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Question
29 true or false 1 point a kg·m²/s² would be a unit of work. true false previous
Step1: Recall the formula for work
Work \(W = F\times d\), where \(F = ma\) (Newton's second law, \(F\) is force, \(m\) is mass, \(a\) is acceleration) and \(d\) is distance.
The unit of force \(F\) is \(N=kg\cdot m/s^{2}\) (from \(F = ma\), \(m\) in \(kg\), \(a\) in \(m/s^{2}\)), and the unit of distance \(d\) is \(m\).
Step2: Calculate the unit of work
Substitute the units into \(W = F\times d\). The unit of work \(W\) is \((kg\cdot m/s^{2})\times m=kg\cdot m^{2}/s^{2}\)
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True