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  • Sep 4, 2010, 09:40 AM
    idontknow19
    Circular motion problems
    Hope you can help me to solve this problem.thank you for your effort

    A car is traveling at 50km/hr on a road such that the coefficient of friction between its tires and the road is 0.50.What is the maximum turning radius of the car?




    A 3.2 pound stone at the end of the string 2.0 feet long is whirled in a vertical circle. The tension in the string is 5.0pound when the stone is at the top of the circle.What is the velocity of the stone?
  • Sep 5, 2010, 10:16 AM
    Unknown008

    (a) I assume the mass of the car is m kg.

    The maximum value for the frictional force is given by:



    Now, we know that in circular motion, the centripetal force is given by:



    You have F, which is the centripetal force the frictional force provides,
    m is the mass of the car,
    v is the speed of the car in m/s
    r is the turning radius.

    Solve for r.

    (b)

    We know that the centripetal force here is given by the (Tension + Weight of stone).
    We know the mass of the stone, just convert to kg.
    We know the radius of the motion, just convert into metres.

    Solve for v the speed of the stone.

    Post what you get! :)

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