A roller coaster car of mass 330 kg including passengers tra

A roller coaster car of mass 330 kg (including passengers) travels around a horizontal curve of radius 40 m. Its speed is 16 m/s. What is the magnitude and direction of the total force exerted on the car by the track?

magnintude 2112 Incorrect: Your answer is incorrect.

N direction ° above the horizontal

Step by step would be much appreciated!

Solution

magnitude = m * sqrt [(v² / r)² + g²]

= 330 * sqrt [(16² / 40)² + 9.81²]

= 3862.55 N

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theta = tan^-1 [g r / v²]

= tan^-1 [9.8 * 40 / 16²]

= 56.83 deg