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The gravitational field in a region is g...

The gravitational field in a region is given by `vecE = (2hati+3hatj)` N/Kg. The workdone by the field when the particle is moved on the line 3y + 2x = 5

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To solve the problem, we need to find the work done by the gravitational field when a particle is moved along the line given by the equation \(3y + 2x = 5\). The gravitational field is represented by the vector \(\vec{E} = (2\hat{i} + 3\hat{j})\) N/kg. ### Step-by-Step Solution: 1. **Understand the Gravitational Field**: The gravitational field \(\vec{E}\) is given as \((2\hat{i} + 3\hat{j})\) N/kg. This means that the field has a component of 2 N/kg in the x-direction and 3 N/kg in the y-direction. 2. **Identify the Line of Motion**: ...
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