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Find the resultant force

Find The Resultant Force class=

Sagot :

Sqdancefanidn

951 1404 393

Answer:

  61.03 N at 35° above the horizontal

Step-by-step explanation:

The forces operate at right angles, so the Pythagorean theorem can be used to find the magnitude of the resultant:

  ||F1 +F2|| = √(50² +35²) = √3725 ≈ 61.03 . . . . newtons

The angle (α) relative to F2 can be found using the tangent relation.

  tan(α) = 50/35

  α = arctan(50/35) ≈ 55.008°

Then the angle relative to the horizontal reference line is ...

  55.0° -20° = 35.0°

The resultant is about 61.03 N at an angle of 35° above the horizontal.

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