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details please FIRL SEREEN PRINTER ES Chapter 13, Problem X8 1, ]Your answer is

ID: 1793246 • Letter: D

Question

details please

FIRL SEREEN PRINTER ES Chapter 13, Problem X8 1, ]Your answer is partially correct. Try again. A planet requires 350 (Earth) days to complete its circular orbit around its sun, which hes a mass o61·1000 kg.inatie ne planets (a) Number11459596.36 (b) Number ritarrasandi) ntasma Units T m Units [ m/s 149441.48 SHOW HINT LINK TO SAMPLE PROBLEM MATH HELP LINK TO TEXT sAVE FOR LATERSUB Question Attempts: 7 of 10 used dy All Rights Reserved. A Division of John Wiley &Sons; Inc vacy Policy I

Explanation / Answer

here,

time period , T = 350 days

mass of planet , mp = 6.1 * 10^30 kg

mass of sun , ms = 2 * 10^30 kg

let the orbital radius be r

a)

time period , T = 2 * pi * sqrt(r^3 /( G * ms))

350 * 24 * 3600 = 2 * pi * sqrt(r^3/(6.67 * 10^-11 * 2 * 10^30))

solving for r

r = 1.46 * 10^11 m

b)

the orbital speed , v = sqrt(G * ms /r)

v= sqrt(6.67 * 10^-11 * 2 * 10^30/( 1.46 * 10^11))

v = 3 * 10^4 m/s