Use the following to answer questions 10-11: A + 3.50 MuC point charge is moved

Question

Use the following to answer questions 10-11: A + 3.50 MuC point charge is moved from point A to n the uniform electric field 50.0 N/C as shown. 10. The potential energy of the point charge will (increase / decrease ) (circle one) by J. Page 4 11. If the charge has the velocity of 1.28 x 10^6 m/s at point A, what is the velocity at point B?The mass of the charge is 2.00 x 10^-15 kg. 12. (Read the problem carefully.) Two point charges are arranged along the x axis as shown in the figure. Find the position where the electric potential is equal to zero (other than infinity). Note: For reference, the electric potential is zero at infinity.

Explanation / Answer

(10):

potential energy of the charge will decrease by amount = 3.5*10^(-6) * 4 * 50 = 7*10^(-4) Jules

(11):

by energy conservation

drop in potential energy = gain in kinetik energy

7*10^(-4) = 0.5* 2*10^(-15) ( v^2 - (1.28*10^(6) ) ^2 )

v = 1.53 * 10^(6) m/s

(12):

let at x distance from origin potential is zero

therefore

k*20*10^(-6) / x - k*50*10^(-6) / (x-1) = 0

x = -2/3 m

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