Question

Example 4. Two forces of 5 N and 7 N act on a particle
with an angle of 60° between them. Find the resultant force.​

Answer 1

Given:

Two force of 5N and 7N acts on a particle with an angle of 60degree between them

$\purple{\huge{\bold{\mathcal{Answer}}}}$

let

f1=5N

f2=7N

angle(theta)=60degree

using the formula

$r = \sqrt{(f1) {}^{2} + (f2) {}^{2} + 2(f1)(f2) \cos(60) } \\ r = \sqrt{5 {}^{2} + 7 {}^{2} + 2(5)(7)( \frac{1}{2} )} \\ r = \sqrt{25 + 49 + 35} \\ r = \sqrt{109}$