During a lightning flash, there exists a potential difference of V cloud - V gro

Question

During a lightning flash, there exists a potential difference of Vcloud - Vground = 3.0 x 109 V between a cloud and the ground. As a result, a charge of -20 C is transferred from the ground to the cloud.

(a) How much work Wground

During a lightning flash, there exists a potential difference of Vcloud - Vground = 3.0 x 109 V between a cloud and the ground. As a result, a charge of -20 C is transferred from the ground to the cloud. How much work Wground-cloud is done on the charge by the electric force? If the work done by the electric force were used to accelerate a 1100-kg automobile from rest, what would be its final speed? If the work done by the electric force were converted into heat, how many kilograms of water at 0 degree C could be heated to 100 degree C?

Explanation / Answer

Part A)

W = qV

W = (-20)(3 X 10^9)

W = -6 X 10^10 J (Your answer key may want this as positive, so if the negative does not work, use positive)

Part B)
W = .5mv^2
6 X 10^10 = (.5)(1100)(v)^2

10445 m/s

Part C)
Q = mc(delta T)

6 X 10^10 = (m)(4186)(100)

m = 1.43 X 10^5 kg

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