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The greatest and least resultant of two forces are 7N and 3N respectively. If each force increased by 3N and applied at $60 °$ Magnitude of resultant is

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10N

$\sqrt{129} N$

answer is D.

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Detailed Solution

$\begin{array}{l} A + B = 7 \\ \underline{A - B = 3} \\ \underline{A = 5, B = 2} \end{array}$

New forces will be 8N and 5N.

Resultant

$R = \sqrt{8^{2} + 5^{2} + 2 (8) (5) \cos 60 °} = \sqrt{129} N$

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