NEET Sprint · Prototype 1.1

Use the angle before substituting

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Question 1.1

Two forces of 10 N each act at an angle of 120°. What is the magnitude of their resultant?

10 N10 N120°R
Visual explanationSee why the answer works⌄
R² = 10² + 10² + 2(10)(10)cos120°

R² = 10² + 10² + 2(10)(10)cos120° = 200 − 100 = 100. Hence R = 10 N. The negative cosine reduces the resultant.