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 the two forces \( A \) and \( B \) based on the given conditions. Let's break it down step by step.

### Step 1: Set up the equations based on the conditions
1. **Condition 1**: When the forces act in opposite directions, the resultant is 10 N. This can be expressed as:
\[ A - B = 10 \quad \text{(Equation 1)} \]

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