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  1. Yae Miteo

    Loop-the-loop with potentional and kinetic energy

    Centripetal acceleration must be greater than gravitational acceleration.
  2. Yae Miteo

    Loop-the-loop with potentional and kinetic energy

    Hmm... if it had zero velocity at the top, it would stop and fall straight down. I need to develop a different approach. Perhaps at the top
  3. Yae Miteo

    Loop-the-loop with potentional and kinetic energy

    It needs enough kinetic energy to reach the top, which gets turned into potential energy right when it gets there. That way, it will make it around the loop.
  4. Yae Miteo

    Loop-the-loop with potentional and kinetic energy

    Homework Statement A mass m = 77 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 15.1 m and finally a flat straight section at the same height as the center of the loop (15.1 m off the ground). Since the mass would not make it around the loop if...
  5. Yae Miteo

    Pendulum Velocity

    The initial energy will all be potential (PE = mgh) and the final energy will be entirely kintic (KE = 1/2 mv^2)
  6. Yae Miteo

    Pendulum Velocity

    Homework Statement A mass m = 5.5 kg hangs on the end of a massless rope L = 1.81 m long. The pendulum is held horizontal and released from rest. How fast is the mass moving at the bottom of its path? Homework Equations a_c = \frac {v^2}{r} F = ma v = v_o + at The Attempt at a Solution I...
  7. Yae Miteo

    Spring launched box sliding over friction surface

    Homework Statement A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4085 N/m after being compressed a distance x_1 = 0.546 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d =...
  8. Yae Miteo

    Work by tension on masses

    Thank-you so much guys! I got it figured out.
  9. Yae Miteo

    Work by tension on masses

    So then into W=Fd W=\cfrac{m_1m_2gd}{m_1 + m_2}
  10. Yae Miteo

    Work by tension on masses

    I worked it like this: tension will equal the sum of both forces, so m_2a + m_2g = T and T = m_1a solve for a a = \cfrac{m_2g}{m_1 + m_2} plug in T = \cfrac{m_1m_2g}{m_1+m_2}
  11. Yae Miteo

    Work by tension on masses

    And the 2nd law equations for tension are F_1=m_1a F_2=m_2g right?
  12. Yae Miteo

    Work by tension on masses

    yes, it was a typo
  13. Yae Miteo

    Work by tension on masses

    So, solving for tension, I get T = \cfrac{m_1m_2g}{m_1-m_2} and then putting it into W=Fd I get W=\cfrac{m_2m_2gd}{m_1+m_2} Is this correct?
  14. Yae Miteo

    Work by tension on masses

    Would tension then be T=m_1g or would it involve both mass 1 and mass 2?
  15. Yae Miteo

    Work by tension on masses

    After doing that, I get this. F=ma so T=m_2g to get a, I solve F=ma to get a=F/m (and m is m_1 + m_2), and then plugin into W = Fd I get W=mad so W= \frac{(m_2)(T)(d)}{m_1 + m_2} and plugging in I get W=10.3177 which is wrong. I think I'm even closer, but there is an error somewhere, maybe...
  16. Yae Miteo

    Work by tension on masses

    Homework Statement A mass m_1 = 4.1 kg rests on a frictionless table and connected by a massless pulley to another mass m_2 = 3 kg, which hangs freely from the string. When released, the hanging mass falls a distance d=0.83m. How much work is done by tension on m_1? Homework Equations v^2 =...
  17. Yae Miteo

    Engineering Engineering with math major

    I am majoring in applied math and considering a minor in physics. Would it be reasonably possible for me to get a job in engineering (electrical or mechanical) with only that background?
  18. Yae Miteo

    Find parametric equations for the tangent line

    I made a mistake. I meant to say tangent vector.
  19. Yae Miteo

    Find parametric equations for the tangent line

    Homework Statement Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Homework Equations x = 1+2 \sqrt{t}, \quad y = t^3 - t, \quad z = t^3 + t, \quad (3, 0, 2) The Attempt at a Solution I began by...
  20. Yae Miteo

    Vector function intersection

    Awesome! Thank-you.
  21. Yae Miteo

    Self-taught physics

    (I would like to apologize if this is in the wrong forum; I wasn't sure where to put it) Anyway, I am very interested in studying physics, but my degree (CS) only requires one basic class in classical mechanics. I could take more physics courses to fill science electives, but the physics...
  22. Yae Miteo

    Vector function intersection

    Homework Statement "Find a vector function that represents the curve of intersection of the two surfaces." Homework Equations Cone: z = \sqrt{x^2 + y^2} Plane: z = 1+y The Attempt at a Solution I began by setting x=cos t, so that y = sin t and z = 1+sin t. At this point...
  23. Yae Miteo

    Relative velocity of plane with vectors

    Homework Statement The problem is worded thus: You are on an airplane traveling 30° south of due west at 130 m/s with respect to the air. The air is moving with a speed 30 m/s with respect to the ground due north. (a) What is the speed of the plane with respect to the...
  24. Yae Miteo

    What time are two thrown balls at the same height?

    Homework Statement A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 23.8 m/s, from a height of 0.8 meters above the ground. The force...
  25. Yae Miteo

    Integration by parts with e and sine

    Homework Statement Evaluate the integral. Homework Equations \int e^{2x} sin(3x) dx The Attempt at a Solution I began by using integration by parts. u = sin(3x) v = \frac {e^{2x}} {2} du = 3 cos(3x) dv = e^{2x} dx but I get stuck after that because the...
  26. Yae Miteo

    Problem with trig integral

    Homework Statement Evaluate the integral. Homework Equations \int sin^2(\pi x) cos^5 (\pi x) dx The Attempt at a Solution I tried first by splitting the cosine up \int sin^2(x) [1-cos^2(x)] cos^2(x) cos(x) dx and from there use u-substitution. However, I am not sure what...
  27. Yae Miteo

    Problem with series

    Homework Statement Determine whether the series is convergent or divergent. If it is convergent, find its sum. Homework Equations \sum_{n=1}^{\infty} \frac{1 + 2^n}{3^n} The Attempt at a Solution Hello, I have tried to find the sum of this series using both the...
  28. Yae Miteo

    Planetary Composition

    Oh, and once again, this may be more appropriate for the math forums, but how do I find ρ?
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