$260-$kg object and a $560-$kg object are separated by $3\mathrm{.}50$ m$.$

$($a$)$ Find the magnitude of the net gravitational force exerted by these objects on a $48\mathrm{.}0-$kg object placed midway between them.

$($b$)$ At what position $($other than an infinitely remote one$)$ can the $48\mathrm{.}0-$kg object be placed so as to experience a net force of zero from the other two objects?

m from the $560$ kg mass toward the $260$ kg mass