Question

Two forces of magnitude \(8\ \text{N}\) and \(6\ \text{N}\) act at a point making an angle of \(90^\circ\) between them. The magnitude of resultant force is:

• A. \(10\ \text{N}\)
• B. \(2\ \text{N}\)
• C. \(13\ \text{N}\)
• D. \(9\ \text{N}\)

Hint:

For two perpendicular forces, resultant is \(R=\sqrt{F_1^2+F_2^2}\).

Answer 1

The Correct Option is A

Concept:
When two forces act at right angle, the resultant is calculated using Pythagoras theorem. \[ R=\sqrt{F_1^2+F_2^2} \]

Step 1: Write given forces. \[ F_1=8\ \text{N} \] \[ F_2=6\ \text{N} \]

Step 2: Apply formula. \[ R=\sqrt{8^2+6^2} \] \[ R=\sqrt{64+36} \] \[ R=\sqrt{100} \] \[ R=10\ \text{N} \] \[ \therefore \text{Correct Answer is (A)} \]