An experiment for determining the value of the universal gravitational constant G was devised by Jolly. He placed a 5.00-kg sphere on a balance and, after it was balanced, he moved a 5775-kg lead sphere under the 5.00-kg sphere, causing the balance to tilt off its equilibrium position. The distance between the centers of the two spheres was 0.569 m. Knowing that G = 6.67 x 10^-11 N·m²/kg², what mass did he need to add to the other side of the scale to bring it back in balance? A) 0.606 mg B) 5.94 mg C) 3.39 mg D) 0.345 mg E) 0.912 N

Question

Quizplus · Accepted Answer

The gravitational force between the two spheres can be calculated using Newton's law of universal gravitation: F = G * (m1 * m2) / r^2. Substituting the given values, we find the force and then convert it to the equivalent mass needed to balance the scale. The correct mass is approximately 0.606 mg.

An Experiment for Determining the Value of the Universal Gravitational