Question

re moving or not. represent their movement with
direction. (3 marks each)
left 20n, 45n — right
45 - 20 = 25n (right)
up 35n 50n — down
50 - 35 = 15n (down)
\sqrt{25 + 15}

Explanation:

Step1: Correct the formula (Pythagorean theorem)

The resultant force of two perpendicular forces \( F_x \) (horizontal) and \( F_y \) (vertical) is given by \( F = \sqrt{F_x^2 + F_y^2} \), not \( \sqrt{F_x + F_y} \). Here, \( F_x = 25N \) (right) and \( F_y = 15N \) (down). So we should calculate \( \sqrt{25^2 + 15^2} \).

Step2: Calculate \( 25^2 \) and \( 15^2 \)

\( 25^2 = 625 \), \( 15^2 = 225 \)

Step3: Sum the squares

\( 625 + 225 = 850 \)

Step4: Take the square root

\( \sqrt{850} \approx 29.15N \) (the direction can be found using trigonometry, but for magnitude, we calculate this)

Answer:

The correct magnitude of the resultant force is approximately \( 29.15N \) (the initial formula in the image was incorrect; it should use the Pythagorean theorem with the squares of the forces, not the sum of the forces).