Answer :
Answer:
[tex]\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}[/tex]
Step-by-step explanation:
Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:
[tex]P=\dfrac{W}{t}[/tex]
Unit of Work = [tex]\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2}[/tex]
Unit for Time = s
Therefore, the Unit of Power
[tex]=$Unit for W \times \dfrac{1}{\text{Unit for time}}[/tex]
[tex]=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} \times \dfrac{1}{s} \\=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}[/tex]
An appropriate unit for power is: [tex]\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}[/tex]