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  1. H

    ##\int (\sin x + 2\cos x)^3\,dx##

    Homework Statement $$\int (sinx + 2cos x)^3dx$$ Homework Equations The Attempt at a Solution $$\int (sinx + 2cos x)^3dx$$ $$\int (sinx + 2cos x)((sinx + 2cos x)^2dx)$$ $$\int (sinx + 2cos x)(1 + 3cos^2x+2sin2x)dx$$ How to do this in simpler way?
  2. H

    Find induced current, magnetic force, work in inclined plane

    Homework Statement A conducting bar slides down without friction on a pair of conducting rails separated by distance d. Connected to resistor R and there magnetic field B directed upward, perpendicular to the ground over the entire region through which the bar moves. 1) find the current 2)...
  3. H

    Electric Force on a Charge in a Solenoid

    Could it be like this? Force direction the same as Emf's ?
  4. H

    Electric Force on a Charge in a Solenoid

    Homework Statement Since i only know the field direction, increasing go into page. Why the answer is C? Why the answer "a" ? The R and r on the pic is respected to what? Homework Equations The Attempt at a Solution Right hand rule : finger tip = current Thumbs = force Palm = B Or...
  5. H

    Find the minimum distance between 2 particles

    Ek at min distance is zero. Ep = kQq/r_2 r_2 is the min distance K = 1/4pi.epsilon0 Ek1 + Ep1 = Ep2 + 0 Solve for r2 Thanks all
  6. H

    Find the minimum distance between 2 particles

    Yes.. the problem i get is non constant of acceleration. @Charles Link also pointed out important thing for me.
  7. H

    Find the minimum distance between 2 particles

    Homework Statement A point particle of mass m and charge q(>0) approaches to a point particle Q(>0) at a fixed position. When the distance between the two particles is L, the speed of the moving particle is v. The permittivity of the vacuum is denoted as Epsilon0. Find the minimum distance...
  8. H

    New wave after superposition (interference)

    Oh. So superposition is y1 + y2 ? Why superposition not happen to be y1 - y2? How to know if both waves get destructive or constructive interference?
  9. H

    New wave after superposition (interference)

    Homework Statement 1. Homework Statement [/B] The displacement y of standing wave that is obtained by a superposition of waves : Y1 = 3 sin (2##\pi##(0.5t - 0 25 x)) Y2 = 3 sin (2##\pi##(0.5t + 0 25 x)) Homework Equations Formula for standing waves Y = 2Asinkx coswt The Attempt at a Solution...
  10. H

    Find the change in the Kinetic energy of an Ideal Gas

    So, p f = 0.3 p i Not that pf 0.3 lower than pi?
  11. H

    Find the change in the Kinetic energy of an Ideal Gas

    Wow. Thanks a lot for reviewing all questions
  12. H

    Find the change in the Kinetic energy of an Ideal Gas

    This is the full questions. Hope it still readable
  13. H

    Find the change in the Kinetic energy of an Ideal Gas

    Is this related to number 2? Or what?
  14. H

    Find the change in the Kinetic energy of an Ideal Gas

    Hmm.. The volume doubled and pressure 0.3 lower than before. Gases do work. But in adiabatic condition Q = 0 ##\Delta##U = W So Ek = W?
  15. H

    Find the change in the Kinetic energy of an Ideal Gas

    What am i supposed to do with number 2 btw?
  16. H

    Find the change in the Kinetic energy of an Ideal Gas

    Then, what is formula for Ek per n mole? 3/2nRT? When Ek for N molecule = 3/2NkT. Why is it the same formula as ##\Delta##U? ##\Delta##U is the total of Ek and Ep of molecules. If we asked to find Ek is the same as we find ##\Delta##U? Or what?
  17. H

    Find the change in the Kinetic energy of an Ideal Gas

    Temperature no changin. Hence, Ek2 the same as Ek1. The ratio Ek2/Ek1 = 1 Is it?
  18. H

    Find the change in the Kinetic energy of an Ideal Gas

    I see.. U independent of volume, how about the case when volume change and temperature change? So U depend on volume?
  19. H

    Find the change in the Kinetic energy of an Ideal Gas

    What does it mean when gas is in equilibrium? Adiabatic?
  20. H

    Find the change in the Kinetic energy of an Ideal Gas

    Hmm.. i see. Absolute temperature no depend on volume? If temperature not absolute? Will still not depend on volume?
  21. H

    Find the change in the Kinetic energy of an Ideal Gas

    Kinetic energy of one mol ideal gas
  22. H

    Find the change in the Kinetic energy of an Ideal Gas

    Kinetic energy. Which formula is 3/2kT Kinetic energy defined based on average velocity of molecules. Is it?
  23. H

    Find the change in the Kinetic energy of an Ideal Gas

    So, the question says "how many times Ek become greater", in the sense that we are to find the ratio? The ratio A to B is the same as how many times A bigger than B?
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