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MasteringPhysics: CHAPTER 13-Google Chrome https://session masteringphysics.com/

ID: 1998685 • Letter: M

Question

MasteringPhysics: CHAPTER 13-Google Chrome https://session masteringphysics.com/myct/itemview?offset nextBassignmentProbl 67137960 PHYSICS 241 FALL 2016 Signed in as Rakeem staggera Hes HAPTER 13 Problem 13.40 Resources previous l 7 of 7 I return to assignm Problem 13.40 Part A Four identical masses of mass 700 kg each are What is the magnitude of the net gravitational force on placed at the corners of a square whose side one of the masses, due to the other three? lengths are 13.0 cm. My Answers Give up Submit Part B What is the direction of the net gravitational force on one of the masses, due to the other three? toward the center of the square outward the center of the square Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

magnitude of force by masses on adjacent corners= Gm1m2 / r^2

= 6.67*10^-11*700*700 / 0.13^2

= 1.93*10^-3 N

magntide of force by diagonally opposite mass = 6.67*10^-11*700*700 / 0.13^2 + 0.13^2

= 9.6*10^-4 N

Force in x- direction = 1.93*10^-3 + 9.6*10^-4 cos 45 = 2.6*10^-3 N

Force in y- direction = 1.93*10^-3 + 9.6*10^-4 sin 45 = 2.6*10^-3 N

Net force = sqrt(2.6^2 + 2.6^2) * 10^-3 = 3.68*10^-3 N

b) outward the centre of square