A ball has an electric charge of +1.5 × 10-9 coulombs. At what distance from the ball's center is the electric field strength eq ual to 5.8 × 105 newtons/coulomb? (k = 9.0 × 109 newton·meter2/coulomb2)
0.2 × 10-2 meters
4.8 × 10-3 meters
3.0 × 10-2 meters
5.8 × 105 meters
Please help I keep failing this quiz. -_-
2 answers:
Answer:
Distance,
Explanation:
It is given that,
Electric charge on a ball,
Electric field strength,
The electric field strength is given by :
r = 0.0048 meters
or
Hence, the correct option is (b).
E=Fe/q 5.8x10^5N/C=Fe/(1.5x10^-9C) Fe=(5.8x10^5N/C)(1.5x10^-9C) Fe=8.7x10^-4N Fe=kq1q2/r² 8.7X10^-4N=(8.99x10^9N·m²/C²)(1.5x10^-9C)(1.5x10-9C)/r² r²=(8.99x10^9N·m²/C²)(1.5x10^-9C)(1.5x10-9C)/(8.7x10^-4N) √r²=√0.00002325 The final answer is r=4.8x10-3m
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