The greatest and least resultant of two force acting on a particle are 16 N and 9N, respectively . If the first force is double and the second force is incresed by 5.5N, calculate the resultant of two new force, acting at right angle to each other .

Explanation

To solve the problem step by step, we will follow the given information and apply the principles of vector addition.

### Step 1: Identify the Forces
We know that the greatest resultant \( R_{\text{max}} \) of two forces \( F_1 \) and \( F_2 \) is 16 N, and the least resultant \( R_{\text{min}} \) is 9 N.

### Step 2: Use the Resultant Formulas
The maximum and minimum resultant of two forces can be expressed as:
- \( R_{\text{max}} = F_1 + F_2 \)
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