What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.30 cm and a uniformly distributed charge of 1.50 × 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.
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What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.30 cm and a uniformly distributed charge of 1.50 × 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.
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- please helpAn electron and a proton are separated by a distance of 1.9 x 10^-10 m (roughly the diameter of a single atom). The masses of the electron and proton are me = 9.11 x 10^-31 kg and mp = 1.673 x 10^-27 kg, respectively. The elementary charge e = 1.602 x 10^-19 C. The universal gravitational constant G = 6.67 x 10^-11 N*m^2/kg^2 and the coulomb constant k = 8.988 x 10^9 N*m^2/C^2. What is the magnitude Fe of the electric force between the electron and the proton? What is the magnitude Fg of the gravitational force between the electron and the proton?A 70.0-g block carrying a charge Q = 31.0 µC is connected to a spring for which k = 72.0 N / m. The block lies on a horizontal frictionless surface and is immersed in a uniform electric field of magnitude E = 4.64 ✕ 104 N / C directed as shown in the following figure. The block is released from rest when the spring is not stretched (x = 0). (a) By what maximum distance (in cm) does the block move from its initial position? (b) Determine (in cm) the rear equilibrium position of the block and the range of its motion. (Indicate the address with the sign of your answer.) (c) Using conservation of energy, find a symbolic relationship that gives the potential difference between your initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q.
- On a very unrealistically staticky day, Zoey decides to try to hold up the weight of her body by grabbing onto a balloon she rubbed on her head. She rubs it on her head and then holds it up to the ceiling and lets the force of static electricity between the balloon and the ceiling hold her up. If Zoey weighs 700N and the charge on the balloon is 1.5 x 10-9 C and the balloon is 4.0 x 10 3 m away from the ceiling's charge, then what must the charge on the ceiling be to be able to create a force of electricity equal to Zoey's weight? TATitA point charge q1 = +5.00 μCoul is held in fixed space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00*10^-3 kg and charge q2 = +2.00 μCoul is fired toward the fixed charge with an initial speed of 50.0 m/s. Gravity can be neglected. What is the distance between the two charges when the speed of the moving charge q2 is 20.0 m/s?A point charge q₁ = 5.00 μC is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 x 10 kg and charge q2 = +2.00 μC is fired toward the fixed charge with an initial speed of 44.0 m/s. Gravity can be neglected.
- A proton is fired from very far away directly at a fixed particle with charge q = 1.49 ✕ 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.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? ____________mTwo 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, MsA 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?