Use the following information to answer the next question. An electron, initially travelling at 2.0 x 106 m/s horizontally, enters a region exactly halfway between two 4.0-cm long parallel plates. The plates are 2.00 cm apart from each other with a potential difference of 4.00 V. The electron leaves the region between the parallel plates with a deflection upwards, as shown in the diagram below. dx = 4.0 cm Plate #1 e Vi Plate #2 Note: Gravitational, frictional and edge effects are negligble and this diagram is not drawn to scale. 4a) Determine the charge (postive / negative) Plate #2.

In different experimental trials, an electron, a proton, or a doubly charged oxygen atom (O--), is fired within a vacuum tube. The particle's trajectory carries it through a point where the electric potential is 40.0 V and then through a point at a different potential. Rank each of the following cases according to the change in kinetic energy of the particle over this part of its flight from the largest increase to the largest decrease in kinetic energy. In your ranking, display any cases of equality, (a) An electron moves from 40.0 V to 60.0 V. (b) An electron moves front 40.0 V to 20.0 V. (c) A proton moves from 40.0 V to 20.0 V'. (d) A proton moves from 40.0 V to 10.0 V. (e) An O-- ion mines from 40.0 V to 60.0 V.

Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, (a) what is the potential difference between the plates? (b) What is the potential difference between the positive plate and a point 1.25 cm from it that is between the plates?

A 12.0-V battery-operated bottle warmer heats 50.0 g of glass, 2.50102 g of baby formula, and 2.00102 g of aluminum from 20.0C to 90.0C . (a) How much charge is moved by the battery? (b) How many electrons per second flow if it takes 5.00 min to warm the formula? (Hint: Assume that the specific heat of baby formula is about the same as the specific heat of water.)

Review. Two insulating spheres have radii r1 and r2, masses m1 and m2, and uniformly distributed charges q1 and q2. They are released from rest when their centers are separated by a distance d. (a) How fast is each moving when they collide? (b) What If? It the spheres were conductors, would their speeds be greater or less than those calculated in part (a)? Explain.

(a) Would life be different if the electron were positively charged and the proton were negatively charged? (b) Does the choice of signs have any bearing on physical and chemical interactions? Explain your answers.

Integrated Concepts: A 12.0 V battery-operated bottle warmer heats 50.0 g of glass, 2.50 102 g of baby formula, and 2.00 102 g of aluminum from 20.0°C to 90.0°C. (a) How much charge is moved by the battery? (b) How many electrons per second flow if it takes 5.00 mm to warm the formula? (Hint: Assume that the specific heat of baby formula is about the same as the specific heat of water.)

The planetary model of the atom pictures electrons orbiting the atomic nucleus much as planets orbit the Sun. In this model you can view hydrogen, the simplest atom, as having a single electron in a circular orbit 1.061010 m in diameter. (a) If the average speed of the electron in this orbit is known to be 2.20106 m/s, calculate the number of revolutions per second it makes about the nucleus. (b) What is the electron's average velocity?

(a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?

A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of . (a) Find the electric field inside and outside the cylinder, (b) Find the electric potential inside and outside the cylinder, (c) Plot electric field and electric potential as a function of distance from the center of the rod.