30.3k views
1 vote
If a 900 newton tv is moved 3m in 60 seconds, how much power was used?A. 5B. 45

User Paganotti
by
3.5k points

1 Answer

7 votes

Step-by-step explanation

Step 1

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


P=\frac{W}{\text{time}}

and , the work is defined by:


\begin{gathered} \text{Work}=\text{ force }\cdot\text{ distance} \\ \end{gathered}

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


\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}

Step 2

replace,with the data


\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}=(2700)/(60)(N\cdot m)/(\sec ) \\ \text{Power}=45 \end{gathered}

User LBPLC
by
3.7k points