勢い
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Momentum, the power to influence something – like, “The car had a lot of 勢い so it was hard to stop the car before we hit the cat” or “Because of the whiskey’s 勢い, I could do a table dance in the White House.” Also means to gain steam or lose steam – said of political momentum or the momentum of a trend or ideology.
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力
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Force or strength (of a person but also of a thing – tidal wave, lightning, mighty rhino, etc.)
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権力
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Power (over other people)(as in boss, parent, governor, pope, etc.)
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威力
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Power in a bad way- scary power. Like the power of heroin or the power of a corrupt cop. Not very useful.
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政権
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Political power.
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権利
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The right to do something.
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権威
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An authority one has based on power alone (parents, cops, etc.) rather than on rights (like the related word 権利(けんり))
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