The greatest and the least resultant of two forces acting at a point are 10N and 6N, respectively. If each force is increased by 3N and are acting at a point making an angle of 90o with each other. Find the resultant of new forces.
A
√146N
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B
√124N
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C
√188N
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D
√114N
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Solution
The correct option is A√146N Let →a,→b be two vectors of magnitudes a,b
Given, a+b=10 a−b=6
Adding the equations 2a=16 ⇒a=8,b=2
Now magnitude of each vector is increased by 3N a1=a+3=11N b1=b+3=5N
Given that new vectors act at 90o, so resultant is R=√a21+b21+2a1b1cos90o R=√112+52=√146N