In January 2217 Super Bowl CCLI is planned to take place on an asteroid. Since s
ID: 803714 • Letter: I
Question
In January 2217 Super Bowl CCLI is planned to take place on an asteroid. Since such an endeavor requires planning much in advance, as an outstanding student in PEP 151 you are asked to help the NFL in picking up a suitable asteroid. In this problem you can assume that asteroid is a roughly circular body of the average density rho = 2800kg/m^3. To make the event more fun. the NFL Commissioner requires such an asteroid which has the orbital speed at the surface equal to the release speed of the ball thrown by a quarterback, which is 50 mph for a quick pass [2|. What is the radius of such an asteroid ? What would be the orbiting period of the football on such an asteroid? Can you find a roughly suitable asteroid from the list of asteroids - you can use e.g. http://en.wikipedia.org/wiki/List_of_Solar_System_objects_by_size. Playing the game on such an asteroid can present a problem for kicking and punting. A punt can easily have a speed in excess of 90 mph. If the ball is punted vertically up. would it ever come back to the asteroid? Or would it go out [3]? If the ball from part (b) were not punted vertically up, but at some finite angle (or even horizontally), would your conclusion be any different? Why?Explanation / Answer
1. The astroid which can be used in the NFL is 243 Ida astroid.The radius of the astroid is around 16 to 17 KM.The density of the astroid is nealry 2700kg per metre cube.
2.The escape velocity of the astroid is about 72 km per hour.If the ball is punted vertically up with more than 72km per houer speed i.e 90 km/hr the ball would not come back to astroid.
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