A $140-$kg object and a $440-kg$ object are separated by $4\mathrm{.}70$ 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.

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

$$ m from the $440$ kg mass toward the $140$ kg mass

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