1. A ion of charge positive 1.60x10^-19C and mass 2.13x10^-25 kg is placed at the positive plate of a parallel plate setup. The ion then accelerates to a speed of 5.93x10⁴ m/s as it reaches the negative plate, 4.38 cm away, and leaves through a small hole. As the ion travels across the parallel plates, the net force is equal to the electric force.

a) What is the voltage across the parallel plates?

b) What is the magnitude of electric field between the parallel plates?

c) What is the magnitude of acceleration of the ion between the parallel plates?

d) After the ion leaves the small hole in the negative plate, the ion enters a perpendicular magnetic field of 1.34 T while still travelling at 5.93x10⁴ m/s. What is the radius of the circular path the ion will travel in cm?

e) What is the magnitude of acceleration of the ion along its circular path? Hint: the accelerations of parts c and e are different.

2. A point charge of +3.34x10^-9 C is located 7.56 m directly south of a point charge of -9.35x10^-9 C. An electron is located 3.45 m directly east of the +3.34x10^-9 C point charge. If the two electric forces are the only two forces on the electron calculate its acceleration.

3. An asteroid orbits the Sun in a perfect circle of radius 2.71x10¹² m. Calculate its orbital period in seconds and in years.