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Get Full Access to University Physics - 13 Edition - Chapter 13 - Problem 24e
Get Full Access to University Physics - 13 Edition - Chapter 13 - Problem 24e

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# Planet Vulcan. Suppose that a planet were discovered

ISBN: 9780321675460 31

## Solution for problem 24E Chapter 13

University Physics | 13th Edition

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Problem 24E

Planet Vulcan. Suppose that a planet were discovered between the sun and Mercury, with a circular orbit of radius equal to of the average orbit radius of Mercury. What would be the orbital period of such a planet? (Such a planet was once postulated, in part to explain the precession of Mercury’s orbit. It was even given the name Vulcan, although we now have no evidence that it actually exists. Mercury’s precession has been explained by general relativity.)

Step-by-Step Solution:

Solution 24E Step 1 Suppose, the planet mercury and the unknown planet are moving in an exact circular orbit around the sun. So, in the circular motion of the planet, we can write, the gravitational force = centripetal force That is, F =g c F = GMm/R 2 g Consider, this is the gravitational force acting on mercury by the sun. 2 The centripetal force would be, F = m R c Where, R - radius of the orbit of mercury - Angular velocity of the mercury m - Mass of the mercury M - Mass of the sun 2 2 Therefore, we can equate, GMm/R = m R Or, GM/R = 3 2 We know that, = 2/T Where, T - time period of the oscillation Then, GM/R = 4 /T 2 2 2 3 2 Rearranging, T /R = 4 /GM

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: mercury, planet, orbit, such, precession. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 24E from 13 chapter was answered, more than 675 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 24E from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “Planet Vulcan. Suppose that a planet were discovered between the sun and Mercury, with a circular orbit of radius equal to of the average orbit radius of Mercury. What would be the orbital period of such a planet? (Such a planet was once postulated, in part to explain the precession of Mercury’s orbit. It was even given the name Vulcan, although we now have no evidence that it actually exists. Mercury’s precession has been explained by general relativity.)” is broken down into a number of easy to follow steps, and 78 words.

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