Find Average Power Given Mass and Velocity

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Homework Help Overview

The problem involves calculating the average power produced by an engine that increases the speed of a vehicle over a specific time period, given the mass and initial and final velocities of the vehicle. The subject area is primarily focused on concepts of work, energy, and power in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between mass, velocity, and time in the context of calculating average power. The original poster attempts to apply the work-energy principle but expresses confusion regarding the calculations. Others suggest using acceleration and displacement to further the solution.

Discussion Status

The discussion is ongoing, with some participants providing guidance on how to approach the problem using the given information. There is recognition of a misunderstanding regarding the final velocity, which has been clarified by the original poster.

Contextual Notes

Participants note that the problem is constrained by the information provided, specifically the initial and final velocities, mass, and time, which are essential for calculating acceleration and subsequently, power.

Snape1830
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During 12 s an engine increases the speed of a 1.5×103-kg vehicle from 13 m/s to 27 m/s. Assuming no losses, what average power is the engine producing?

P = W/t
W=FΔx
W=ΔKE
ΔKE=mvf2-mfi2

I tried finding the change in kinetic energy to solve the problem, but it didn't work. I got 3.4E3 W. I'm really lost. I've never done a power problem given only velocity and mass.
 
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You aren't just given velocity and mass. You are given the initial and final velocities, along with the time. From this you can easily calculate the acceleration of the body.

Now that you have acceleration, you also get the force. And displacement should be easy to calculate from the equations of motion. Should be pretty easy from here on...
 
Infinitum said:
You aren't just given velocity and mass. You are given the initial and final velocities, along with the time. From this you can easily calculate the acceleration of the body.

Now that you have acceleration, you also get the force. And displacement should be easy to calculate from the equations of motion. Should be pretty easy from here on...

Thanks! And I realized my problem was that for some strange reason I was using 14 m/s as the final velocity instead of 27 m/s.
 
Glad to be of help! :smile:
 

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