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A highway curve with a radius of 430 m is banked properly for a car traveling 115 km/h. If a 1550- kg Porshe 928S rounds the curve at 220 km/h, how much sideways force must the tires exert against the road if the car does not skid?

  • physics -

    Porsche is misspelled.

    First, figure out the bank angle A from the statement that the car is "propertly banked" for v = 115 km/h. That means no lateral friction force is required to keep the tires from skidding. (At this angle, occupants will also not tend to slide in their seats)
    v = 31.9 m/s
    m v^2/R = m g tan A
    tan A = v^2/(Rg) = 0.241
    A = 13.5 degrees

    At the higher speed of V = 220 km/h = 51.7 m/s, there is a centripetal force component mV^2*cos A/R up the bank, that must be balanced by friction force F and the weight component in the opposite direction.

    m g sin A + F = m V^2/R cos A

    Solve for F

  • physics -

    you misspelled properly. nice.

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