answers:
m2 = 1.05 kg and m1 = 4.75 kg
Explanation:
the gravitational force is given by:
Fg = Gm1×m2/(r^2)
9.20×10^-9 = [(6.67×10^-11)×(m1×m2)]/[(19×10-2)^2]
(m1×m2) = 4.98 kg^2
m1 = 4.98/m2 kg
but we given that:
m1 + m2 = 5.80 kg
4.98/m2 + m2 = 5.80
4.98 + (m2)^2 = 5.80×m2
(m2)^2 - 5.80×m2 + 4.98 = 0
by solving the quadratic equation above:
m2 = 4.75 kg or m2 = 1.05 kg
due to that from the information, m2 has a lighter mass, then m2 = 1.05 kg.
then m1 = 5.80 - 1.05 = 4.75 kg.
