BackTwo small plastic spheres are given positive electric charges. When they are cm apart, the repulsive force between them has magnitude N. What is the charge on each sphere if one sphere has four times the charge of the other?
Two small plastic spheres are given positive electric charges. When they are cm apart, the repulsive force between them has magnitude N. What is the charge on each sphere if the two charges are equal?
Two small spheres spaced cm apart have equal charge. How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is N?
Two small aluminum spheres, each having mass kg, are separated by cm. What fraction of all the electrons in each sphere does this represent?
Two small aluminum spheres, each having mass kg, are separated by cm. How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude N (roughly ton)? Assume that the spheres may be treated as point charges.
Two small plastic spheres each have a mass of 2.0 g and a charge of −50.0 nC. They are placed 2.0 cm apart (center to center). What is the magnitude of the electric force on each sphere?
A 2.0 g plastic bead charged to −4.0 nC and a 4.0 g glass bead charged to +8.0 nC are 2.0 cm apart and free to move. What are the accelerations of the plastic bead?
A massless spring is attached to a support at one end and has a 2.0 μC charge glued to the other end. A −4.0 μC charge is slowly brought near. The spring has stretched 1.2 cm when the charges are 2.6 cm apart. What is the spring constant of the spring?
Objects A and B are both positively charged. Both have a mass of 100 g, but A has twice the charge of B. When A and B are placed 10 cm apart, B experiences an electric force of 0.45 N. What is the charge on A?
What is the force F on the 1.0 nC charge at the bottom in FIGURE P22.47? Give your answer in component form.
A +2.0 nC charge is at the origin and a −4.0 nC charge is at x = 1.0 cm. Would the net force be zero for an electron placed at the same position? Explain.
You have a lightweight spring whose unstretched length is 4.0 cm. First, you attach one end of the spring to the ceiling and hang a 1.0 g mass from it. This stretches the spring to a length of 5.0 cm. You then attach two small plastic beads to the opposite ends of the spring, lay the spring on a frictionless table, and give each plastic bead the same charge. This stretches the spring to a length of 4.5 cm. What is the magnitude of the charge (in nC) on each bead?
A 5.0 g ball charged to 1.5 μC is tied to a 25-cm-long string. It swings at 250 rpm in a horizontal circle around a stationary ball charged to −2.5 μC. What is the tension in the string?
Space explorers discover an 8.7×1017 kg asteroid that happens to have a positive charge of 4400 C. They would like to place their 3.3×105 kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of −1.2C. What speed must their spaceship have to achieve a 7500-km-diameter circular orbit?
What is the force F on the 8.0 nC charge in FIGURE P22.44? Give your answer as a magnitude and an angle measured cw or ccw (specify which) from the +x-axis.