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12 Nov 2019
Two positivecharges (+Q = 1.00 microcoulombs) are heldin position at +,-2.25 centimeters along the x-axis, as shown in the diagram. A thirdpositive charge (+q = 0.05 microcoulombs and m= 6.5micro-kilograms) is free to move along thex-axis.
The magnitude of force between pairs ofcharges is given by F(Q1,Q2)=kQ1Q2/r^2, where the constant k is8.99x10^9 N*(m^2)/(Coulombs^2), Q1 and Q2 are the electric chargesgiven in Coulombs, and r is the distance between Q1 and Q2 given inmeters. Note that when both forces are positive, the forcebetween them is repulsive.
A)Is the motion of the small charge, q, an example of simple harmonicoscillation? Carefully explain why or why not.
B)Assume q<<Q Find the time for q to complete oneoscillation.
Two positivecharges (+Q = 1.00 microcoulombs) are heldin position at +,-2.25 centimeters along the x-axis, as shown in the diagram. A thirdpositive charge (+q = 0.05 microcoulombs and m= 6.5micro-kilograms) is free to move along thex-axis.
The magnitude of force between pairs ofcharges is given by F(Q1,Q2)=kQ1Q2/r^2, where the constant k is8.99x10^9 N*(m^2)/(Coulombs^2), Q1 and Q2 are the electric chargesgiven in Coulombs, and r is the distance between Q1 and Q2 given inmeters. Note that when both forces are positive, the forcebetween them is repulsive.
A)Is the motion of the small charge, q, an example of simple harmonicoscillation? Carefully explain why or why not.
B)Assume q<<Q Find the time for q to complete oneoscillation.
Casey DurganLv2
12 Nov 2019