Recent content by sushichan

  1. sushichan

    [Mechanics] Circular motion outside sphere

    Homework Statement A marble rolls from the top of a big sphere. What is the angle θ when the marble is about to leave the sphere? Assume a zero speed at the top. Homework Equations The question came from the chapter Mechanics - circular motion. The Attempt at a Solution I can't conceive what...
  2. sushichan

    [Mechanics] Tension in bungee jumping

    Homework Statement A bungee jumper of mass 60kg jumps from a bridge 24 m above the surface of the water. The rope is 12 m long and is assumed to obey Hooke's law. What should the spring constant of the rope be if the woman is to just reach the water? Homework Equations Ep=mgh E=1/2 kx^2 The...
  3. sushichan

    Is (n^2+3)(n^2+15) divisible by 32 for odd positive integers n?

    Homework Statement Prove that (n2+3)(n2+15) is divisible by 32 for all odd positive integers n. Homework Equations I suppose we are supposed to use mathematical induction since it is in that chapter, but the following questions specifically state that we should use induction but this question...
  4. sushichan

    Oscillation of point charge due to electric field

    Homework Statement [/B] 14. Two positive point charges of magnitude Q and 9Q are a distance d apart, as shown in Figure 2.22 (image attached). a) Calculate the electric field strength at point P, a distance d/4 from Q. A third positive point charge is placed at P and is then displaced a bit to...
  5. sushichan

    Finding solution for three sets of planes

    Thank you! I re-did the question where the equation for my first plane is 2x - y + 6z = 17 and I got the answer :D
  6. sushichan

    Integrating 1/(1-x)^2 its making me crazy

    (1-x)^-4 = (-(x-1))^-4 = (-1)^-4 * (x-1)^-4 = (x-1)^-4
  7. sushichan

    Integrating 1/(1-x)^2 its making me crazy

    Just a question from me: how do you enter an equation? And notice that (1-x)^(-4)/(-4) does not equal to the two terms beside it. Basically you did two mistakes that made the sign change twice. [(1-x)^-4 = (x-1)^-4]
  8. sushichan

    Finding solution for three sets of planes

    Homework Statement (I did not copy the problem statement, but basically solve the system of equations if there is solution and give a geometrical interpretation) P1: 2x - y + 6z = 7 P2: 3x + 4y + 3z = -8 P3: x - 2y - 4z = 9 Homework Equations Scalar triple product: n1⋅(n2 × n3) The Attempt...
  9. sushichan

    How does tension affect the frequency of a standing wave on a string?

    Thank you all, I know how to solve it now ^^ It's just funny I don't see this formula in the textbook.
  10. sushichan

    How does tension affect the frequency of a standing wave on a string?

    Homework Statement A string is held under tension, with both ends fixed, and has a fundamental frequency of 250 Hz. If the tension is doubled, what will the new frequency of the fundamental mode be? Homework Equations The Attempt at a Solution I don't know how tension can affect the equation...
  11. sushichan

    How is Knowledge in Physics Produced?

    How is knowledge in physics produced? When I think about how Newton's First Law of Motion was produced, it first came from intuitive thought experiment due to the observations made. Can one actually observe an object moving with a constant velocity without any force acting on it? Or is reason...
  12. sushichan

    IB Physics HL student self-introduction

    About myself! I am a girl who studies International Baccalaureate in Stockholm. Our physics teacher's name is Paul Davis and it would be funny if I would meet him here. Ask my any questions if you want to know more about me haha.
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