Q#3 A roller coaster car goes over a hill at a constant speed of12.0m/s.(a) what

Question

Q#3 A roller coaster car goes over a hill at a constant speed of12.0m/s.(a) what radius must the hill have in order forthe rider in the car to feel weightless at the top of the hill?.(b)How fast must the linear speed of the roller coaster carbe in order for the rider to feel two times their weight atthe bottom of a dip of radius,30.0m? Q#3 A roller coaster car goes over a hill at a constant speed of12.0m/s.(a) what radius must the hill have in order forthe rider in the car to feel weightless at the top of the hill?.(b)How fast must the linear speed of the roller coaster carbe in order for the rider to feel two times their weight atthe bottom of a dip of radius,30.0m?

Explanation / Answer

From the rider's view, he has the additional force f =mv2/R and thus has the acceleration v2/R(outward) a At the top of the hill: a = g - v2/R = 0 So R = v2/g = 14.69 m b At the bottom of the hill: a = g + v2/R = 2g So v = (gR) = 17.15 m/s

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