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FIle Edit View History Bookmarks People Window Help MasteringPhysics: Chapter 1 Secure https://session.masteringphysics.com/myct/itemView?assignmentProblemIDa75694783 signed in as dalal alaneal Help ckse General Physics I (phys 101 section 52 Dr. Hassan Raf... Resourons Chapter 1 Problem 1.60 previous l 5 of 9 l next Problem 1.60 90.2 N Three horizontal ropes pull on a large stone stuck in the ground, producing the vector foroes A, B, and C My Answers Give up in the figure (Figure 1) Correct Significant Figures Feedback: Your answer 90.12 was either rounded differenty or used a different number of significant figures than required for this part. Figure 1 Oof 1 Part B Find the direction of a fourth force on the stone that wil make the vector sum of the four forces B (80.0 N) 30.0° A (00.0 N) counterclockwise from +z axis 300 x Subrnt My Answers Up 53.00 Incorrect: Try Again: 2 attempts remaining C (40.0 N) Continue

Explanation / Answer

A = 100 (cos30 i + sin30 j) = 86.6 i + 50j N

B = 80( - sin30 i + cos30j) = - 40i + 69.28j N

C = 50(-cos53i - sin53 j) = - 30i - 40j N

Now we want 4th vector D such as

A + B + C + D = 0

(86.6 i + 50j ) + ( - 40i + 69.28j ) + (- 30i - 40j ) + D = 0

D = - 16.6i - 79.8j N

direction = 180 + tan^-1(79.8 / 16.6) = 258.25 deg

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