If an open cluster contains 450 stars and is 21 pc in diameter, what is the average distance between the stars? (Hint: On average, what share of the volume of the cluster surrounds each star? Note: The volume of a sphere is 4 3?r 3.)
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If an open cluster contains 450 stars and is 21 pc in diameter, what is the average distance between the stars? (Hint: On average, what share of the volume of the cluster surrounds each star? Note: The volume of a sphere is
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![If an open cluster contains 450 stars and is 21 pc in diameter, what is the average distance between the stars? (Hint: On average, what share of the volume of the cluster surrounds each star? _Note: The volume of a sphere is \(\frac{4}{3}\pi r^3\)._)
[Input Box] pc](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10987a05-6004-4fb1-8846-eb9d55f60d7e%2F75e71391-bc15-41c3-868d-dfde94606bf8%2F24368ig_processed.png&w=3840&q=75)
Given
Number of stars in an open cluster (n) = 450
Diameter of the cluster = 21 pc
The radius of the cluster () =
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- If an open cluster contains 350 stars and is 48 pc in diameter, what is the average distance between the stars? On average what, share of the volume of the cluster surrounds each star?Cluster Sizes. An open cluster is a collection of 10 to 1000 stars in a region about 25 pc in diameter. About how far apart are the stars in an open cluster in units of pc? (Hints: What share of the cluster's volume belongs to a single 4 Tr. Use the cited value for the maximum number of stars in your calculation.) star? The volume of a sphere is pc.Can you please help with Part 2 of 2? Thank you.
- If a giant molecular cloud is 38 pc in diameter and a shock wave can sweep through it in 6 million years, how fast is the shock wave going in kilometers per second? (Notes: 1 pc = 3.1 1013 km; 1 yr = 3.2 107 s.) answer in km/sSuppose two protostars form at the same time, one with a mass of 0.5MSunSun [Select ALL answers that are true in alphabetical order]A) The 10MSun protostar will have a smaller change in surface temperature during this phase than the 0.5MSun protostar.B) The 10MSun protostar will reach the main sequence cooler and fainter than the 0.5MSun protostar.C) The 10MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage.D) The 10MSun protostar will have a smaller change in luminosity during the sequence shown than the 0.5MSun protostar.E) The 10MSun protostar will be much more luminous than the 0.5MSun protostar.In the star clusters shown, which one is younger and why?
- If interstellar dust makes an RR Lyrae variable star look 7 magnitudes fainter than the star should, by how much will you over- or underestimate its distance? (Hint: Use the magnitude-distance formula d = 10 mv - Mv + 5)/5.) destimate dactual = Is your calculated value an over- or underestimate? O overestimate O underestimateHow many years? Thank you!The figure above shows a track on the H-R diagram corresponding to the evolution of a star like the one you’ve just considered. Six stages are numbered. Six stages of stellar evolution are listed below – for each stage, write the number corresponding to its position on the diagram (four of these stages are the same stages you considered in the first part of this tutorial). Horizontal branch: Asymptotic giant branch: White dwarf: Main sequence: Planetary nebula: Red giant branch: What is the approximate mass of this star, in solar masses? Explain how you can tell.
- If a contracting protostar is five times the radius of the sun and has a temperature of only 2000 K, how luminous will it be?The answer is not 0.04. I need help!Why is it that stars of greater mass (and thus possess more fuel for nuclear fusion) spend less time on the main sequence of the H-R diagram than their lower mass counterparts?