Three people are pulling on ropes tied to a tire with forces of 100N,125N and 125N as shown below. Find magnitude and direction of the resultant force. (sin30=0.5 ;cos30=0.866 ;sin37=0.6 ;cos37=0.8)
Correct answer: A. 13.4 N to the left
- A. 13.4 N to the left
- B. 3.4 N to the right
- C. 125 N to the left
- D. 125 N to the right
Explanation
To find the resultant force, decompose each force into its horizontal and vertical components using trigonometric functions (sin and cos). Combine these components to find the total force in each direction. The resultant force is the vector sum of these components. In this case, after calculating and combining the components, the resultant force is 13.4 N to the left. The other options are incorrect because they either miscalculate the magnitude or incorrectly determine the direction of the resultant force.
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