a.
Period of Moon in months for the given changes.
a.
Answer to Problem 94A
New period of Moon is 0.707 months.
Explanation of Solution
Given:
Moon’s original period is one month.
Mass of Earth is doubled.
Formula used:
Time period is given as
Calculation:
It is given that mass is doubled but radius remains the same.
So, time period will be,
It is observed that time get reduced by a factor of
Since period is 1 month so reduced period will be
Conclusion:
Therefore, time period will be 0.707 months.
b.
Location of satellite.
b.
Answer to Problem 94A
Location of satellite will be
Explanation of Solution
Given:
Moon’s original period is one month.
Mass of Earth is doubled.
Formula used:
Time period is given as
Calculation:
Rearrange the time period formula,
As,
So,
Hence,
Conclusion:
Therefore, the location of satellite will be
c.
Effect on length of year on Earth.
c.
Answer to Problem 94A
The length of year on Earth will not change.
Explanation of Solution
Given:
Moon’s original period is one month.
Mass of Earth is doubled.
Formula used:
Orbital period of earth around the sun is given by relation
Here,
Calculation:
As, for the earth the revolution period around sun is
In this relation the period is independent of earth mass.
So on doubling the earth mass, there is no effect on the revolution period.
Hence length of year is unaffected.
Conclusion:
As revolution period of Earth is independent of Earth’s mass. So, the length of year on Earth will not change.
Chapter 7 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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