Four forces are acting on a particle simultaneously : 50N due east , 40 N due north , 30 N due west and 20 N due south . Calculate the resultant force on the particle .

Explanation

To solve the problem of finding the resultant force acting on the particle due to the four given forces, we can follow these steps:

### Step 1: Identify the Forces
We have four forces acting on the particle:
- \( F_1 = 50 \, \text{N} \) (due East)
- \( F_2 = 40 \, \text{N} \) (due North)
- \( F_3 = 30 \, \text{N} \) (due West)
- \( F_4 = 20 \, \text{N} \) (due South)
...