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719_Physics ProblemsTechnical Physics

# 719_Physics ProblemsTechnical Physics - Chapter 25 P25.26...

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Chapter 25 59 P25.26 Consider the two spheres as a system. (a) Conservation of momentum: 0 1 1 2 2 = + m v m v ± ± i i e j or v m v m 2 1 1 2 = By conservation of energy, 0 1 2 1 2 1 2 1 1 2 2 2 2 1 2 1 2 = = + + + k q q d m v m v k q q r r e e b g b g and k q q r r k q q d m v m v m e e 1 2 1 2 1 2 1 1 2 1 2 1 2 2 1 2 1 2 + = + v m k q q m m m r r d v v m v m e 1 2 1 2 1 1 2 1 2 1 9 6 6 3 2 1 1 2 2 1 1 2 0 700 8 99 10 2 10 3 10 0 100 0 800 1 8 10 1 1 00 10 8 0 100 0 700 1 55 = + + F H G I K J = × × × × F H G I K J = = = = b g b g e je je j b gb g b g . . . . . . . . . kg N m C C C kg kg m m m s kg 10.8 m s kg m s 2 2 (b) If the spheres are metal, electrons will move around on them with negligible energy loss to place the centers of excess charge on the insides of the spheres. Then just before they touch, the effective distance between charges will be less than r r 1 2 + and the spheres will really be moving faster than calculated in (a) . P25.27 Consider the two spheres as a system. (a) Conservation of momentum: 0 1 1 2 2 = + m v m v ± ± i i e j or v m v m 2 1 1 2 = . By conservation of energy, 0 1 2 1 2 1 2 1 1 2 2 2 2 1 2 1 2 = = + +
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