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The resultant of two forces acting at a point at right angles to each other is 32 pounds. If the horizontal force is 19 pounds, what is the other force to the nearest pound?

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6 votes

Answer:

The vertical force or the other force to the nearest pounds is 26 pounds

Explanation:

The resultant force,R = 32 pounds

The horizontal force, (x)= 19 pounds

The vertical force = y


\theta = angle between the vertical and horizontal forces.


R=√(x^2+y^2-2xy\cos 90^o)


32^2=19^2+y^2-2(19)y* 0


1024-361=y^2


y=√(663)=25.74\approx 26

The vertical force or the other force to the nearest pounds is 26 pounds

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