Physics

A 1400 kg car rounds a curve of 57 m banked at an angle of 14 degree

If the car is traveling at 98 km/h, how much friction force will be required?

I cannot figure out how to solve this problem. Someone please help me?

asked by Mike Joseph
  1. ΣFy = N• cos θ − mg − f •sin θ = 0
    ΣFx = N• sin θ + f •cos θ = m•v²/R,
    where f –friction force

    Solving the 1st equation for N, we obtain
    N =( f •sin θ + m•g)/cos θ,
    Substitute N to the 2nd equation and obtain friction force
    f =m[(v²•cosθ/R) - g•sinθ].
    f=1400[27²•cos14/57 – 9.8•sin18} =
    =1400[12.4-2.04] =14000 N

    posted by Elena

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics Circular Motion

    A 1400 kg car rounds a curve of radius 66 m banked at an angle of 12°. What is the magnitude of the friction force required for the car to travel at 80 km/h?
  2. Physics

    A car, having a mass of 1.2 x 10^3kg rounds a curve which is banked at an angle of 18 degrees to the horizontal. The radius of the curve is 130m. Find the speed of the car if the frictional force between the tires and the road is
  3. Physics of Vehichle

    A 1400 kg car rounds a curve of 57 m banked at an angle of 14 degrees If the car is traveling at 98 km/h, will a friction force be required? If so, in what direction? May someone please walk me through this problem step by step?
  4. PHYSICS?

    1300 kg car rounds a banked curve of radius= 50m. If car traveling at 75 km/h and the coefficient of static friction between the tire and road is 0.45 ... 1.) what is the minimum angle of the bank needed to keep the car in the
  5. Physics

    A 1400-kg car rounds a curve of 57-m banked at an angle of 14 degrees. If the car is traveling at 98-km/h (27-m/s), will a friction force be required? If so in what direction? How much friction force will be required?
  6. Physics

    Hi everyone, finished all my utexas physics homework, save this last question... I don't quite why I'm not getting the right answer. Any help offered will be appreciated, it could lead me to the right answer :) P.S.---- I've
  7. Physics

    Hi everyone, finished all my utexas physics homework, save this last question... I don't quite why I'm not getting the right answer. Any help offered will be appreciated, it could lead me to the right answer :) P.S.---- I've
  8. physics

    How much friction force will be required if a car weighing 2100kg traveling at 28m/s rounds a curve of radius 59m banked at a 15 degree angle
  9. physics

    A 2100 kg car rounds a curve of 67 m banked at an angle of 13. If the car is traveling at 105 km/h, will a friction force be required? If so, in what direction?
  10. Physics

    A 1000 kg car rounds a curve of radius 70 m banked at an angle of 12°. What is the magnitude of the friction force required for the car to travel at 82 km/h?

More Similar Questions