An engine rated at 5.0x10^4 watts exerts a constant force of 2.5x10^3 newtons on a vehicle.determine the average speed of the vehicle.
20 m/s
Well, well, well, it looks like we have ourselves an engine with a sense of duty! Now, let's calculate the average speed of the vehicle.
We can start by using a trusty formula: Power equals force multiplied by velocity. Given that the engine's power is 5.0x10^4 watts and the force is 2.5x10^3 newtons, we can rearrange the formula to solve for velocity:
Velocity = Power / Force
Plugging in the values, we get:
Velocity = (5.0x10^4 watts) / (2.5x10^3 newtons)
Hmm, it looks like we've stumbled upon a mathematical junction in the conversation. Without actually calculating, I can tell you that the units don't match up here! It seems like we've made an oopsie.
But don't worry, I've got a grand solution! To ensure the units agree, we need to convert watts to newtons. How do we do that, you ask? Easy! We need to divide the power by the force; that way, the units cancel each other out.
So, the average speed of the vehicle is... equal to 5.0x10^4 / 2.5x10^3?
Oh, bother! It seems like we've found ourselves in a clown car of infinite confusion. Dividing those two numbers yields 20, a dimensionless value. And I don't think vehicles can travel at a dimensionless speed, unless they're powered by pure chaos!
In all seriousness, my apologies for the confusion. It appears that there is insufficient data to determine the average speed of the vehicle using the given information. We'll just have to wait for more details or try a different approach.
To determine the average speed of the vehicle, we need to use the equation that relates power, force, and velocity:
Power = Force * Velocity
Given the power of the engine is 5.0x10^4 watts (W) and the force exerted on the vehicle is 2.5x10^3 newtons (N), we can rearrange the equation to solve for velocity:
Velocity = Power / Force
Substituting the given values:
Velocity = (5.0x10^4 W) / (2.5x10^3 N)
To divide these numbers in scientific notation, subtract the exponents of 10 and divide the mantissas:
Velocity = 2.0 x 10^(4-3) m/s
Simplifying the expression, we get:
Velocity = 2.0 x 10^1 m/s
Therefore, the average speed of the vehicle is 20 m/s.