The gravitational field in a region is given by `vecE=(10Nkg^-1)(veci+vecj)`. Find the work done by an external agent to slowly shift a particle of mass 2 kg from the point (0,0) to a point (5m,4m)`

Explanation

To solve the problem of finding the work done by an external agent to slowly shift a particle of mass 2 kg from the point (0,0) to the point (5m,4m) in a gravitational field given by \(\vec{E} = (10 \, \text{N/kg})(\hat{i} + \hat{j})\), we can follow these steps:

### Step 1: Understand the Gravitational Field
The gravitational field \(\vec{E}\) is given as:
\[ \vec{E} = 10 \, \text{N/kg} \, (\hat{i} + \hat{j}) \]
This means that the gravitational field has components of \(10 \, \text{N/kg}\) in both the x-direction and y-direction.
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