Thor is battling the Frost Giants and he uses his hammer, Mjolnir, to zap them with lightning. Thor unleashes a bolt toward the nearest Giant. Mjolnir has an electric potential of zero and the Frost Giant has an electric potential of either +1.9 × 108 V or -1.9 × 108 V (you will decide during part 1 of the question). In order for electricity to conduct through dry air, the electric field between Thor and the Frost Giant must have a magnitude of 3.2 x 106 m' A negatively charged hydroxide ion (OH) in the lightning bolt travels away from Thor. OH ions hold a charge of -1.6 × 10-1⁹ C and they have a mass of 2.82 × 10-26 kg. The OH ion speeds up from rest to a velocity of 6.3 × 105 m.

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Assess the following conservation of energy problem. Determine if the answer is correct or incorrect, and explain why

The Question
Thor is battling the Frost Giants and he uses his hammer, Mjolnir, to zap them with lightning. Thor unleashes a
bolt toward the nearest Giant. Mjolnir has an electric potential of zero and the Frost Giant has an electric
potential of either +1.9 × 108 V or -1.9 × 108 V (you will decide during part 1 of the question). In order for
electricity to conduct through dry air, the electric field between Thor and the Frost Giant must have a magnitude
V
of 3.2 x 106
m
A negatively charged hydroxide ion (OH¯) in the lightning bolt travels away from Thor. OH ions hold a charge
of -1.6 × 10-¹⁹ C and they have a mass of 2.82 × 10-26 kg. The OH-ion speeds up from rest to a velocity of
6.3 × 105 m.
Transcribed Image Text:The Question Thor is battling the Frost Giants and he uses his hammer, Mjolnir, to zap them with lightning. Thor unleashes a bolt toward the nearest Giant. Mjolnir has an electric potential of zero and the Frost Giant has an electric potential of either +1.9 × 108 V or -1.9 × 108 V (you will decide during part 1 of the question). In order for electricity to conduct through dry air, the electric field between Thor and the Frost Giant must have a magnitude V of 3.2 x 106 m A negatively charged hydroxide ion (OH¯) in the lightning bolt travels away from Thor. OH ions hold a charge of -1.6 × 10-¹⁹ C and they have a mass of 2.82 × 10-26 kg. The OH-ion speeds up from rest to a velocity of 6.3 × 105 m.
3. What is the change in electric potential for the OH ion as it speeds up? Include the correct sign (+) of
this change in potential.
AV =
1
1
qV₁ + = mv² = qVƒ + = mv²
AV =
d =
1
{mv} _{{mv²
q
(2.82 x 10-26 kg) (6.3 × 105 m)
2 * (-1.6 × 10-1⁹ C)
AV = -3.50 × 104 V
4. What distance does the OH ion cover as it speeds up?
d = V² − v ²
2a
Need to find acceleration from Newton's Second Law
F
-
a =
d =
qE
m m
m(v² - v²)
2qE
2
m² - (0)²]
(2.82 × 10-26 kg)[(0)² – (3.5 × 10¹ V)²]
2 * (-1.6 × 10-1⁹ C) * (3.2 × 106
d = 3.37 × 10-5 m
Transcribed Image Text:3. What is the change in electric potential for the OH ion as it speeds up? Include the correct sign (+) of this change in potential. AV = 1 1 qV₁ + = mv² = qVƒ + = mv² AV = d = 1 {mv} _{{mv² q (2.82 x 10-26 kg) (6.3 × 105 m) 2 * (-1.6 × 10-1⁹ C) AV = -3.50 × 104 V 4. What distance does the OH ion cover as it speeds up? d = V² − v ² 2a Need to find acceleration from Newton's Second Law F - a = d = qE m m m(v² - v²) 2qE 2 m² - (0)²] (2.82 × 10-26 kg)[(0)² – (3.5 × 10¹ V)²] 2 * (-1.6 × 10-1⁹ C) * (3.2 × 106 d = 3.37 × 10-5 m
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