Under the action of a force `vec(F) = (3x) hat(i) N ` , a particle is moving in anticlockwise direction is a square loop of side 3m in x - y plane . What will be the total amount of work done ?

Explanation

To find the total work done by the force \(\vec{F} = 3x \hat{i}\) on a particle moving in an anticlockwise direction along a square loop of side 3 m in the x-y plane, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Path of Motion**:
The particle moves in an anticlockwise direction around a square loop with vertices at (0,0), (3,0), (3,3), and (0,3).

2. **Divide the Path into Segments**:
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