The negative charge on the polyester ball is -1.53 x 10⁻⁶ C.
The given parameters;
- mass of the ball, m = 1.2 g
- distance between the ball and the pipe = 42 cm = 0.42 m
The gravitational force on the ball is calculated as follows;
F = mg
F = 0.012 x 9.8
F = 0.12 N
The electrostatic force on the ball is calculated as follows;
[tex]F= \frac{kq^2}{r^2} \\\\q^2 = \frac{Fr^2}{k} \\\\q = \sqrt{\frac{0.12 \times (0.42)^2}{9\times 10^9}} \\\\q =+/ -\ \ 1.53 \times 10^{-6} \ C\\\\q =-\ \ 1.53 \times 10^{-6} \ C[/tex]
Thus, the negative charge on the polyester ball is -1.53 x 10⁻⁶ C.
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