Consider a circular vertical loop-the-loop on a roller coaster. a car coasts without power around the loop. determine the difference between the normal force exerted by the car on a passenger with a mass of m at the top of the loop and the normal force exerted by the car on her at the bottom of the loop. express your answer in terms of m and the acceleration due to gravity g. ans-6mgthis difference of 6mg, referred to as "six gees," is quite a difference for the body to tolerate. to avoid this stress, vertical loops are teardrop-shaped rather than circular, designed so that the centripetal acceleration is constant all around the loop. how must the radius of curvature r change as the car's height h above the ground increases in order to have this constant centripetal acceleration? the radius and the speed at the ground are r0 and v0 respectively. express your answer as a function: r=r(h).