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gc textbook chapter 17 Electric Potential (id: b9899f8e0)

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admin 发表于 2025-4-9 20:27:44 | 显示全部楼层 |阅读模式
本题目来源于试卷: gc textbook chapter 17 Electric Potential,类别为 通用国际物理

[问答题]
An electron is accelerated by k vozr *g.ior4-jma 37ow5 +wgtf1ngh1t wc7:kq uhgk0q- 10ra potential difference of, say, 0.10 V. How much greater would its final speed be if it is acceler7g k:0c tf1 hghqtn1-q1wk0urated with four times as much voltage? Explain.




参考答案:
The potential energy of the electron is proportional to the voltage used to accelerate it.  Thus, if the voltage is multiplied by a factor of 4, then the potential energy is increased by a factor of 4 also.  Then, by energy conservation, we assume that all of the potential energy is converted to kinetic energy during the acceleration process.  Thus the kinetic energy has increased by a factor of 4 also.  Finally, since the speed is proportional to the square root of kinetic energy, the speed must increase by a factor of 2.


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