D | Question 8 4 pts If steps are not taken to ground a gasoline pump, static el
ID: 1876857 • Letter: D
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D | Question 8 4 pts If steps are not taken to ground a gasoline pump, static electricity can be placed on gasoline when filling your car's tank. A tiny drop of gasoline has a mass of 3 x 10-15 kg and an electric charge of 48 x 101 C There is an upward electric field strength of 15.00 × 105 due to other static electricity in the area. Calculate the acceleration of the gasoline drop in units of answer with no letters in your response. Enter a numeric Hint: Follow the steps in the example shown in section 18.8 of your book. You wil first need to calculate the weight of the drop and the electric force on the drop. Then use Newton's 2nd Law to calculate the acceleration of the drop.Explanation / Answer
8)We know that, electric force on a charge is:
F = q E
F = 4.8 x 10^-19 x 5 x 10^5 = 2.4 x 10^-13 N
W = mg = 3 x 10^-15 x 9.81 = 2.94 x 10^-14 N
The net force is:
Fnet = 2.4 x 10^-13 - 2.94 x 10^-14 = 2.11 x 10^-13
ma = 2.11 x 10^-13
a = 2.11 x 10^-13/(3 x 10^-15) = 70.33 m/s^2
Hence, a = 70.33 m/s^2
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