Question

Calculate the angle between a 4 newton force and a 5 Newton force for their resultant to be 7 Newton

Answer 1

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Q) Calculate the angle between a 4 newton force and a 5 Newton force for their resultant to be 7 Newton

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Answer:-

• Let the two force vectors be A and B and the resultant vector be R

So, A = 4 Newton

B = 5 Newton

R = 7 Newton

• According to the formula for square of resultant vector:

R² = A² + B² + 2ABcosØ (where Ø is the angle between two vectors)

So,

7² = 4² + 5² + 2×4×5× cosØ

49 = 16 + 25 + 40 × cos Ø

49 - 41 = 40cos Ø

8/40 = cos Ø

cos Ø = 1/5

hence, value of Ø = cos−¹ 1/5

• For the resultant force to be 7 Newton than angle between the two force vectors should be cos−¹ 1/5

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Hope this helped with your doubt :)