The value of m1 is 0.02256 kg and the value of m2 is 4.97744 kg. let's calculate :-
Now,
To determine the values of the individual masses, we can use the formula for gravitational force: F = G * (m1 * m2) / r^2 where G is the gravitational constant, m1 and m2 are the masses, and r is the distance between them. We can rearrange the formula to solve for m1 and m2. Given that the gravitational force is 8.80E-9 N, the distance is 17.0 cm (0.17 m), and the combined value of the masses is 5.00 kg, we can substitute these values in and solve for m1 and m2. Let's first convert the distance to meters: 0.17 m. Plugging the values into the formula,
8.80E-9 = (6.67E-11) * (m1 * m2) / (0.17^2)
Simplifying the equation, we can isolate one of the masses. Let's solve for m1:
m1 = (8.80E-9 * (0.17^2)) / (6.67E-11 * m2)
Now, we know that the combined mass is 5.00 kg, so we can substitute m2 = (5.00 - m1) into the equation:
m1 = (8.80E-9 * (0.17^2)) / (6.67E-11 * (5.00 - m1))
Simplifying further,
m1 = 0.004538 * (5.00 - m1)
m1 = 0.02269 - 0.004538m1
1.004538m1 = 0.02269
m1 = 0.02256 kg
Now, we can substitute the value of m1 back into the equation to find m2:
m2 = (5.0 - m1) = 5.00 - 0.02256 = 4.97744 kg
Therefore, the value of m1 is 0.02256 kg and the value of m2 is 4.97744 kg.