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W10 Unit 5 Gravitatiom) Begin Date: 10/4/2017 12:00:00 AM-Due Date: 10/15/2017 1

ID: 1778626 • Letter: W

Question

W10 Unit 5 Gravitatiom) Begin Date: 10/4/2017 12:00:00 AM-Due Date: 10/15/2017 1159 00 PM End Date: 12/142017 12:0000 AM (10%) Problem 7: Planet A has mass 3M and radius R, while Planet B has mass 4M and radius 2R. They are separated by center-to-center distance 8R. A rock is released halfway between the planets centers at point O It is released from rest Ignore any motion of the planets SR 2R 4M Planet B Ctheexpetta.com 3M Planet A 33% Part (a) Enter an expression for the magnitude of the acceleration of the rock immediately after it is released, in terms of M, R. and Grade Sommary 100% Submissions Attempts remaining 1o detailed view 1|2| 3 per attempt) M + I give up Hints: 0%tion per hint Hants rmainang- Feedback:% deduction per feedback 33% Part (b) Calculate the magnitude of the rock's acceleration, in meters per second squared, for M·75x1023 kg and R-Olof m 33% Part (c) Toward which planet is the rock's acceleration directed?

Explanation / Answer

(a) Fnet = G (4M)m/(4R)^2 - G (3M)m/(4R)^2

Fnet = G M m/ 16 R^2

a = Fnet /m = G M / 16 R^2

to the right.

(B) a = (6.67 x 10^-11)(7.5 x 10^23)/ 16(4.3 x 10^6)^2

a = 0.169 m/s^2


(c) to the planet B