A $160-$kg object and a $460-$kg object are separated by $3\mathrm{.}70$ m $.$

$($a$)$ Find the magnitude of the net gravitational force exerted by these objects on a $41\mathrm{.}0-$kg object placed midway between them.

Draw a picture of the three objects, including the forces exerted on the third. N

$($b$)$ At what position $($other than an infinitely remote one$)$ can the $\backslash (41\mathrm{.}0-\backslash$mathrm$\{$kg$\}\backslash )$ object be placed so as to experience a net force of zero from the other two objects?

$-$ m from the $460$ kg mass toward the $160$ kg mass