Instantaneous Power (Mastering Physics)

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Homework Help Overview

The problem involves calculating the instantaneous power generated by a force acting on a sled that is accelerating on a horizontal surface. The sled is subjected to a constant force and the task is to determine the power at a specific time during its acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between power, force, and velocity, with one participant noting the formula for power as P = Fv. There is a focus on distinguishing between average power and instantaneous power, with questions about the appropriate application of formulas.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the power equations. Some guidance has been offered regarding the use of instantaneous values for force and velocity, but no consensus has been reached on the next steps to solve the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is an emphasis on calculating power at a specific moment in time, which may affect the approach taken.

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Homework Statement




Let us now consider several questions that include numeric data.

A sled is being pulled along a horizontal surface by a horizontal force F of magnitude 600 N. Starting from rest, the sled speeds up with acceleration 0.08 m/s2 for 1 minute.

Find the instantaneous power P created by force F at t=10s.

Express your answer in watts to three significant figures.

Homework Equations



Pavg = [tex]\frac{\Delta W}{\Delta t}[/tex]
P = [tex]\frac{dW}{dt}[/tex]

The Attempt at a Solution


I have solved for velocity after 10s.

v = 0.8 m/s

I'm stuck at where to go from here.
 
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Do not forget that Power can also be expressed as P = Fv
 
Mattowander said:
Do not forget that Power can also be expressed as P = Fv

If I'm not mistaken, that is the formula for Pavg. I am trying to solve for the instantaneous power, unless you know something I don't.
 

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