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 Alpha particle ( a Helium nucleus with a +2e charge) enters a parallel plate arrangement through a hole in the positive plate held at +5.0V and is accelerated towards the negative plate held at -5.0V. a) What is speed of the Alpha particle when it reaches the negative plate? (Assume its initial velocity is zero) b) How fast is it moving when it is at the center of the gap between the plates? Mass of Alpha Particle: m = 6.645 × 10-27kg a Elementary charge: e = 1.602× 10-19C

A charge of Q₁ = -3.0 μC is fixed in place. From a horizontal distance of S = 0.045m a particle of mass m = 7.2x10-³ kg and charge Q₂ = -8.0 μC is fired with an initial speed of Vo = 65 m/s directly towards the fixed charge Q1. What is the minimum distance between Q₁ and Q₂ before Q₁ flips its direction of motion?

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A proton (m=1.67 x 10^-27 kg) travels a distance of 4.3 cm parallel to a uniform electric field 3.5 x 10^5 V/m between the plates shown in the figure. If the initial velocity is 3.2 x 10^5 m/s, find the magnitude of its final velocity in m/s. (Ignore gravity)

An electron is to be accelerated in a uniform electric field having a strength of 2.106 (a) What energy in keV is given to the electron if it is accelerated through 0.45 m? AKE = keV m (b) Over what distance (in km) would it have to be accelerated to increase its energy by 45 GeV? d = ✔km Hint: How is potential energy, PE, gained by an electron related to the uniform electric field? How is the potential difference, V, related to the uniform electric field?

The proton-proton chain is the multi-step process that powers the Sun via fusion of hydrogen into helium. In the first step of the proton-proton chain, a positron is produced when two protons fuse together (with one proton converting to a neutron). The emitted positron quickly collides with its anti-particle, the electron. (Recall that the electron and positron have exactly the same mass, but opposite electric charges.) The electron and positron then completely annihilate, converting all of their rest mass into two gamma-ray photons. Given a single particle of mass m, the amount of energy E produced when all of its mass is converted to energy is given by Einstein's famous formula, E = m c?, where c = 2.9979 x 10° m/s is %3D the speed of light. We also learned that the energy Ephoton of a single photon is related to its frequency f or wavelength A via Ephoton = hf = hc where h = 6.626 x 1034 m² kg/s is a fundamental constant of nature called Planck's constant. In the electron + positron…

The proton-proton chain is the multi-step process that powers the Sun via fusion of hydrogen into helium. In the fırst step of the proton-proton chain, a positron is produced when two protons fuse together (with one proton converting to a neutron). The emitted positron quickly collides with its anti-particle, the electron. (Recall that the electron and positron have exactly the same mass, but opposite electric charges.) The electron and positron then completely annihilate, converting all of their rest mass into two gamma-ray photons. Given a single particle of mass m, the amount of energy E produced when all of its mass is converted to energy is given by Einstein's famous formula, E = m c2, where c = 2.9979 x 108 m/s is the speed of light. We also learned that the energy Ephoton of a single photon is related to its frequency f or wavelength A via Ephoton = hf = he, where h = 6.626 x 10-34 m² kg/s is a fundamental constant of nature called Planck's constant. In the electron + positron…

A Proton Gun. You and your team are designing a device that creates a beam of high-velocity protons. The device consists of a parallelplate capacitor in which protons start at rest at the positive plate. The protons accelerate toward the negative plate, which has a hole through which some of the protons pass. The plates are separated by 5.6cm, and the potential difference between the plates is 5.2kv. (a) What are the kinetic energies of the protons when they pass through the hole? (b) What are the speeds of the protons when they pass through the hole? (c) What is the acceleration of the protons between the plates? (a) Number Units

What is the speed of an electron after being accelerated from rest through a 2.5×107 V potential difference? Express your answer as a fraction of cc.