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Three questions. Please answer with all work used to find the answers.
(1)Two equally charged, 3.549 g spheres are placed with 2.925 cm between their centers. When released, each begins to accelerate at 320.079 m/s2. What is the magnitude of the charge on each sphere?
(2)Object A, which has been charged to +12.39 nC, is at the origin. Object B, which has been charged to -25.5 nC, is at x=0 and y=2.07 cm. What is the magnitude of the electric force on object A?
(3)A 5 cm spring is suspended with a mass of 3.8589 g attached to it which extends the spring by 1.5747 cm. The same spring is placed on a frictionless flat surface and charged beads are attached to each end of the spring. With the charged beads attached to the spring, the spring's extension is 0.0116 m. What are the charges of the beads?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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