A $285-$kg object and a $585-$kg object are separated by $3\mathrm{.}60$ m$.$

$($a$)$ Find the magnitude of the net gravitational force exerted by these objects on a $65\mathrm{.}0-$kg object placed midway between them.

N

$($b$)$ At what position $($other than an infinitely remote one$)$ can the $65\mathrm{.}0-$kg object be placed so as to experience a net force of zero from the other two objects?

m from the $585$ kg mass toward the $285$ kg mass