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Concept explainers
If you represent Earth’s history by a line that is 1 m long, how long a segment would represent the 400 million years since life first moved onto the land? How long a segment would represent the 4-millionyear history of humanoid life?
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The length of the segment that would represent 400milliion years if the History of the Earth is represented by a line that is 1m long ,also find the length of the line that would represent the 4milliion years of humanoid life.
Answer to Problem 2P
The length of the segment for the history of the Earth is calculated as 8.8cm and the length of the segment for the history of the human life is 0.88mm.
Explanation of Solution
The expression to calculate the length of the line segment is,
L4.6×109years=lT (I)
Here, l is the length of the segment for Earth’s history, L is the length of the Earth’s history and T is the total time of the history of human life
The expression to calculate the length of the line segment is,
L4.6×109years=lhT (II)
Here, lh is the length for the time period of history of humanity.
Conclusion:
Substitute 1.0m for L and 400million years for T in equation (I) to find l
1.0m4.6×109years=l400million years1.0m4.6×109years=l(400million years×106years1million years)1.0m4.6×109years=l(400×106years)l=(1.0m)(400×106years)4.6×109years
Solve further as,
l=0.88×10−1×102cm1m=8.8cm
Substitute 1.0m for L and 4million years for T in equation (II) to find lh .
1.0m4.6×109years=lh400million years1.0m4.6×109years=lh(4million years×106years1million years)1.0m4.6×109years=lh(4×106years)lh=(1.0m)(4×106years)4.6×109years
Solve further as,
l=0.88×10−3m×1mm10−3m=0.88mm
Therefore, the length of the segment for the history of the Earth is calculated as 8.8cm and the length of the segment for the history of the human life is 0.88mm.
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