Home
Class 11
PHYSICS
An automobile of mass m starts from rest...

An automobile of mass m starts from rest and accelerates at a maximum rate possible without slipping on a road with `mu_(s)=0.5`. If only the rear wheels are driven and half the weight of the automobile is supported on these wheels, how much time is required to reach a speed of 100 `kmh^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
`11.3s`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION : FRICTION

    SL ARORA|Exercise Problems|17 Videos

  • Laws of Motion

    SL ARORA|Exercise Exercise|627 Videos

  • Mathematical tools

    SL ARORA|Exercise Exercise|20 Videos

Similar Questions

Explore conceptually related problems

A particle starts from rest. Its acceleration at time t=0 is 5 m//s^(2) which varies with time as shown in the figure. The maximum speed of the particle will be

What must be the minimum coefficient of friction mu between the tyres of the drive wheels of a car and the road, if the car and the road, if the car of mass m=2 tons and load M=4 tons, has an acceleration a=0.2 ms^(-2) ? Consider the problem for two cases : (a) all the wheels are driven , (b) only the rear wheels are driven. Assume that the centre of gravity of the car lies at the mid-point between the axes of the wheel and the centre of gravity of the load above the rear axle.

A motorboat starting from rest on a lake acceleration line at a constant rate of 3.0 m//s^(2) for 8.0 s . How far does the boat travel during this time ?

An automobile starts from rest and accelerates to a final velocity in two stages along a straight road. Each stage occupies the same amount of time. In stage 1, the magnitude of the car's acceleration is 3.0 m//s^(2) . The magnitude of the car's velocity at the end of stage 2 is 2.5 times greater than it is at the end of stage 1. Find the magnitude of the acceleration is stage 2.

An automobile can accelerate or decelerated at a maximum value of 5m//s^(2) and can attain a maximum speed of 90 km hr. It it starts from rest. What is the shortest time in which can travel 80 metre. If it is comes to rest at the end of the 80 metre run ?

An automobile starts from rest and accelerates unifomly for 30 second to a speed of 72 km h^(-1) . It then moves with a uniform veocit and it is finally brought to rest in 50 m with a constant retardation. If the total distance travelled is 950 m , find the accleration, the retaradation and total time taken.

An electric vehicle starts from rest and accelerates at a rate of 2.0 m//s^(2) in a straight line until it reaches a speed of 20 m//s. The vehicle then slows at a constant rate of 1.0m//s^(2) until it stops. (a) How much time elapses from start to stop ? (b) How far does the vehicle travel from start to stop ?

A truck starts from rest with an acceleration of 1.5 m//s^(2) car 150 m behind starts from rest with an acceleration of 2 m//s^(2) . How long will it take before both the truck and car side byside, and how much distance is traveled by each?

A car starting from rest is acceleration at constant rate until it attains a speed of 12 m/s. It moves with the constant speed 12 m/s for some time and then it is retarded at other constant rate until it comes to rest. Considering theta the car moves with constant speed for half of the time of total journey, what will be the average speed of the car for the whole journey (in m/s) ?

SL ARORA-LAWS OF MOTION : FRICTION-Self Practice
  1. Find the distance travelled by a body before coming rest, if it is mov...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the power of an engine which can maintain speed of 50ms^(-1) for ...

    Text Solution

    |

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

    Text Solution

    |

  5. An automobile of mass m starts from rest and accelerates at a maximum ...

    Text Solution

    |

  6. A suitcase is gently dropped on a conveyor belt moving at 3ms^(-1) If ...

    Text Solution

    |

  7. A truck moving at 72 kmh ^(-1) carries a steel girder which rests on i...

    Text Solution

    |

  8. A bullet of mass 10 gram is fired horizontally into a 5 kg wooden bloc...

    Text Solution

    |

  9. In the masses of A and B are 10 kg and 5 kg . Calculate the minimum ma...

    Text Solution

    |

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

    Text Solution

    |

  11. A block of mass 10 kg is sliding on a surface inclined at 30^(@) with ...

    Text Solution

    |

  12. Find the force required to move a train of mass 10^(5) kg up an inclin...

    Text Solution

    |

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

    Text Solution

    |

  14. A body just slides a rough plane inclined at an angle of 30^(@) with t...

    Text Solution

    |

  15. A 10 kg block slides without acceleration down a rough inclined plane ...

    Text Solution

    |

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

    Text Solution

    |

  17. A railway engine weighing 40 metic ton is travelling along a level tra...

    Text Solution

    |

  18. A metal block of mass 0.5 kg is placed on a plane inclined to the hori...

    Text Solution

    |

  19. A block A of mass 14 kg moves alongg an inclined plance that makes an ...

    Text Solution

    |

  20. A wooden block of mass 100 kg rests on a flat wooden floor, the coeffi...

    Text Solution

    |