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Question

Physics Question on laws of motion

The resultant of two forces acting at an angle of 120120^{\circ} is 10kg10\, kg wt and is perpendicular to one of the forces . That force is .......

A

103kgwt10\sqrt{3}\,kg\,wt

B

203kgwt20\sqrt{3}\,kg\,wt

C

10kgwt10 \,kg\, wt

D

103kgwt\frac {10} {\sqrt{3}}\,kg\,wt

Answer

103kgwt\frac {10} {\sqrt{3}}\,kg\,wt

Explanation

Solution

Here, tan30=13\tan 30^{\circ}=\frac{1}{\sqrt{3}} 13=x10\frac{1}{\sqrt{3}}=\frac{x}{10} x=103,kgwtx=\frac{10}{\sqrt{3}}, kg - wt