Question

what is the magnitude of electric force at A ​

Answer 1

Answer:

$ANSWER:</p><p>The resultant force is 29 N.</p><p>EXPLANATION:</p><p>The resultant of two forces are determined by the parallelogram rule as follows:</p><p>As the forces acting at different angle, so the resultant force will have magnitude related to the difference in the angle in which the incident forces were acted.</p><p>\text { Resultant }=\sqrt{F_{1}^{2}+F_{2}^{2}+2 F_{1} F_{2} \cos \left(\theta_{2}-\theta_{1}\right)}</p><p>Here F1 and F2 are the two forces acting and their respective angles are given as and </p><p>So the resultant force will be</p><p>\text { Resultant force }=\sqrt{(10)^{2}+(20)^{2}+2 *(10 * 20) \cos (60-30)}</p><p>\text { Resultant force }=\sqrt{100+400+400 \cos (30)}</p><p>\text { Resultant force }=\sqrt{500+\left(400 * \frac{\sqrt{3}}{2}\right)}</p><p>\text { Resultant force }=\sqrt{500+(200 * 1.732)}</p><p>\text { Resultant force }=\sqrt{846.4}</p><p>Thus, the resultant force is 29$