6.96 X 10 km) Use this result to compute the approOximate period of the Sun's rotation. (R. 13-2. The gravitational potential energy U of a self-gravitating spherical body of mass M and radius R is a function of the details of the mass distribution. For the Sun U, = -2GM²/R. What would be the approximate lifetime of the Sun, radiating at its present rate, if the source of its emitted energy were entirely derived from gravitational contraction? (M. = 1.99 × 1030 kg)

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Chapter1: Units, Trigonometry. And Vectors
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please answer the second question only. thank you.

Problems
Level I
Section 13-1 The Sun
13-1. Measurement of the Doppler shift of spectral lines in light from the east and west limbs
of the Sun at the solar equator reveal that the tangential velocities of the limbs differ by 4 km/s.
Use this result to compute the approximate period of the Sun's rotation. (R. = 6.96 × 10° km)
13-2. The gravitational potential energy U of a self-gravitating spherical body of mass M and
radius R is a function of the details of the mass distribution. For the Sun U.
What would be the approximate lifetime of the Sun, radiating at its present rate, if the source of
its emitted energy were entirely derived from gravitational contraction? (M. = 1.99 × 1030 kg)
-2GM/R.
Transcribed Image Text:Problems Level I Section 13-1 The Sun 13-1. Measurement of the Doppler shift of spectral lines in light from the east and west limbs of the Sun at the solar equator reveal that the tangential velocities of the limbs differ by 4 km/s. Use this result to compute the approximate period of the Sun's rotation. (R. = 6.96 × 10° km) 13-2. The gravitational potential energy U of a self-gravitating spherical body of mass M and radius R is a function of the details of the mass distribution. For the Sun U. What would be the approximate lifetime of the Sun, radiating at its present rate, if the source of its emitted energy were entirely derived from gravitational contraction? (M. = 1.99 × 1030 kg) -2GM/R.
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