central force is a no work force explain
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In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force.[a][1]
F
→
=
F
(
r
)
=
|
F
(
r
)
|
r
^
{\displaystyle {\vec {F}}=\mathbf {F} (\mathbf {r} )=\left\vert F(\mathbf {r} )\right\vert {\hat {\mathbf {r} }}}
where
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
r
^
\scriptstyle \hat{\mathbf{r}} = r/||r|| is the corresponding unit vector.
Not all central force fields are conservative or spherically symmetric. However, a central force is conservative if and only if it is spherically symmetric or rotationally invariant.
F
→
=
F
(
r
)
=
|
F
(
r
)
|
r
^
{\displaystyle {\vec {F}}=\mathbf {F} (\mathbf {r} )=\left\vert F(\mathbf {r} )\right\vert {\hat {\mathbf {r} }}}
where
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
r
^
\scriptstyle \hat{\mathbf{r}} = r/||r|| is the corresponding unit vector.
Not all central force fields are conservative or spherically symmetric. However, a central force is conservative if and only if it is spherically symmetric or rotationally invariant.
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