a car moving with a speed of 36km//h reaches an upwards inclined ...

    Text Solution

    |

  11. An engine of mass 6.5 metric ton is going up an incline of 5 in 13 at...

    Text Solution

    |

  12. A body of mass m is released from the top of a rough inclined plane of...

    Text Solution

    |

  13. A block slides down an incline of 30^(@) with the horizontal starting...

    Text Solution

    |

  14. In a children park an inclined plane is constructed with an angle of i...

    Text Solution

    |

  15. A block slides down an incline of angle 30^(@) with an acceleration of...

    Text Solution

    |

  16. A force of 98N is just able to move a body of weight 45kg on a rough h...

    Text Solution

    |

  17. A block of mass 2kg rests on a rough inclined plane making an angle of...

    Text Solution

    |

  18. An engine draws a train up an incline of 1 in 100 at the rate 36km//h ...

    Text Solution

    |

  19. Calculate the power of an engine which can pull a train of mass 25000 ...

    Text Solution

    |

  20. A mass of 100kg is resting on a rough inclined plane of angle 30^(@) I...

    Text Solution

    |