physics

posted by .

A car is travelling up one side of a hill and down the other side.The crest is a circular arc with radius of 45m. Determine the maximum speed that the car can have while moving over the crest without losing contact with the road.

  • physics -

    Contact will be lost if V^2/R > g
    At higher V, gravity will not provide enough centripetal force to keep it on the road.

    The maximum V that allows road contact is
    when V^2/R = g

    V = sqrt(gR)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A car is traveling over the top of a hill, which we will model to be a piece of a circular arc of radius R. For each case below, draw careful to-scale motion maps and use them to construct the velocity vectors at the following three …
  2. physics circular arc

    A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 68.0 m. Determine the maximum speed that the cycle can have while moving over the crest without losing …
  3. Physics

    A stuntman drives a car over the top of a hill, the cross section of which can be approximated by a circular arc of radius 250 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?
  4. physics

    A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 35.5 m. Determine the maximum speed that the cycle can have while moving over the crest without losing …
  5. Physics

    A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.3 m. Neglect friction and air resistance. …
  6. Physics

    A bus goes over the crest of a hill at 10 m/s and the radius of curvature of the hill is 15 m. Determine the force exerted by the car seat for a man of 75 kg. At what speed would you become weightless
  7. physics

    A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.1 m. Neglect friction and air resistance. …
  8. physics

    A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 39.6 m. Neglect friction and air resistance. …
  9. physics

    a 1710 kg passes over a hill that follows the arc of a circle of radius 41.5 meters. what is the maximum speed the car can have passing this point so the car does not leave the road
  10. physics

    A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 43.0 m. Determine the maximum speed that the cycle can have while moving over the crest without losing …

More Similar Questions