The kinetic energy of a deuteron H^2 is 6.0MeV. Find its velocity. Find the kine

Question

The kinetic energy of a deuteron H^2 is 6.0MeV. Find its velocity. Find the kinetic energy in eV for an electron travelling with one tenth the speed of light. An aluminum ion Al^3+ has been accelerated by a potential difference of 4.0kV. What is its kinetic energy in eV, and what is its speed? (mass number of the ion is 27) The picture tube of an old style TV set consists of an electron gun and a screen. The electrons from the gun arc accelerated through a potential difference of 30.0kV before striking the screen. (a) Which is at a higher electric potential, the gun or the screen? (b) What is the kinetic energy of an electron (in cV and in J) as it reaches the screen? What is the electric potential at a point 5.0m away from a 4.0 mu C point charge, assuming the potential is zero at infinity? How much work is required to bring a 6.0 mu C point charge from infinity to this point? The next three problems refer to two point charges on the x-y plane where coordinates are measured in meters. A 4.0 mu C point charge lies at the origin and a -3.0 mu C point charge lies at the point (2, 0). Find the electric potential at the points (3, 0), (1, 0) and (-1, 0). Find the x-coordinate of the point where the potential vanishes. Find the potential at the point (0, 3).

Explanation / Answer

KE = 6 Mev = 9.6131 x 10-13 J

Mass of Deuteron = 3.343583719 x 10-27 kg

KE = ½ m v2

V = sqrt (2 KE / m)

V = sqrt (572664419638974.3736)

v = 23930407.845 m/s

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