The masses are M and (4 - M) using the equation for universal gravitation
F = GM(4 - M)/R²
FR²/G = M(4 - M)
(2.5*10 - 10)*(0.20)²/6.67*10-11 = M(4 - M)
0.1*10 - 10/6.67*10 - 11 = 4M - M2
0.15 = 4M - M2
M2 - 4M + 0.15 = 0
After solving the Quadratic equation
We get:-
M1 = 0.0378 kg
M2 = 3.962 kg.
m1+m2=4.5
6.67*10^-11*m1*m2 / .04 = 2.5*10^-10
solve 2 equations --->m1=0.034 kg , m2 = 4.466 kg
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The masses are M and (4 - M) using the equation for universal gravitation
F = GM(4 - M)/R²
FR²/G = M(4 - M)
(2.5*10 - 10)*(0.20)²/6.67*10-11 = M(4 - M)
0.1*10 - 10/6.67*10 - 11 = 4M - M2
0.15 = 4M - M2
M2 - 4M + 0.15 = 0
After solving the Quadratic equation
We get:-
M1 = 0.0378 kg
M2 = 3.962 kg.
m1+m2=4.5
6.67*10^-11*m1*m2 / .04 = 2.5*10^-10
solve 2 equations --->m1=0.034 kg , m2 = 4.466 kg