The gravitational field in a region is given by `vecE=-(20Nkg^(-1))(hati+hatj)`. Find the gravitational potential at the origin `(0,0)` in `J kg^(-1)`
Text Solution
AI Generated Solution
To find the gravitational potential at the origin given the gravitational field \(\vec{E} = -20 \, \text{N/kg} \, \hat{i} - 20 \, \text{N/kg} \, \hat{j}\), we can follow these steps:
### Step 1: Understand the relationship between gravitational field and potential
The gravitational potential \(V\) is related to the gravitational field \(\vec{E}\) by the equation:
\[
V = -\int \vec{E} \cdot d\vec{r}
\]
This means we need to integrate the components of the gravitational field.
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