Easy conceptual energy problem?

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Homework Help Overview

The discussion revolves around a conceptual energy problem involving a bead sliding on a wire in a vertical plane, influenced by gravity and friction. Participants analyze various statements regarding the bead's kinetic and potential energy at different points along its path.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationships between kinetic and potential energy at various points, questioning the effects of friction and gravity on the bead's motion. Some express uncertainty about the impact of friction on energy conservation and the bead's speed at different locations.

Discussion Status

Several participants have offered their interpretations of the energy relationships, with some suggesting that the original poster's answers may be correct. Others have pointed out potential misunderstandings regarding the influence of friction and gravity, leading to further exploration of the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment that requires them to select true/false or comparative statements about energy without providing complete solutions. There is an emphasis on understanding the underlying concepts rather than simply arriving at the correct answers.

mot
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"Easy" conceptual energy problem?

Homework Statement


Here's the diagram

http://nkkkjkjjjjjjjjjjj.tumblr.com/image/65137695911
A bead slides on a wire, which is in a vertical plane, as shown in the diagram. Gravity acts in the -y direction. The bead starts at A, moving to the right with an initial velocity v. The wire is frictionless between A and D and between F and G, but there is friction between D and F. (For each statement select True, False, Greater than, Less than, Equal to, or Not enough information to tell.
1. The bead's kinetic energy at B is ... its kinetic energy at F
2. Between A and C, there is positive work done on the bead
3. Between D and F, the speed decreases, then increases
4. The speed at C is ... the speed at E

Homework Equations


E_g=mgy
E_k=1/2mv^2

The Attempt at a Solution


The bead's kinetic energy at B is ... its kinetic energy at F: For this is said greater than because, although they are at the same height, all the energy is not conserved because it experiences friction between D and F.
Between A and C, there is positive work done on the bead
I said True because the dispacement is in the same direction as the force of gravity
Between D and F, the speed decreases, then increases
I said true for this one. At D it experiences friction and slows down while moving horizontally, then it starts to go down, so a component of gravity acts to accelerate it. Even if it is still slowing down, it's still speeding up relative to its speed at E.
The speed at C is ... the speed at E
I put not enough info...We don't know how much friction slowed the bead down between D& E compared to how much it "sped up" on that decline between C & D.

But these answers are wrong...can someone help? Thanks so much!
 
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Your solutions look correct to me.
Welcome to PF
 
Last edited:
Your answer to 3 looks wrong. You don't know whether gravity will win out over friction. So, it could still be slowing from E to F. Not enough info.
 
Chestermiller said:
Your answer to 3 looks wrong. You don't know whether gravity will win out over friction. So, it could still be slowing from E to F. Not enough info.

That was it! It makes sense too. The "deceleration" from E to F should be less than D to E, but it could still be slowing relative to the speed before D, or it could be speeding up depending on the angle.
Thanks! :)
 
Chestermiller said:
Your answer to 3 looks wrong. You don't know whether gravity will win out over friction. So, it could still be slowing from E to F. Not enough info.

agree
 
mot said:
That was it! It makes sense too. The "deceleration" from E to F should be less than D to E, but it could still be slowing relative to the speed before D, or it could be speeding up depending on the angle.
Thanks! :)

Also note that the slope between E and F never becomes vertical, so there is always going to be a normal force. This allows a frictional force to always be present over the entire path between E and F.

Chet
 
the same diagram but different question, mine is
True False Greater than Less than Equal to Not enough information to tell The bead's potential energy at B is ... its potential energy at F
True False Greater than Less than Equal to Not enough information to tell Between A and B, the speed increases
True False Greater than Less than Equal to Not enough information to tell The speed at C is ... the speed at E
True False Greater than Less than Equal to Not enough information to tell Between D and E, there is positive work done on the bead,
i choose these answers but its incorrect i don't know which one do i get wrong
 
the same diagram but different question, mine is
The bead's potential energy at B is ... its potential energy at F
Between A and B, the speed increases
The speed at C is ... the speed at E
Between D and E, there is positive work done on the bead,
the first one i choose greater than , second i choose true,third i choose not enough inform, the last one i choose false
i choose these answers but its incorrect i don't know which one do i get wrong
 
Please tell us your rationale for each of your choices. That's more important than getting the actual right answer.

Chet
 
  • #10
i think EP B is GREATER than F is because when its the same height F experience the friction which means that the Ep is not all transferred at position F
and i think the speed is increasing from A to B due to the conservation of energy mgh(i) + 1/2mv(i)^2= mgh(f)+1/2mv(f)^2,so as the height decrease the speed will increase.speed between C and E is not enough inform to tell since E undergoes friction but c has the larger height, and the last one i think it should be negative,because they have the same height and when undergoing the friction its a process of losing energy which will cause negative work , this is my understanding i am not sure whether it's correct or not
 
  • #11
Ruobing Shao said:
i think EP B is GREATER than F is because when its the same height F experience the friction which means that the Ep is not all transferred at position F
This is the one that's wrong. Now that you know it, can you figure out why?

Chet
 
  • #12
sorry i don't get why, wait is that because potential energy is no relation to friction since kinetic energy will be the one matters?
 
  • #13
i get it , it should be equal thank you so much
 

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