$$Weight and g: By how many newtons does the weight of a $100-$kg person change when he goes from sea$$ level to an altitude of $5\mathrm{.}0$ km $($neglect the earth's rotational effects$)?($The mean radius of the Earth is $6\mathrm{.}38106$ m$,$ G $=6\mathrm{.}6710-11$ N $$ m$2/$kg$2.)$

A$)-1\mathrm{.}5$ N B$)-2\mathrm{.}6$ N C$)-0\mathrm{.}60$ N D$)-3\mathrm{.}6$ N E$)-5\mathrm{.}2$ N