Chapter 5, Problem 5.19P

20. Two small conducting spheres are placed on top of insulating pads. The 3.7 × 10-10 C sphere is fixed whie the 3.0 × 107 C sphere, initially at rest, is free to move. The mass of each sphere is 0.09 kg. If the spheres are initially 0.10 m apart, how fast will the sphere be moving when they are 1.5 m apart?

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19. Mount Everest, Earth's highest mountain above sea level, has a peak of 8849 m above sea level. Assume that sea level defines the height of Earth's surface. (re = 6.38 × 106 m, ME = 5.98 × 1024 kg, G = 6.67 × 10 -11 Nm²/kg²) a. Calculate the strength of Earth's gravitational field at a point at the peak of Mount Everest. b. What is the ratio of the strength of Earth's gravitational field at a point 644416m below the surface of the Earth to a point at the top of Mount Everest? C. A tourist watching the sunrise on top of Mount Everest observes a satellite orbiting Earth at an altitude 3580 km above his position. Determine the speed of the satellite.

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6. As the distance between two charges decreases, the magnitude of the electric potential energy of the two-charge system: a) Always increases b) Always decreases c) Increases if the charges have the same sign, decreases if they have the opposite signs d) Increases if the charges have the opposite sign, decreases if they have the same sign 7. To analyze the motion of an elastic collision between two charged particles we use conservation of & a) Energy, Velocity b) Momentum, Force c) Mass, Momentum d) Energy, Momentum e) Kinetic Energy, Potential Energy