(a) How much work W ground-cloud is done on the charge by the electric force? (b
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Question
(a) How much work Wground-cloud is done on the charge by the electric force?
(b) If the work done by the electric force were used to accelerate a 1100-kg automobile from rest, what would be its final speed?
(c) If the work done by the electric force were converted into heat, how many kilograms of water at 0?C could be heated to 100?C?
During a lightning flash, there exists a potential difference of Vcloud ? Vground = 2.0 10^9 V between a cloud and the ground. As a result, a charge of -26 C is transferred from the ground to the cloud. (a) How much work Wground-cloud is done on the charge by the electric force? (b) If the work done by the electric force were used to accelerate a 1100-kg automobile from rest, what would be its final speed? (c) If the work done by the electric force were converted into heat, how many kilograms of water at 0½C could be heated to 100½C?Explanation / Answer
a) work done = deltaV * q = 26 x 2 x 10^9 = 52 x 10^9 J
b) work done = change in K.E.
52 x 10^9 = 1100 x v^2 /2 - 0
v = 9723.45 m/s
c) Q = mS deltaT
52 x 10^9 = m x 4179 x (100 - 0)
m =124431.68 kg
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