Answer:
The value of m1 is 4.2 kg and value of m2 is 1 kg.
Explanation:
Note:- The value of force is assumed to be 9.70*10^-9 N.
The gravitational force F is given by the formula,
F=Gm1m2 / r^2
where F is the force, G is the universal gravitational constant, m1 and m2 are masses and r is the distance between the masses.
Then the product of the masses is,
m1m2= Fr^2/G
Given F=9.70*10^-9 N, r is 17.0 cm which is equal to 0.17 m.
Therefore product m1m2= 9.70*10^-9 N *(0.17 m)^2 / 6.67*10^(-11) N m^2 kg^-2
m1m2= 4.20 kg^2
m1=4.20 kg^2/m2
The sum of masses is m1+m2=5.20 kg
4.20/m2+m2=5.20
(m2)^2-5.20m2-4.20=0
After solving the above quadratic equation, mass m2 has values 4.2 kg and 1 kg.
By using m2=1 kg, m1 has greater mass 4.2 kg.
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