You must show all work and circle your final answer. 1. A typical CD is 12.0 cm in diameter. The edge of the CD travels approximately 1.3 m/s while in usc. (a) What is the centripetal acceleration of the outer edge of the CD at this speed? (b) How many times the value of g is this? 2. The Earth is 6.0 x 1024 kg in mass and 6.4 x 10 m in radius. (a) Use those values to approximate g, the acceleration due to gravity, on the surface of the earth. (b) Suppose you were to climb to the top of Mt. Everest, about 8.8 x 105 m above the rest of Earth's surface. What would the value of g be there? (c) To what elevation would you need to go to reduce your effective g to 9.0 m/s?? 3. Given that it takes one year for the Earth to orbit the Sun and that its distance from Earth is 1.0 AU, find: (a) The length of one orbital period of Jupiter, which orbits 5.0 AU from the Sun (b) The distance from the Sun to Saturn, which completes one orbit every 29.5 years. 4. A 22 kg child in a playground swing reaches a velocity of 4.0 m/s at the moment they're at the bottom of the swing (when the swing is completely vertical). The swing is suspended from a point 2.0 m above the child's center of mass. (a) Draw a free body diagram for the child at the bottom of the swing. (b) What is the direction and magnitude of the centripetal acceleration when the child is at the low point of the swing? (c) What is the magnitude of the force the child exerts on the seat when the swing is at its low point? (d) Suppose the maximum force the swing can support is 1500 N. How massive a person could use this swing at this speed without breaking it