An engine rated at 5.0 3 104 watts exerts a constant force of 2.5 3 103 newtons on a vehicle. Determine the average speed of the vehicle.

Question

asked Dec 23, 2023 59.9k views

1 Answer

Rick Kukiela · Answer 1 · 2023-12-27T10:58:59+0000

Given data:

* The power of the engine is,

$P=5*10^4\text{ watts}$

* The force exerted by the engine is,

$F=2.5*10^3\text{ N}$

Solution:

The power of the engine in terms of force and average speed is,

where v is the average speed,

Substituting the known values,

$\begin{gathered} 5*10^4=2.5*10^3* v \\ v=(5*10^4)/(2.5*10^3) \\ v=2*10^(4-3) \\ v=20\text{ m/s} \end{gathered}$

Thus, the average speed of the vehicle is 20 meters per second.