Four point charges are located at the corners of a square with sides of length a . Two of the charges are + q and two are − q . Find the magnitude and direction of the net electric force exerted on a charge + Q located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign (+ q , − q , + q , − q ) as you go around the square; (b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.
Four point charges are located at the corners of a square with sides of length a . Two of the charges are + q and two are − q . Find the magnitude and direction of the net electric force exerted on a charge + Q located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign (+ q , − q , + q , − q ) as you go around the square; (b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.
Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q and two are −q. Find the magnitude and direction of the net electric force exerted on a charge +Q located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign (+q, −q, +q, −q) as you go around the square; (b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.
î
A proton is projected in the positive x direction into a region of uniform electric field E = (-5.50 x 105) i N/C at t = 0. The
proton travels 7.20 cm as it comes to rest.
(a) Determine the acceleration of the proton.
magnitude 5.27e13
direction -X
m/s²
(b) Determine the initial speed of the proton.
8.71e-6
magnitude The electric field is constant, so the force is constant, which means the acceleration will be constant.
m/s
direction +X
(c) Determine the time interval over which the proton comes to rest.
1.65e-7
Review you equations for constant accelerated motion. s
Three charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 μC, and
L = 0.750 m.)
y
7.00 με
60.0°
L
9
-4.00 μC
x
(a) Calculate the electric field at the position of charge q due to the 7.00-μC and -4.00-μC charges.
112
Once you calculate the magnitude of the field contribution from each charge you need to add these as vectors.
KN/CI + 64
×
Think carefully about the direction of the field due to the 7.00-μC charge. KN/Cĵ
(b) Use your answer to part (a) to determine the force on charge q.
240.0
If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mN
Î + 194.0
×
If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mN
In the Donkey Kong Country video games you often get around by shooting yourself out of barrel cannons. Donkey Kong wants to launch out of one barrel and land in a different one that is a distance in x of 9.28 m away. To do so he launches himself at a velocity of 22.6 m/s at an angle of 30.0°. At what height does the 2nd barrel need to be for Donkey Kong to land in it? (measure from the height of barrel 1, aka y0=0)
Campbell Essential Biology with Physiology (5th Edition)
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