Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If F1 "' 500 N and F2 = 350 N, determine the vector expression for the resultant R of the two forces. Then determine the magnitude of the resultant and the angle which it makes with the positive x-axis.

Explanation:

The formula for calculating resultant of of two forces is expressed as:

R = √F1²+F2²

R = √500²+350²

R = √250000+122500

R = √372500

R = 610.33N

The resultant of the two forces is 610.33N

To calculate the angle between the forces, we will use the formula;

Tan(theta) = 350/500

Tan(theta) = 0.7

Theta = tan^-1(0.7)

Theta = 34.99°

The angle it makes with the x axis will be 180-34.99 = 145°

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