A small sphere of mass m = 6.70 g and charge q 1 = 27.2 nC is attached to the en

Question

A small sphere of mass m = 6.70 g and charge q1 = 27.2 nC is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge q2 = ?58.0 nC is located below the first charge a distance d = 2.00 cm below the first charge as in the figure.

A small sphere of mass m = 6.70 g and charge q1 = 27.2 nC is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge q2 = ?58.0 nC is located below the first charge a distance d = 2.00 cm below the first charge as in the figure. Find the tension in the string. If the string can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the string breaks?

Explanation / Answer

a) Tention T= m*g + k*q1*q2/r^2

T= 6.70*10^-3*9.8 + 9*10^9* 27.2*10^-9 *58*10^-9/.02^2 = .0101156 N

b) Tention T= m*g + k*q1*q2/r^2

T= .180 N = 6.70*10^-3*9.8 + 9*10^9* 27.2*10^-9 *58*10^-9/r^2 => r = .01114 m = .1.1114 cm

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