Two objects with mass$$m$1=188$m$1=188$ kg and$$ m$2=427$m$2=427$ kg are fixed in place at a separation of$$D$=0\mathrm{.}290$D$=0\mathrm{.}290$ m$.$

bookmark$\_$border$1\mathrm{.}0$p$2$a

Find the magnitude of the net gravitational force $($in newtons$)$ exerted by these objects on a m$3=159$m$3=159$ kg object placed midway between them. Give your answer in millinewtons $($mN$).$

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bookmark$\_$border$1\mathrm{.}0$p$2$b

At an infinitely remote distance, the net gravitational force on the third mass from the first two masses$$will be zero. Choose True or False for the following statement: "there is a point$$at a finite distance$$along the straight line between m$1$m$1$ and m$2$m$2$where the net gravitational force on m$3$m$3$ will vanish".

Select an optionTrueFalse

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bookmark$\_$border$1\mathrm{.}0$p$2$c

At what distance from the object with$$mass m$1$m$1($along the straight line between m$1$m$1$ and m$2$m$2)$ would the net force on the third mass$$vanish$?$ Give your answer in meters, and answer $0$ if there is no such point.