- #1

Garlic

Gold Member

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1. Homework Statement

1. Homework Statement

In the solution of a question, regarding the gravitational force fields and gravitational potential when the mass is inside Earth (where the height of the mass is lower than the radius of earth), the step where we take the integral of the force in order to get the potential is not very clearly defined, and I have problems understanding why it looks like this:

Where does this blue marked term come from? Why isn't its integral being taken, like the term on the right?

Why can't we simply find the potential by just taking the integral of the force field (without the blue marked term)?

(Where the G

_{N}is the gravitation constant, R the radius of earth, m the mass of an object, and m

_{E}the mass of earth, r cap the unit vector of the r coordinate)

Thank you