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398_Physics ProblemsTechnical Physics

# 398_Physics ProblemsTechnical Physics - 400 P13.48...

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400 Universal Gravitation P13.48 The acceleration of an object at the center of the Earth due to the gravitational force of the Moon is given by aG M d = Moon 2 At the point A nearest the Moon, M dr M + = af 2 At the point B farthest from the Moon, M M = + a f 2 FIG. P13.48 aa aG M d M =− = L N M M O Q P P + 11 22 For >> , a GM r d M == × 2 111 10 3 6 . m s 2 Across the planet, g g a g × 2 222 10 980 226 10 6 7 . . . ms 2 2 *P13.49 Energy conservation for the two-sphere system from release to contact: −= −+ + F H G I K J L N M O Q P F H G I K J Gmm R Gmm r mv mv Gm rR vv G m 2 1 2 1 2 1 2 2 1 2 12 (a) The injected impulse is the final momentum of each sphere, mv m Gm Gm L N M O Q P F H G I K J F H G I K J L N M O Q P 3 1 2 2 1 . (b) If they now collide elastically each sphere reverses its velocity to receive impulse
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