Energy, work, 2 masses on incline

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Homework Help Overview

The problem involves two blocks with masses m1=4.0kg and m2=5.0kg connected by a rope, sliding down a frictionless wedge at angles of 37 degrees and 53 degrees, respectively. The objective is to determine the speed of m2 after it has moved 40.0cm along the incline, starting from rest.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of energy, noting that m2 loses gravitational potential energy while gaining kinetic energy, and m1 gains potential energy. There is uncertainty about how to calculate the height for m2's gravitational potential energy and how to incorporate m1 into the energy equations. Some participants question the initial conditions, particularly regarding the kinetic energy of both masses starting from rest.

Discussion Status

Participants are actively engaging with the problem, exploring different interpretations of energy conservation. Some have calculated potential energy for m2 and are attempting to set up the energy equations, while others are clarifying the roles of kinetic and potential energy for both masses. There is no explicit consensus yet, but the discussion is progressing with various insights being shared.

Contextual Notes

Participants are working under the assumption that the system is frictionless and that energy is conserved. There is ongoing discussion about the reference point for height and the implications of starting from rest.

  • #31
FurFur said:
After I've substituted the numbers I get:
15.68 - 9.408= 2v1^2' + 2.5v2^2'
im not sure what to do with the right side mathematically

How are v1 and v2 related? Can you rewrite it so that you only get one unknown?
 
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  • #32
well v1 and v2 must be the same.
15.68 - 9.408= 2 (v1^2' + 1.25v2^2')
this still leaves me with 2 unknowns..but both unknowns are equal..hmm
 
  • #33
FurFur said:
well v1 and v2 must be the same.
15.68 - 9.408= 2 (v1^2' + 1.25v2^2')
this still leaves me with 2 unknowns..but both unknowns are equal..hmm

If they are both the same (and they are), give them the same name. Call them both v. Then you have only one unknown.


Or, if you want to look at it another way, you know that v1=v2, so replace v1 with v2 in your equation.
 
  • #34
oh right! Okay so the equation is:
15.68 - 9.408= 2v^2 + 2.5v^2
6.272= 4.5v^2
6.272/4.5 = v^2
1.39]square root = v
1.18 m/s= v
that seems right.
 
  • #35
FurFur said:
oh right! Okay so the equation is:
15.68 - 9.408= 2v^2 + 2.5v^2
6.272= 4.5v^2
6.272/4.5 = v^2
1.39]square root = v
1.18 m/s= v
that seems right.


That looks right to me.

So the interpretation of the energy formula might be, m2 loses potential energy, which is transformed into increasing potential energy for m1 and also increasing kinetic energy for m1 and m2.
 
  • #36
right, since m2 is going down and m1 is going up. It makes perfect sense. Well thank you so much for the help:) and for ur time, it took a while (what a tedious question -_-.. maybe because I am reali slow at physics). By the way, how would I mark that the question has been solved?
 
  • #37
FurFur said:
right, since m2 is going down and m1 is going up. It makes perfect sense. Well thank you so much for the help:) and for ur time, it took a while (what a tedious question -_-.. maybe because I am reali slow at physics). By the way, how would I mark that the question has been solved?

Sure, glad to help! And the more you practice on these problems, the faster you'll go. It's easy to write down the equations, but it can sometimes be difficult to understand how to apply them until you have enough experience.

I don't think you can mark threads solved right now; that function went away recently after an upgrade, but I think it is planned on being fixed.
 
  • #38
oh okay. Yea I'm going to keep practicing since practice makes perfect.
 

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