Explanation:

a force field is a vector field that describes a non-contact force acting on a particle at VARIOUS POSITIONS in space. Specifically, a force field is a vector field {\displaystyle {\vec {F}}}{\vec {F}}, where {\displaystyle {\vec {F}}({\vec {x}})}{\vec {F}}({\vec {x}}) is the force that a particle WOULD feel if it were at the point {\displaystyle {\vec {x}}}{\vec {x}}

example:-

Gravity is the force of ATTRACTION between two objects. A gravitational force field models this influence that a massive body (or more generally, any quantity of energy) extends into the space around itself.

In Newtonian gravity, a particle of mass M creates a gravitational field {\displaystyle {\vec {g}}={\frac {-GM}{r^{2}}}{\HAT {r}}}{\vec {g}}={\frac {-GM}{r^{2}}}{\hat {r}}, where the radial unit vector {\displaystyle {\hat {r}}}{\hat {r}} points away from the particle. The gravitational force experienced by a particle of light mass m, close to the surface of Earth is given by {\displaystyle {\vec {F}}=m{\vec {g}}}{\vec {F}}=m{\vec {g}}, where g is the standard gravity.