Two objects exert a gravitational force of 3.5 x 10-10 N when separated by a distance of 0.33 m, with a combined mass of 4.0 kg. To determine their individual masses, one must apply Newton's law of universal gravitation, which states that the gravitational force (F) is equal to G multiplied by the product of the two masses (m1 and m2) divided by the square of the distance (r) between them. The gravitational constant (G) is approximately 6.674 x 10-11 N(m/kg)2. This problem requires knowledge of the relevant formulas and principles from physics.
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