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Flat Curves quiz

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  • What is the centripetal acceleration formula for an object moving in a circle?
    Centripetal acceleration is given by Ac = V^2/R, where V is velocity and R is radius.
  • What force keeps a car moving in a circle on a flat curve?
    The force that keeps the car moving in a circle is the static friction between the tires and the road.
  • What is the maximum static friction force formula?
    The maximum static friction force is Fs Max = μ_static × normal force.
  • What happens if a car exceeds the maximum speed on a flat curve?
    If the car exceeds the maximum speed, the tires will slip and friction will become kinetic instead of static.
  • How do you express the centripetal force in terms of mass and velocity?
    Centripetal force is expressed as F = mV^2/R.
  • What is the relationship between static friction and centripetal force in a flat curve problem?
    Static friction provides the centripetal force needed for circular motion in a flat curve.
  • What equation do you use to find the maximum speed before slipping occurs?
    The equation is V^2 = gRμ_static, where g is gravity, R is radius, and μ_static is the coefficient of static friction.
  • What is the value of the acceleration due to gravity used in these calculations?
    The acceleration due to gravity is 9.8 m/s^2.
  • What is the mass of the car in the example problem?
    The mass of the car is 800 kg.
  • What is the radius of the curve in the example problem?
    The radius of the curve is 50 meters.
  • What is the coefficient of static friction between the tires and the road?
    The coefficient of static friction is 0.5.
  • What is the calculated maximum safe speed for the car on the flat curve?
    The maximum safe speed is 15.6 meters per second.
  • What forces act on the car in the vertical axis in the free body diagram?
    The forces are the weight (mg) acting downward and the normal force acting upward.
  • Why do the mass terms cancel out when solving for maximum speed?
    The mass appears on both sides of the equation and cancels, simplifying the formula for maximum speed.
  • What type of friction is involved before the tires start to slip?
    Static friction is involved before the tires start to slip; after slipping, kinetic friction takes over.