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Homework Help: Energy Problems (Help Greatly Needed!)

  1. Oct 24, 2004 #1
    I am having some difficulty answering a few problems on my physics homework.
    I don't think that I am coming up with the right equations for given situations in the problems. The questions are as follows:

    1. http://herograw.com/8-31.JPG [Broken]

    For this question I am getting [tex]- \frac{1}{2} m_1v^2 - \frac{1}{2} m_1v^2+m_2g\Delta h=-m_1\mu_kd[/tex] where m1 is the block in contact with the surface and m2 is the hanging sphere. When I solve the equation for v (velocity), I get v=4.77 m/s. However, I should be getting a result of 3.74 m/s.

    2. http://herograw.com/8-48.JPG [Broken]

    For this equation I get [tex]mgy_{max}-mgh=-mg \mu_k d[/tex] but there needs to be something with the angle to derive that equation given in the problem.

    3. http://herograw.com/8-60.JPG [Broken]
    http://herograw.com/figure8.60.JPG [Broken]

    When doing part (a) I was using the equation [tex]\frac{1}{2} m v^2+\frac{1}{2} k d^2=0[/tex]to find d. I got d=0.424 m but for part (b) I would just get v=3 m/s which is given in the question when the object is moving to the right. I'm not sure if this is right or if I'm approaching the question correctly.

    4. http://herograw.com/8-72.JPG [Broken]

    For this question I was able to find part (b) but I'm not sure how to start in finding part (a).

    Any Help is greatly appreciated.
     
    Last edited by a moderator: May 1, 2017
  2. jcsd
  3. Oct 24, 2004 #2

    Pyrrhus

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    Homework Helper

    1)

    You should have

    [tex] \frac{1}{2}m_{1}v^2 + \frac{1}{2}m_{2}v^2 - m_{2}gh = -\mu m_{1}gh [/tex]

    2)
    You should have

    [tex] mgy_{max} - mgh = -\mu mgcos\theta \frac{y_{max}}{sin\theta} [/tex]

    3) Read the problem again you seem to forgot friction on this problem
     
    Last edited: Oct 24, 2004
  4. Oct 24, 2004 #3
    I know that there is friction but when does it need to be accounted for?

    If I were to use [tex]\frac{1}{2} mv^2+\frac{1}{2} kd^2=-\mu_kmgd[/tex] I would have two variables to solve for because I do not know what the distance the block is sliding before it reaches the spring. Or are you saying that I need to use this equation for the other parts of the question if that is the right equation.
     
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