The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the formula below where M is solar masses and E is solar lifetimes. E = M-2.5 The sun is thought to be at the middle of its life, with a total life expectancy of about 10 billion years. Thus, the value E = 1 corresponds to a life expectancy of 10 billion years. (a) Does a more massive star have a longer or a shorter life expectancy than a less massive star? O longer Ⓒshorter (b) Spica is a main-sequence star that is about 7.3 solar masses. What is the life expectancy of Spica? (Round your answer to three decimal places.) 0.000602 x billion yr (c) Express using functional notation the life expectancy of a main-sequence star with mass equal to 3.5 solar mass. (Round your answers to one decimal place.) E 3.5 Calculate that value. 0.04363 x billion yr (d) Vega is a main-sequence star that is expected to live about 6.36 billion years. What is the mass of Vega? (Round your answer to two decimal places.) X solar masses (e) If one main-sequence star is three times as massive as another, how do their life expectancies compare? (Round your answer to two decimal places.) The life expectancy of the larger star is Xtimes that of the smaller.
The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the formula below where M is solar masses and E is solar lifetimes. E = M-2.5 The sun is thought to be at the middle of its life, with a total life expectancy of about 10 billion years. Thus, the value E = 1 corresponds to a life expectancy of 10 billion years. (a) Does a more massive star have a longer or a shorter life expectancy than a less massive star? O longer Ⓒshorter (b) Spica is a main-sequence star that is about 7.3 solar masses. What is the life expectancy of Spica? (Round your answer to three decimal places.) 0.000602 x billion yr (c) Express using functional notation the life expectancy of a main-sequence star with mass equal to 3.5 solar mass. (Round your answers to one decimal place.) E 3.5 Calculate that value. 0.04363 x billion yr (d) Vega is a main-sequence star that is expected to live about 6.36 billion years. What is the mass of Vega? (Round your answer to two decimal places.) X solar masses (e) If one main-sequence star is three times as massive as another, how do their life expectancies compare? (Round your answer to two decimal places.) The life expectancy of the larger star is Xtimes that of the smaller.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the formula below where M is solar masses and E is solar lifetimes.
E = M2.5
The sun is thought to be at the middle of its life, with a total life expectancy of about 10 billion years. Thus, the value E = 1 corresponds to a life expectancy of 10 billion years.
(a) Does a more massive star have a longer or a shorter life expectancy than a less massive star?
O longer
Ⓒshorter
(b) Spica is a main-sequence star that is about 7.3 solar masses. What is the life expectancy of Spica? (Round your answer to three decimal places.)
0.000602
x billion yr
(c) Express using functional notation the life expectancy of a main-sequence star with mass equal to 3.5 solar mass. (Round your answers to one decimal place.)
E(3.5
Calculate that value.
0.04363
x billion yr
(d) Vega is a main-sequence star that is expected to live about 6.36 billion years. What is the mass of Vega? (Round your answer to two decimal places.)
Xsolar masses
(e) If one main-sequence star is three times as massive as another, how do their life expectancies compare? (Round your answer to two decimal places.)
The life expectancy of the larger star is
x times that of the smaller.
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