Question

What u does not change in the field central force

Answer 1

Answer:

In classical mechanics, a central force on an object is a force that is directed along the line joining the object and the origin[a][1]:

{\displaystyle {\vec {F}}=\mathbf {F} (\mathbf {r} )=F(\mathbf {r} ){\hat {\mathbf {r} }}} {\displaystyle {\vec {F}}=\mathbf {F} (\mathbf {r} )=F(\mathbf {r} ){\hat {\mathbf {r} }}}

where {\displaystyle \scriptstyle {\vec {\text{ F }}}} \scriptstyle \vec{ \text{ F } } is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and {\displaystyle \scriptstyle {\hat {\mathbf {r} }}} \scriptstyle \hat{\mathbf{r}} = r/||r|| is the corresponding unit vector.

Not all central force fields are conservative nor spherically symmetric. However, it can be shown that a central force is conservative if and only if it is spherically symmetric.

Answer 2

Refer the attachment above ..

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