Question

The resultant of two forces of 30 N and 40 N acting at an angle of 90° with each other are

Answer 1

Answer:

50 Newton is the answer

Answer 2

Answer: 50 N

Explanation:

• To calculate the resultant of the two  forces acting at an angle we have the formulae as $F_{net}=\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}Cos\ \alpha }$
• Where $F_{1}$ and $F_{2}$ are the two forces and  $\alpha$ is the angle between them.
• Given,  $F_{1}$ = 30 N, $F_{2}$ = 40 N and   $\alpha$ = 90°.
• Putting the value in the above formulae we get,

         $F_{net}=\sqrt{30^{2}+40^{2}+2*30*40Cos\ \ 90 }$

                 = $\sqrt{900+1600+0}$

                 = $\sqrt{2500}$

                 = 50 N

• Hence, the resultant force is 50 N.

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