Two forces, while acting on particle in opposite directions,have the resultant of 10N. If they act at right angles to each other, the resultant is found to be 50N. Find the two forces?

Explanation

To solve the problem, we need to find two forces \( F_1 \) and \( F_2 \) based on the conditions given. Let's break it down step by step.

### Step 1: Understand the Problem
We have two forces acting on a particle:
1. When they act in opposite directions, the resultant force is \( 10 \, \text{N} \).
2. When they act at right angles to each other, the resultant force is \( 50 \, \text{N} \).

### Step 2: Set Up the Equations
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