What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 0.9 cm and a uniformly distributed charge of 1.7 × 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there? The charge of an electron is 1.602 × 10-19 C and its mass is 9.109 × 10-31 kg.

An alpha particle (two protons and two neutrons together in one nucleus) with a mass of 6.64× 10^7 kg +2e flies head-on from a large distance toward a stationary gold nucleus (charge +79e)at a speed of 3.0 × 10^7 m/s. Calculate the distance of the alpha particle from the gold nucleuswhen it stops.

An electron is shot directly toward the center of a large metal plate that has surface charge density −2.50 ✕ 10−6 C/m2. If the initial kinetic energy of the electron is 1.50 ✕ 10−16 J and if the electron is to stop (owing to electrostatic repulsion from the plate) just as it reaches the plate, how far from the plate must the launch point be? ____________m

A system of 1455 particles, each of which is either an electron or a proton, has a net charge of −6.704×10−17 CC . What is the mass of this system?

Two particles are in a uniform electric field whose value is +2500 N/C. The mass and charge of particle 1 are m₁ = 1.61 × 10-5 kg and 91=-5.61 C, while the corresponding values for particle 2 are m2 = 2.14 × 105 kg and q2=+16.5 μC. Initially the particles are at rest. The particles are both located on the same electric field line but are separated from each other by a distance d. When released, they accelerate, but always remain at this same distance from each other. Find d. Number Units

A proton is fired from very far away directly at a fixed particle with charge  q = 1.60 ✕ 10−18 C.  If the initial speed of the proton is 1.7 ✕ 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 ✕ 10−27 kg.

Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive charge of qA = 4400 C. They would like to place their ms = 3.3 x 105 kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of qs -1.2 C. What speed must their spaceship have to achieve a 7500-km- diameter circular orbit? qA, MA + 2 0.gs, Ms

A proton initially moves left to right long the x axis at a speed of 9,070  m/s. It moves into an electric field, which points in the negative x direction, and travels a distance of 0.7 m before coming to rest. If the proton's mass and charge are 1.67 × 10−27 kg and 1.60 × 10−19 C respectively, what is the magnitude of the electric field?​

A point charge q1=5.00μC is held fixed in space. From a horizontal distance of 8.00 cmcm, a small sphere with mass 4.00×10^−3 kg and charge q2=+2.00μC is fired toward the fixed charge with an initial speed of 45.0 m/sm/s. Gravity can be neglected. What is the acceleration of the sphere at the instant when its speed is 22.0 m/sm/s?

A small, charged particle of mass 4.30 x 10-8g and charge +1.92 x 10-13C is sent toward a large fixed, flat sheet (0.50m x 0.50m) of metal that has a net charge of 1.33 x 10-6C. If the particle is moving with a speed of 18m/s when it is 8.00cm away from the sheet, does the particle strike the sheet? If so, what is the particle’s speed just before hitting the sheet? If the particle does not strike the sheet, what is its closest distance to the sheet?