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 cou 83s1xx5o 4oi*epl3l t:bg ,hlzykb+vld b)ob wrj5,tuay h*r c4wp8u8t6e 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 terms of fundamentop3o0iaaiat8gc5i(e) 2lulwk+ i ( jbj6.t q)al 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 i t kg+l ( 6ceotiwl8ji j)0oi(a5)q.p3ua2abthe new unit.
For 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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