Two spherical masses m$1=3\mathrm{.}50$ g and m$2=5\mathrm{.}50$ g are located at coordinates

$(7\mathrm{.}00,5\mathrm{.}25)$ cm

and $(3\mathrm{.}00,4\mathrm{.}00)$ cm$,$ respectively.

$($a$)$ What is the gravitational field at the origin? Express your answer in vector form.

g $=$

Review vector form of the expression for the gravitational field. Did you consider the appropriate signs for each of the components of the field? m$/$s$2$

$($b$)$ What is the force experienced by a mass m$3=8\mathrm{.}00$ g placed at the origin? Express your answer in vector form.

Fnet, g $=$

What is the force on a mass m placed in a gravitational field

g$?$

N

$($c$)$ What is the gravitational potential energy of the three$-$mass system?