What is the kinematics of a constant power motion?

AI Thread Summary
The discussion revolves around the kinematics of an object moving under a constant power source, emphasizing the need for a pedagogical approach to the topic. Participants suggest that the paper should include a derivation of relevant equations and clarify the meaning of "pedagogical discussion." There is a request for examples of real-world processes that exhibit constant power characteristics to enhance the understanding of the motion described. Feedback includes a note about a minor typo in the paper and a general appreciation for the approach taken. Overall, the conversation highlights the importance of both theoretical and practical insights in understanding constant power motion.
LeroyR/T
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This isn't really a homework problem, but it has to do with classwork.

Homework Statement


Suppose and object is constrained to move only in one dimension and, subsequently, moves solely under a constant-power source. You are invited to provide a pedagogical discussion about the kinematics describing the motion of the object


Homework Equations



Supposed to find those.

The Attempt at a Solution



Attached my paper.


Yes, it's my first time posting and hope you all will not fault me for that. All I need help with is if yall think that this paper will suffice for this question. thanks! :biggrin:

EDIT: fixed
 

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Welcome to the PF. You could save the document as a PDF and upload it -- there is a free PDF writer at PrimoPDF.com:

http://www.primopdf.com/

Or you could try saving it in one of the other formats that are supported by the PF software.
 
berkeman said:
Welcome to the PF. You could save the document as a PDF and upload it -- there is a free PDF writer at PrimoPDF.com:

http://www.primopdf.com/

Or you could try saving it in one of the other formats that are supported by the PF software.

Thanks. So far this semester 2 other classmates and I have been struggling through our first year of physics. I decided to join here for the last month or 2 and hopefully for physics 2. I've seen that this is an amazing place to find information.
 
Anyone?
 
Interesting paper. I didn't go through all the math, but it looked like your approach was okay. I did see at least one small typo in the beginning of the paper:

There are four variables associated with finding describing the motion of an object

Probably deleting the word "finding" would fix it.

Also, I'm not sure what they are asking for when they say "pedagogical discussion". I guess that literally means a teaching discussion, and maybe deriving those equations is what they mean. But for me, I'd like to also see a discussion of what real-world processes might exhibit this constant power characteristic, and what kinds of real-world motions that would result in.

Can you give some examples? Do you think it would help the paper to list some of those examples? (If you don't think so, that's fair.)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Electric field due to charges between 2 parallel infinite planes'

TL;DR Summary: Find Electric field due to charges between 2 parallel infinite planes using Gauss law at any point Here's the diagram. We have a uniform p (rho) density of charges between 2 infinite planes in the cartesian coordinates system. I used a cube of thickness a that spans from z=-a/2 to z=a/2 as a Gaussian surface, each side of the cube has area A. I know that the field depends only on z since there is translational invariance in x and y directions because the planes are...
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