Suppose That F Is an Inverse Square Force Field, That $\mathbf { F } = \frac { 4 \mathbf { r } } { | \mathbf { r } | ^ { 3 } }$

Short Answer

Suppose that F is an inverse square force field, that is, $\mathbf { F } = \frac { 4 \mathbf { r } } { | \mathbf { r } | ^ { 3 } }$ where $\mathbf { r } = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }$ Find the work done by F in moving an object from a point $P _ { 1 }$ along a path to a point $P _ { 2 }$ in terms of the distances $d _ { 1 }$ and $d _ { 2 }$ from these points to the origin.