Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 1.61 x 10-6 kg. The gravitational force that each sphere exerts on the other is balanced by the electric force. Determine the charge magnitude. Number i UnitsCurrent Attempt in Progress A charge +q is located at the origin, while an identical charge is located on the x axis at x = +0.42 m. A third charge of +2q is located on the x axis at such a place that the net electrostatic force on the charge at the origin doubles, its direction remaining unchanged. Where should the third charge be located? d = Number i UnitsA charge of -2.69 /C is fixed at the center of a compass. Two additional charges are fixed on the circle of the compass (radius = 0.0879 m). The charges on the circle are -3.85 /C at the position due north and +7.30 /C at the position due east. What is (a) the magnitude and (b) direction of the net electrostatic force acting on the charge at the center? Specify the direction as an angle relative to due east Feast -W Esouth (a) Number Units (b) Number UnitsMultiple-Concept Example 3 provides some pertinent background for this problem. Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the naturally occurring electrons is removed. The radius of the orbit is 3.32 x 10 1 m. Determine the magnitude of the electron's centripetal acceleration. Number UnitsThe drawing shows three point charges fixed in place. The charge at the coordinate origin has a value of q1 = +6.93 /C; the other two have identical magnitudes, but opposite signs: q2 - -6.41 /C and q3 - +6.41 /C. (a) Determine the net force exerted on q1 by the other two charges. (b) If q1 had a mass of 1.50 g and it were free to move, what would be its acceleration? 92 1 30 m_- 23.0 91 23.0 1 30 m 43 (a) Number i Units (b) Number i Units