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IT wont accept my answer. Im following the steps from the book. Plz help Masteri

ID: 1650400 • Letter: I

Question

IT wont accept my answer. Im following the steps from the book. Plz help

MasteringPhysics: HW due 8/28 (Practice due to drop/add) Google Chrome a Secure | https://session.masteringphysics.com/myct/itemView?assignmentProblemlD-8322912:3 HW due 8 28 (Practi Problem 1.60 | ice due to dropladd) Problem 1.60 Ros;ources Part A Three honizontal ropes pull an a large stone stuck in the ground, producing the vector forces A, B, and C shown in the figure (Fiaure 1) Find the magnitude of a fourth force on the stone that will make the vector sum of the four forces zero. 124.23 Submit My Answes ive Up Incorrect; Try Again; 5 attempts remaining Figure 1 011 Part B Find the direction of a fourth force on the stone that will make the vector sum of the four forces zero. B (80.0 N) 30.0° A (100.0 N) 96.5 Pcounterclockwise frorm +a-axis 30.0 Submit My Answes ive Up 53.00o Incorrect; Try Again; 5 attempts remaining C (40.0 N) Continue

Explanation / Answer

A = 100 (cos30i + sin30 j) = 86.6i + 50j N

B = 80 ( - sin30i + cos30 j) = - 40i + 69.3j N

C = 40 ( - cos53i - sin53j) = - 24.1i - 31.9j N

and A + B + C + D = 0 { Given}

so 22.5i + 87.4 j + D = 0

D = - 22.5i - 87.4j


(A) magnitude = sqrt(22.5^2 + 87.4^2) = 90.2 N .........Ans


(B) Direction = 180 + tan^-1(87.4 / 22.5)

= 255 deg

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