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What is the SI unit of Work?

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The SI unit of work is Joule (J). Joule is defined as the work done by a force of one newton causing a displacement of one meter.

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Joule (J)
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In the case of work (and also energy), the standard metric unit is the Joule (abbreviated J). One Joule is equivalent to one Newton of force causing a displacement of one meter. In other words, The Joule is the unit of work.
 
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