Deimos, a moon of Mars, is about 12 km in diameter with mass 2.0 × 1015 kg. Suppose you are stranded alone on Deimos and want to play a one-person game of baseball. You would be the pitcher, and you would be the batter! (a) With what speed would you have to throw a baseball so that it would go into a circular orbit just above the surface and return to you so you could hit it? Do you think you could actually throw it at this speed? (b) How long (in hours) after throwing the ball should you be ready to hit it? Would this be an action-packed baseball game?
Solution to 23E Step 1 of 3 Introduction Let us consider that the height of the person is 6 foot. So to hit the ball perfectly, the height of the ball above surface should be at least half of the person’s height. Let us assume the height of the ball above surface as 1m which is equal to 3.28 foot. The ball will go on a circular orbit above the surface of the Deimos and will return to the person. Given data, Diameter of Deimos=12km 3 Radius=6 km=6x10 m 15 Mass of demios=2x10 kg Step 2 of 3 (a) Orbital velocity is represented as “v” Here R=6 km+1m=6001m v=4.7m/s This velocity is not large and the person can throw the ball easily.