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# CALC A thin, uniform rod has length L and mass M . A small ## Problem 32E Chapter 13

University Physics | 13th Edition

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Problem 32E

CALC A thin, uniform rod has length L and mass M . A small uniform sphere of mass ?m is placed a distance x from one end of the rod, along the axis of the rod (?Fig. E13.34?). (a) Calculate the gravitational potential energy of the rod–sphere system. Take the potential energy to be zero when the rod and sphere are infinitely far apart. Show that your answer reduces to the expected result when x is much larger than L. (?Hint: Use the power series expansion for ln (1 + x) given in Appendix B.) (b) Use Fx = -dU/dx to find the magnitude and direction of the gravitational force exerted on the sphere by the rod (see Section 7.4). Show that your answer reduces to the expected result when x is much larger than L.

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NEWTON: THE MIND THAT FOUND THE FUTURE ● different laws had to apply on earth and in the heavens ● science begins from theories or hypotheses that you have to prove ● in newton’s time, the gravity was in the apple ● all forces (including gravity) are between two objects, acting equally on both ○ newton’s 3rd law ● the natural path of a speeding object is...

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “CALC A thin, uniform rod has length L and mass M . A small uniform sphere of mass ?m is placed a distance x from one end of the rod, along the axis of the rod (?Fig. E13.34?). (a) Calculate the gravitational potential energy of the rod–sphere system. Take the potential energy to be zero when the rod and sphere are infinitely far apart. Show that your answer reduces to the expected result when x is much larger than L. (?Hint: Use the power series expansion for ln (1 + x) given in Appendix B.) (b) Use Fx = -dU/dx to find the magnitude and direction of the gravitational force exerted on the sphere by the rod (see Section 7.4). Show that your answer reduces to the expected result when x is much larger than L.” is broken down into a number of easy to follow steps, and 136 words. Since the solution to 32E from 13 chapter was answered, more than 374 students have viewed the full step-by-step answer. This full solution covers the following key subjects: rod, sphere, result, uniform, larger. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 32E from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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