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EC MasteringPhysics: Hw Hw Google Chrome https:// mastering physics.com View? assignment ProblemID 62357879&offset; next Session Physics 195 8AM Spring 2016 HW Ch13 Problem 13.66 Problem 13.66 Part A While visiting Planet Physics, you toss a rock straight up at What is the mass of Planet Physics? 11 m/s and catch it 2.4 s later. While you visit the surface, Express your answer to two significant figures and include the appropriate units. your cruise ship orbits at an altitude equal to the planet's radius every 200 min M Value Units Submit My Answers Give Up Part B What is the radius of Planet Physics? Express your answer to two significant figures and include the appropriate units. RE Value Units Submit My Answers Give Up HE Search the web and Windows Help Close Resources previous l 12 of 12 l return to assignment Provide Feedback Continue 7:47 PM 4/23/2016

Explanation / Answer

along vertical

initial velocity voy = 11 m/s

total displacement y = 0

acceleration a = -g

time = t = 2.4 s

from equation of motion

y = voy*t + 0.5*g*t^2

0 = 11*2.4 - 0.5*g*2.4^2

g = 9.17 m/s^2

g = GM/R^2

GM = g*R^2

for the space ship

time period T = 2*pi*r^(3/2)/sqrt(GM)

r = R + R = 2R

T = 2*pi*(2R)^(3/2)/(sqrt(g)*R)

200*60 = 2*pi*(2R)^(3/2)/(sqrt(9.17)*R)

R = 4.18*10^6 m

g = GM/R^2

M = gR^2/G

M = (9.17*(4.18*10^6)^2)/(6.67*10^-11)

M = 2.4*10^24 kg

part A)

M = 2.4*10^24 kg

part B)

Radius R = 4.18*10^6 m

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