The gravitational field in a region is given by `E = (2 hati + 3 hatj) N//kg`.
Find the work done by the gravitational filed when a particle of mass `1 kg` is moved on the line `3y+ 2X = 5` from `(1 m,1m)` to `(-2 m, 3m)`.

Explanation

To solve the problem of finding the work done by the gravitational field when a particle of mass 1 kg is moved along the line \(3y + 2x = 5\) from the point \((1 \, \text{m}, 1 \, \text{m})\) to \((-2 \, \text{m}, 3 \, \text{m})\), we can follow these steps:

### Step 1: Identify the Gravitational Field
The gravitational field is given as:
\[ \mathbf{E} = 2 \hat{i} + 3 \hat{j} \, \text{N/kg} \]

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