Some gleeful information: _ v _ 2 ' . . . ac ,. w 7' (centripetal acceleration), v = on" (uniform Cll'Cl'llaJ.' motion). Xi = m5 (Newton's 2nd), W = mg' (Weight). fk = pkN (Kinetic friction) fa S ,LL,N (Static friction) _ G . . _ , fig m;z (GraVItatlonal force of object 1 on object 2, r equals centerhtocenter distance) 9 = 9.8 111/52 downward, G = 6.67 x 1011 1\\I-rr12/kg'2 1. The coefcient of static friction ,us = 1.0 between rubber and asphalt. For a curved road with a radius 'r' = 100 In and. that is banked at an angle of 10", what is the maximum speed of a car traveling around this curve so that the car doesn't begin skidding? Be careiul determining the direction of the static frictional force. And, here, it may be best not to tilt the axis (thinking about the direction of the acceleration). 2. The operator of a Ferris Wheel, which has a radius of 15 meters, falls asleep on the lever that controls the speed of the Ferris wheel, slowly increasing the Ferris wheel's speed. (a) At What speed and at what point of the Ferris wheel's motion will a rider feel as though they are weightless, i.e., that they lose contact with the bench on which they are sitting\"! (b) What are the Ferris wheel's period and angular speed when this occurs? 3. The mass and radius of Saturn are roughly 100 times and 10 times that oi the Earth's mass and radius, respectively. Its orbital radius about the Sun is around 10 times that oi the Earth's orbital radius. With this information, determine (a) the acceleration of a ball being dropped on Saturn's surface and (b) the time it takes Saturn to orbit the Sun