Home
Class 12
PHYSICS
A car is moving on a ciirular level road...

A car is moving on a ciirular level road of curvature 300 m. If the coefficient of friction is 0.3 and acceleration due to gravity 10 `ms^-2`, the maximum speed that car can have is

A

`30kmh^-1`

B

`81kmh^-1`

C

`108 kmh^-1`

D

`162kmh^-1`

Text Solution

Verified by Experts

Range ,R=2m
Horizontal range,
`R=(u^2(sin2theta))/g`
`implies(u^2(sin2theta))/g=2`
`impliesu^2(sin(2xx45))/g=2`
`implies(u^2(1))/g=2`
`:.u=sqrt(2g)`.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    SIA PUBLICATION|Exercise MCQs|35 Videos
  • LAWS OF MOTION

    SIA PUBLICATION|Exercise M.C.Q|41 Videos

Similar Questions

Explore conceptually related problems

A motor cycle is travelling on a curved track of radius 500 m. If the coefficient of friction between the tyres and road is 0.5, with g = 10 ms^ -2 . What should be the maximum speed to avoid skidding

A circular racetrack of radius 300 m is banked at an angle of 15^@ . If the coefficient of friction between the wheels of a race-car and the road is 0.2, what is the (a) optimum speed of the race- car to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping ?

A circular racetrack of radius 300m is banked at an angle of 15°. If the coefficient of friction between the wheels of a race - car and the road is 0.2, what is the (a) optimum speed of the race - car to avoid wear and tear on its tures, and (b) maximum. Permissible speed to avoid slipping?

SIA PUBLICATION-KINETIC THEORY -PROBLEM ( MCQs )
  1. The angle between two vectors 6 hati + 6 hatj- 3hatk and 7 hati + 4 ha...

    Text Solution

    |

  2. The minimum speed for a particle al the lowest point of vertical circl...

    Text Solution

    |

  3. A car is moving on a ciirular level road of curvature 300 m. If the co...

    Text Solution

    |

  4. A person throws a bottle into a dust-bin at the same height as he is 2...

    Text Solution

    |

  5. A car starts from rest, attains a velocity of 36 kmh^-1 with an accele...

    Text Solution

    |

  6. 1. A stone tied to a string is rotated in a vertical circle. The minim...

    Text Solution

    |

  7. The maximum speed with which a car can be driven touqd a curve of radi...

    Text Solution

    |

  8. For an electron circulating around the nucleus, the centripetal force ...

    Text Solution

    |

  9. A particle is moving east wards with a velocity of 15 ms^(-1). In a ti...

    Text Solution

    |

  10. The reaction time for a car driver is 0.9 s. If the car travetling ini...

    Text Solution

    |

  11. The angular velocity of the second's-hand ofa watch is

    Text Solution

    |

  12. The direction of velocity and acceleration of a projectile at the high...

    Text Solution

    |

  13. A bomb is dropped from an aircraft travelling horizontal at 150 ms^-1 ...

    Text Solution

    |

  14. The angle made by the vector vecA = veci + vecj with x-axis is

    Text Solution

    |

  15. A fan is making 600 rev/min. If it makes 1200 rev/min, what is the inc...

    Text Solution

    |

  16. The angular velocity of a rickshaw wheel is 70 rads^-1. If !he radius ...

    Text Solution

    |

  17. If a particle tied to the end of string is set in circular motion then...

    Text Solution

    |

  18. A motor cycle is travelling on a curved track of radius 500 m. If the ...

    Text Solution

    |

  19. A body is projected vertically up with speed u takes time T to reach m...

    Text Solution

    |

  20. The displacement of a particle moving in a straight line is given by x...

    Text Solution

    |