The unexplored planet Alpha Centauri III has a radius of 7.0 x10° m. A visiting
ID: 1573787 • Letter: T
Question
The unexplored planet Alpha Centauri III has a radius of 7.0 x10° m. A visiting astronaut drops a rock, from rest, into a 200-m-deep crevasse. She records that it takes 6.0 s for the rock to reach the bottom Part A What is the mass of Alpha Centauri II? Express your answer with the appropriate units MasteringPhysics: Hw3b-Google Chrome Secure l https://session.masteringphysics.com/myct/i.. Submitted Answers ANSWER 1: Deduction:-3% M= | 1.666-1023 1 kg Submit Pre vious Answers Request Answer M= 1054-1016 kg Incorrect; Try Again: 4 attempts remaining ANSWER 2: Deduction:-3% | M= 1.666-1023kg vide Feedback Return to Current ItemmExplanation / Answer
consider the motion of the rock
vo = initial velocity = 0 m/s
Y = displacement = depth travelled = 200 m
g = acceleration due to gravity = ?
t = time of travel = 6 sec
using the equation
Y = vo t + (0.5) a t2
200 = (0) (6) + (0.5) g (6)2
g = 11.1 m/s2
R = radius of the planet = 7 x 106 m
M = mass of the planet
acceleration due to gravity is given as
g = GM/R2
11.1 = (6.67 x 10-11) M/(7 x 106)2
M = 8.2 x 1024 kg
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