Astronomers believe that the universe is expanding and that stellar objects are moving away from us at a radial velocity V proportional to the distance D from Earth to the object. (a) Write V as a function of D using H as the constant of proportionality. (b) The equation in part (a) was first discovered by Edvin Hubble in 1929 and is knovn as Hubble's law. The constant of proportionality H is known as Hubble's constant. The currently accepted value of Hubble's constant is 70 kilometers per second per megaparsec. (One megaparsec is about 3.086 x 1019 kilometers.) With these units for H, the distance D is measured in megaparsecs, and the velocityV is measured in kilometers per second. The galaxy G2237 + 305 is about 122.7 megaparsecs from Earth. Hov fast is G2237 + 305 receding from Earth? km/sec (e) One important feature Hubble's constant is that scientists use it to estimate the age of the universe. The approximate relation is 1012 where y is time in years. Hubble's constant is extremely difficult to measure, and Edvin Hubble's best estimate in 1929 was about 530 kilometers per second per megaparsec. What is the approximate age of the universe when this value of H is used? (Round your answer to one decimal place.) billion yr (d) The calculation in part (c) would give scientists some concern since Earth is thought to be about 4.6 billion years old. What estimate of the age of the universe does the more modern value of 70 kilometers per second per megaparsec give? (Round your answer to one decimal place.) billion yr
Astronomers believe that the universe is expanding and that stellar objects are moving away from us at a radial velocity V proportional to the distance D from Earth to the object. (a) Write V as a function of D using H as the constant of proportionality. (b) The equation in part (a) was first discovered by Edvin Hubble in 1929 and is knovn as Hubble's law. The constant of proportionality H is known as Hubble's constant. The currently accepted value of Hubble's constant is 70 kilometers per second per megaparsec. (One megaparsec is about 3.086 x 1019 kilometers.) With these units for H, the distance D is measured in megaparsecs, and the velocityV is measured in kilometers per second. The galaxy G2237 + 305 is about 122.7 megaparsecs from Earth. Hov fast is G2237 + 305 receding from Earth? km/sec (e) One important feature Hubble's constant is that scientists use it to estimate the age of the universe. The approximate relation is 1012 where y is time in years. Hubble's constant is extremely difficult to measure, and Edvin Hubble's best estimate in 1929 was about 530 kilometers per second per megaparsec. What is the approximate age of the universe when this value of H is used? (Round your answer to one decimal place.) billion yr (d) The calculation in part (c) would give scientists some concern since Earth is thought to be about 4.6 billion years old. What estimate of the age of the universe does the more modern value of 70 kilometers per second per megaparsec give? (Round your answer to one decimal place.) billion yr
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Astronomers believe that the universe is expanding and that stellar objects are moving away from us at a radial velocity V proportional to the distance D from Earth to the object.
(a) Write V as a function of D using H as the constant of proportionality.
V =
(b) The equation in part (a) was first discovered by Edwin Hubble in 1929 and is known as Hubble's law. The constant of proportionality H is known as Hubble's constant. The currently accepted value of Hubble's constant is 70 kilometers per second
per megaparsec. (One megaparsec is about 3.086 x 1019 kilometers.) With these units for H, the distance D is measured in megaparsecs, and the velocity V is measured in kilometers per second. The galaxy G2237 + 305 is about
122.7 megaparsecs from Earth. How fast is G2237 + 305 receding from Earth?
km/sec
(c) One important feature of Hubble's constant is that scientists use it to estimate the age of the universe. The approximate relation is
1012
where y is time in years. Hubble's constant is extremely difficult to measure, and Edwin Hubble's best estimate in 1929 was about 530 kilometers per second per megaparsec. What is the approximate age of the universe when this value of H is
used? (Round your answer to one decimal place.)
billion yr
(d) The calculation in part (c) would give scientists some concern since Earth is thought to be about 4.6 billion years old. what estimate of the age of the universe does the more modern value of 70 kilometers per second per megaparsec give?
(Round your answer to one decimal place.)
billion yr
Expert Solution
Step 1
(a)
The relation between radial velocity and distance using Hubble's constant will be given by;
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