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Lightning Flash In a given lightning flash, the potential difference between a c

ID: 2033035 • Letter: L

Question

Lightning Flash In a given lightning flash, the potential difference between a cloud and the ground is 1.2 x 109 V and the quantity of charge transferred is 36 C (a) What is the decrease in energy of that transferred charge? (b] Ir all that energy could be used to accelerate a (C) If the energy could be used to melt ice, how much ice would it melt at 0°C? The heat of fusion of ice is 3.33 x 105 /kg. GJ 1000 kg automobile from rest, what would be the automobile's final speed? m/s kg Section 25.3 Electric Potential

Explanation / Answer

Part A.

Change in Energy will be given by:

dU = dPE

dU = q*dV

dU = 36*1.2*10^9 = 43.2*10^9 J

dU = 43.2 GJ

Part B

Using energy conservation

dPE = dKE

dPE = 0.5*m*Vf^2 - 0.5*m*Vi^2

Vi = 0

dPE = 0.5*m*Vf^2

Vf = sqrt (2*dPE/m)

Vf = sqrt (2*43.2*10^9/1000)

Vf = 9295.16 m/sec

Part C.

Energy required for ice melting is given by

Q = m*Lf

m = Q/Lf

m = 43.2*10^9/(3.34*10^5)

m = 129341.32 kg

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