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Two astronauts, one of mass 60 kg and the other 84 kg, are initially at rest in outer space. They then push each other apart. How far apart are they when the lighter astronaut has moved 10 m?

m1= 60 kg

m2=84 kg

X initial = 0

X1 final= 10 m

V1 inital = 0

V2 initial= 0

V 1 final= 10m/s

T=1 S

.5*60*0^2 + .5*84*0^2 = .5*60*10^2 +.5*84*V2Final^2

0=3000 + 42* V2Final^2

-71=V2Final^2

V2Final = -8.5 m/s

8.5+10=18.5 m