CORRECT ANSWERS ARE BOLDED BELOW, SHOW WORK ON HOW TO GET THOSE ANSWERS PLZ! Cor

Question

CORRECT ANSWERS ARE BOLDED BELOW, SHOW WORK ON HOW TO GET THOSE ANSWERS PLZ!

Correct answers are 36) D and 38) A

Name Student ID Score Last First Use the scenario below for the next three questions. Suppose that planet X is in a circular orbit around star Y. The mass of planet X is the same as that of the earth, and the mass of star Y is 16 times that of the sun. The orbital radius of planet X is 4.0 times that of the earth's mean orbital radius. Consider only the interactions between star Y and planet X or between the sun and the earth, and ignore the effect of all the other astronomical bodies in the unive rse 36. If the gravitational force between the sun and the earth is FSE what is the gravitational force between the planet X and the star Y? A) 0.25 Fs B) 4.0 FsE C) 256 FSE D) Fse E) Not enough information is given. 37. NOT COVERED 38. What is the orbital period of planet X? A) 2.0 earth years B) 8.0 earth years C) 32 earth years D) 0.25 earth years E) Not enough information is given.

Explanation / Answer

36) FSE= GMS*ME/(R)^2

FXY = GMX*MY/(RX)^2 = GMS*ME*16/(4*4) = FSE

Correct option is (D)

37)

From keplers law

T^2 = (4pi^2*R^3)/(GMs)

Tx^2 = (4pi^2*Rx^3)/(GMy) =(4pi^2*R^3*4*4*4)/(GMs*16)

TX^2 = 4T^2

TX = 2T =2 earth years

correct option is (A)

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