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Scalar Potential

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Please see the attached file for the adequate depiction of the scalar problem.

A conservative force F can be written as F = -[upside down triangle]*phi symbol, where the phi symbol is called a scalar potential. Calculate the scalar potential for the gravitational force F = -k*abs. r/r^(2).

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This solution calculates the scalar potential for the given gravitational force.

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Please see the attached file for a detailed solution with the adequate symbols for the answers given below.

Solution:

The vector field F is given by:
vector F = -k*vector r/r^(3), k = constant (1)
[Note: There is a mistake in the problem statement- at the denominator of F it is r^3 instead of r^2]
Since F = -[upside down triangle]*phi symbol, ...

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