本题目来源于试卷: Kognity IB Physics A.0 Measurements & Uncertainty,类别为 IBDP Physics
[单选题]
Which of the following couldbc oel)gc4(rms*0 k ufdb0l ( (37ezft 22/hp/zzhh nr:mrqvtis:. + tbe a unit of power?
A. $kg \cdot m \cdot s^{-2}$
B. $kg \cdot m^2 \cdot s^{-1}$
C. $kg \cdot m^2 \cdot s^{-2}$
D. $kg \cdot m^2 \cdot s^{-3}$
参考答案: D
本题详细解析:
All derived units can be written in p7wvecr5a*5i3 k +e: lzb7orsterms of fundamental units by considering the equations you would use to calculate the derived value.
By replacing each term with its unit in the equation, you can obtain the new unit.
kepwsl5v7b73 5r:*iaro ec+zFor example: $$ P=F v $$ where $P$ is power, $F$ is force and $v$ is velocity. In turn: $$ F=m a $$ where $m$ is mass and $a$ is acceleration.
So we could write: $$ P=m a \times v $$
and the unit of power in terms of fundamental units must then be: $$ \mathrm{kg} \times \mathrm{ms}^{-2} \times \mathrm{ms}^{-1}=\mathrm{kg} \cdot \mathrm{m}^2 \cdot \mathrm{s}^{-3} . $$
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