Respuesta :

Explanation

Step 1

mathematically, power is defined as the work done per unit of time

[tex]P=\frac{W}{\text{time}}[/tex]

and , the work is defined by:

[tex]\begin{gathered} \text{Work}=\text{ force }\cdot\text{ distance} \\ \end{gathered}[/tex]

then, replace W=force*distance in the first equation

[tex]\begin{gathered} P=\frac{\text{Work}}{\text{time}}=\frac{force\cdot dis\tan ce}{\text{time}} \\ \\ P=\frac{force\cdot dis\tan ce}{\text{time}} \end{gathered}[/tex]

Step 2

replace,with the data

[tex]\begin{gathered} Power=\frac{force\cdot dis\tan ce}{\text{time}} \\ Power=\frac{\cdot900\text{ Newtons}\cdot3\text{ mt}}{\text{6}0\text{ sec}} \\ \text{Power}=\frac{2700}{60}\frac{N\cdot m}{\sec } \\ \text{Power}=45 \end{gathered}[/tex]