A roller coaster includes a vertical loop of radius 25 m A) what is the minimum

Question

A roller coaster includes a vertical loop of radius 25 m
A) what is the minimum speed at which the car must move at the top of the loop so that it does not loose contact with the track
B) if the speed of roller coaster at the bottom of the loop is 30 m/ sec what is the normal force exerted on the car by the track in terms of cars weight mg A roller coaster includes a vertical loop of radius 25 m
A) what is the minimum speed at which the car must move at the top of the loop so that it does not loose contact with the track
B) if the speed of roller coaster at the bottom of the loop is 30 m/ sec what is the normal force exerted on the car by the track in terms of cars weight mg
A) what is the minimum speed at which the car must move at the top of the loop so that it does not loose contact with the track
B) if the speed of roller coaster at the bottom of the loop is 30 m/ sec what is the normal force exerted on the car by the track in terms of cars weight mg

Explanation / Answer

MV^2/R = Mg ( in limiting case )

=> V = sqrt (Rg) = sqrt(25*9.8) = 15.65 m/s

b) N = mg + mV^2/R = mg + m*15.65^2/(30) = 1.833 mg

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