4. (5 points) A satellite is revolving around a mysterious planet at a distance h from the planet's surface. If the Planet's mass is M and radius is R, what will be the satellite's period? Assume h = 100 km, M = 6.42 x 1023 kg, and R = 3.40 x 10 m. Universal gravitational constant G = 6.67 x 10-11 N . m2/kg2. 5. (20 points) Note: For (a) to (d) consider that the road is unbanked. For (e) the road is banked. An automobile is following an unbanked curve of radius 500 m at a speed of 25.0 m/s. a. What is the magnitude of the centripetal acceleration? b. If the mass of the automobile is 900 kg, what is the centripetal force exerted on the automobile? c. Find the minimum static coefficient friction and the corresponding friction force between the tires and the road so that the automobile doesn't slip. d. If the automobile is going at 50.0 m/s, show that the automobile will not follow the curved road for the statis coefficient calculated in (c). e. If the road is banked by 350, what is the minimum speed the automobile should maintain. Assume that the road is frictionless. Which force provides centripetal force in the banked road