Work, Power and EnergyHard

Question

Consider a roller coaster with a circular loop. A roller coaster car starts from the top of a hill which is 5 M higher than top of the loop. It down the hill and through the loop. What must the radius of the loop be so that passengers of the car will feel at highest point, as if they have their normal weight?

Options

A.5 m
B.10 m
C.15 m
D.20 m

Solution

According to mechanical energy conservation between A and B
mg(5) = O + mv2 ⇒ v2 = 10g ....(i)
According to centripetal force equation
N + mg = for N = mg; 2mg = ⇒ r = = 5m

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