(a)
The mass of the nucleus of a comet with side length
(a)
Answer to Problem 47Q
Solution:
Explanation of Solution
Given data:
The side length of the comet’s nucleus is
Formula used:
Write the expression for density.
Here,
Write the expression for the volume for a cube.
Here,
Explanation:
Recall the expression for the mass density of the comet’s nucleus.
Rearrange the above expression for
Since the expression for the volume of the comet’s nucleus is
Substitute
Conclusion:
Hence, the mass of the nucleus of the comet is
(b)
The average density of the tail of the comet which has a length of
(b)
Answer to Problem 47Q
Solution:
Explanation of Solution
Given data:
The length of the tail is
Formula used:
Write the expression for density.
Here,
Explanation:
The mass of the comet’s nucleus was found in the previous part to be
Now, volume of the tail can be calculated as:
Here,
Substitute
Thus, recall the expression for the density of the tail.
Here,
Substitute
Conclusion:
Hence, the average density of the tail of the comet is
(c)
Whether the passing of the comet’s tail through Earth leads to harmful effects on the health of human beings.
(c)
Answer to Problem 47Q
Solution:
The tail of the comet does not affect the health of human beings on Earth.
Explanation of Solution
Introduction:
The air we breathe has a density of about
Explanation:
The density of the tail of the comet is
Conclusion:
Hence, the passing of the Earth through the comet’s tail is not harmful for human life.
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Chapter 15 Solutions
Universe
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- A sample from a meteorite that landed on Earth has been analyzed, and the results shows that out of every 1,000 nuclei of potassium- 40 originally in the meteorite, only 125 are still present, meaning they have no yet decayed. How old is the meteorite (in yr)? (Hint: see the figure below) (Note: The half life of potassium- 40 is 1.3 billion years.) _______ yrarrow_forwardPlease provide a clear and detailed explanation. Thank you.arrow_forwardA sample from a meteorite that landed on Earth has been analyzed, and the result shows that out of every 1,000 nuclei of potassium-40 originally in the meteorite, only 125 are still present, meaning they have not yet decayed. How old is the meteorite (in yr)? (Hint: See the figure below.) (Note: The half-life of potassium-40 is 1.3 billion years.) Figure Graph Bar charts A mineral sample containing radioactive atoms :, which decay into daughter atoms 100 Percentage of radioactive and daughter atoms in the mineral 50 100 Percentage of -radioactive atoms remaining Age in half-lives yr Percentage remainingarrow_forward
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