Home
Class 12
PHYSICS
If the crest of the hill has a radius of...

If the crest of the hill has a radius of curvature p determine the maximum constnat speed at which the car can travel over it without leaving the surface of the road. Neglect the size of the car in the calculation. The car has mass m. Given p=40m, m=1700kg, `g=10m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
20m/s
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS(SINGLE CORRECT CHOICE TYPE)|40 Videos
  • CIRCULAR MOTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS(MORE THAN ONE CORRECT CHOICE TYPE)|6 Videos
  • CIRCULAR MOTION

    RESNICK AND HALLIDAY|Exercise CHECK POINTS|6 Videos
  • CIRCUITS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|3 Videos
  • CURRENT AND RESISTANCE

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|3 Videos

Similar Questions

Explore conceptually related problems

A curved road having a radius of curvature of 30 m is banked at the correct angle . If the speed of the car is to be doubled , then the radius of curvature of the road should be

A car moves at a constant speed on a straigh but hilly road. One section has a crest and dip of the 250m radius. (a) As the car passes over the crest the normal force on the car is half the 16kN weight of the car. What will the noraml force on the car its passes through th ebottom of the dip? (b) What is the greatest speed at which the car can move without leaving the road at the top of the hill ? (c) Moving at a speed found in part (b) what will be the normal force on the car as it moves through the bottom of the dip? (Take, g=10m//s^(2))

A flyover bridge is in the form of a circular are of radius 39.5 m . What is the limiting speed at which a car can cross the bridge without losing constact with the road , at the highest point ? [Assume that the centre of gravity of the car is 0.5 m above the road and g= 10m//s^(2) ]

A bend in a level road has a radius of 100 m Find the maximum speed which a car turning this bend may have without skidding if coefficient of friction between the tyres and the road is 0 .8 S .

A roadway bridge over a rivulet is in the form of quarter of a circle of radius 60 m. What is the maximum speed with which a car can pass over the bridge without leaving the ground at any point ?

A circular racing car track has a radius of curvature of 500 m. The maximum speed of the car is 180 km//hr . The angle of banking theta is (g=10 m//s^2 )

Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be

Find the maximum speed at which a car can turn round a curve of 30 m radius on a level road if coefficient of friction between the tyress and road is 0.4. Take g = 10 m//s^(2) .

A car has a rear view mirror of radius of curvature 2 m. A motorcycle is approaching the car at 15 m//s . If the car is stationary, how fast is the image of the bike approaching the car when the bike is 40 m away?

RESNICK AND HALLIDAY-CIRCULAR MOTION-PROBLEMS
  1. At the equator, the effective value of g is smaller than at the this t...

    Text Solution

    |

  2. A particle is to slide along a horizontal circular path on the inside ...

    Text Solution

    |

  3. A roller coaster is designed such that riders experience "weightlessne...

    Text Solution

    |

  4. The angular acceleration of the toppling pole shown in fig is given by...

    Text Solution

    |

  5. A wet open umbrella is held up right as shown in fig and is twirled ab...

    Text Solution

    |

  6. A particle whose mass is 2 kg moves with a speed of 44 m/s on a curved...

    Text Solution

    |

  7. A bug is crawling with constant speed v, along the spoke of a bicycle ...

    Text Solution

    |

  8. At the instant theta=theta(1) in the fig the boy's center of mass G ha...

    Text Solution

    |

  9. If the crest of the hill has a radius of curvature p determine the max...

    Text Solution

    |

  10. The man has weight W and lies against the cushion for which the coeffi...

    Text Solution

    |

  11. A collar having a mass M and negligible size slides over the surface o...

    Text Solution

    |

  12. The smooth block B, having mass M is attached to the vertex A of the r...

    Text Solution

    |

  13. The pendulum bob B of mass M is released from rest when theta=0^(@). ...

    Text Solution

    |

  14. A small coin is placed on a flat, horizontal turbtable. The turnable i...

    Text Solution

    |

  15. A chain of mass 'm' and radius 'r' is placed onto a cone of semi verti...

    Text Solution

    |

  16. A hemispherical bowl of radius R is rotated about its axis of symmetry...

    Text Solution

    |

  17. A cat sits on a stationary merry go round, at a radius of 5.4 m from ...

    Text Solution

    |

  18. A small 0.25 kg collar C many slide on a semicircular rod which is mad...

    Text Solution

    |

  19. A package of mass m is placed inside a drum that rotates in the vertic...

    Text Solution

    |

  20. The mass at C is attached to the vertical pole AB by two wires. The as...

    Text Solution

    |