Question

The weight of passengers on a roller coaster increases by 59% as the car goes through a dp with a 38 m radius of curvature. What is the cars speed at the bottom of the dip? Express your answer to two significant figures and include the appropriate units.

Answer 1

Radius r = 38 m

Centrifugal force F = 59 % of W

mv ² / r = 0.59 W

= 0.59 mg

v ² / r = 0.59 g

From this v ² = 0.59 rg

= 0.59 x 38 x9.8

= 219.716

v = 14.822 m/s