Question

If a car is going around a loop-de-loop with an initial speed of 37.8 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

Answer 1

Answer:

+++++++++++

Explanation:

It can go only as high as where the potential energy is equal to the origianlal  kinetic energy   (all of the KE is converted to PE)

PE    =  KE

mgh = 1/2 mv^2

gh = 1/2 v^2

h = 1/2 v^2 / g = 1/2 * 37.8^2 / 9.81  = 72.8 meters

   the radius is of course, half of this = 36.4 m