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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Suppose the mass of the Sun is suddenly doubled, but the

Chapter 12, Problem 101IP

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QUESTION:

Problem 101IP

Suppose the mass of the Sun is suddenly doubled, but the Earth's orbital radius remains the same. (a) Would the length of an Earth year increase, decrease, or stay the same? (b) Find the length of a year for the case of a Sun with twice the mass. (c) Suppose the Sun retains its present mass, but the mass of the Earth is doubled instead. Would the length of the year increase, decrease, or stay the same?

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QUESTION:

Problem 101IP

Suppose the mass of the Sun is suddenly doubled, but the Earth's orbital radius remains the same. (a) Would the length of an Earth year increase, decrease, or stay the same? (b) Find the length of a year for the case of a Sun with twice the mass. (c) Suppose the Sun retains its present mass, but the mass of the Earth is doubled instead. Would the length of the year increase, decrease, or stay the same?

ANSWER:

Solution 101IP:

Step 1 of 3:-

Here we need to show that, whether the length of one earth year would increase, decrease or remains the same.

According to Kepler’s 3rd law,

.

By Newton’s work we can derive the constant “k” as,

-----------------------(1)

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