Electric fields up to 2.00×10^5 N/C have been measured inside of clouds during e

Question

Electric fields up to 2.00×10^5 N/C have been measured inside of clouds during electrical storms. Neglect the drag force due to the air in the cloud and any collisions with air molecules. What acceleration does the maximum electric field produce for protons in the cloud? Express your answer in SI units. What acceleration does the maximum electric field produce for protons in the cloud? Express your answer as a fraction of g If the electric field remains constant, how far will the proton have to travel to reach 8% of the speed of light (3.00×10^8 m/s) if it started with negligible speed?

Explanation / Answer

a= eE/m = (1.6*10^-19*2.00*10^5)/(9.1*10^-31) = 3.5*10^16 m/s^2 = 3.57*10^15g

vf^2 = vi^2 +2ad

(0.08*3*10^8)^2 = 0^2 + 2*(3.5*10^16)*d    => d= 0.008 m

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