turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present at all, and please please use the coordinate system specified. A) Can you find the y component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. B) Can you find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. C) Please write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ. D) Please write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v. E) Now assume that the car is moving at 29 m/s and the radius of the track is 390 m. What is the angle θ in degrees?
The Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present at all, and please please use the coordinate system specified.
A) Can you find the y component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN.
B) Can you find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN.
C) Please write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ.
D) Please write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.
E) Now assume that the car is moving at 29 m/s and the radius of the track is 390 m. What is the angle θ in degrees?
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