Given data:
* The power of the engine is,
[tex]P=5\times10^4\text{ watts}[/tex]
* The force exerted by the engine is,
[tex]F=2.5\times10^3\text{ N}[/tex]
Solution:
The power of the engine in terms of force and average speed is,
[tex]P=Fv[/tex]
where v is the average speed,
Substituting the known values,
[tex]\begin{gathered} 5\times10^4=2.5\times10^3\times v \\ v=\frac{5\times10^4}{2.5\times10^3} \\ v=2\times10^{4-3} \\ v=20\text{ m/s} \end{gathered}[/tex]
Thus, the average speed of the vehicle is 20 meters per second.
