400 Universal GravitationP13.48The acceleration of an object at the center of the Earth dueto the gravitational force of the Moon is given byaGMd=Moon2At the point A nearest the Moon,MdrM+=−af2At the point B farthest from the Moon,MM−=+af2FIG. P13.48∆aa aGMdM=−=−−LNMMOQPP+1122For >>,∆aGM rdM==×−2111 1036. ms2Across the planet,∆∆ggag×=×−−2222 10980226 1067...ms22*P13.49Energy conservation for the two-sphere system from release to contact:−=−++−FHGIKJ−LNMOQPFHGIKJGmmRGmmrmvmvGmrRvvGm212121221212(a)The injected impulse is the final momentum of each sphere,mvmGmGmLNMOQPFHGIKJFHGIKJLNMOQP31221.(b)If they now collide elastically each sphere reverses its velocity to receive impulse
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .