Recent content by kash25

  1. K

    Proving Linear Independence of Polynomials with Non-Zero Degrees | Math Solution

    Linear independence!? Homework Statement Let {p, q} be linearly independent polynomials. Show that {p, q, pq} is linearly independent if and only if deg(p)>=1 and deg(q)>=1. The Attempt at a Solution I am pretty sure the statement to prove is incorrect. If we use deg(p) = -1 and...
  2. K

    How Much Extra Rope is Needed to Raise it One Meter Above the Earth?

    I'm collecting some data for school and need data from as many people as possible. Thanks! Who can solve this problem in one try without looking at the answer?A fool wants to tie a rope around the earth. So he buys a rope of 40,000 KM and ties it around the world. His neighbour, also a fool...
  3. K

    Vector Spaces & Subspaces, Linear Algebra

    Homework Statement Let V be a vector space and U a subspace of V . For a given x ∈ V , define T= {x + u | u ∈ U }. Show that T is a subspace of V if and only if x ∈ U . Homework Equations Subspace Test: 1: The 0 vector of V is included in T. 2: T is closed under vector addition 3...
  4. K

    How can I find the acceleration of the plank

    Hi, If I have a plank (mass M) resting on two identical parallel cylinders (mass m, radius R) and I pull the plank with a horizontal force F (no slipping between cylinders and floor nor between plank and cylinders), what happens? How can I find the acceleration of the plank and the rolling...
  5. K

    Translational vs. Rotational Kinetic Energy

    Hi, Suppose I am trying to find the work done in bringing a resting cylinder to an angular speed of 8 rad/s. Why is it INCORRECT to find the corresponding tangential velocity at a point on the outer surface of the cylinder (using angular speed * radius = tangential speed) and use the...
  6. K

    Forced oscillation (mass & spring)

    stupid mistake..thanks for your help!
  7. K

    Forced oscillation (mass & spring)

    Homework Statement A 2 kg object attached to a spring moves without friction and is driven by an external force given by F = (3.00N)sin(2\pit). The force constant of the spring is 20.0N/m. Find the amplitude of the motion. Homework Equations I am not sure but I am trying to use: A =...
  8. K

    Calculate Height of Freely Falling Object - 30m in 1.5s

    i was doing that but i got different velocities depending on which equation i used...: velocity(Average)=(vsub30m + vsubground)/2 20 = vsub30m/2 vsub30m=40m/s if i do the same thing with the equation deltaX = vsub30m*t + .5at^2, i get something like 12.6 for vsub30m.. where am i going wrong?
  9. K

    Calculate Height of Freely Falling Object - 30m in 1.5s

    A freely falling object requires 1.50 s to travel the last 30.0 m before it hits the ground. From what height above the ground did it fall? I have been working on this for a while and seem to be going wrong somewhere. I am unclear as to how free fall is meant here. I know that it need...
  10. K

    Diffraction Grating: What's It Called?

    All I know is that the diffraction pattern somehow had no dark fringes...
  11. K

    Diffraction Grating: What's It Called?

    "Diffraction Grating" We did a diffraction experiment involving single slits, double slits, and a diffraction grating. Apparently the diffraction grating that we got was "different" (according to a classmate). The diffraction grating was "criss-crossed" and didn't produce any dark fringes on...
  12. K

    How Does Gauss' Law Account for the Negative Plate in a Capacitor?

    Hi, I have a problem with electric fields in capacitors. Using Gauss' Law, we always choose the Gaussian surface that encloses the positive plate in the capacitor. When we go through field calculations, we get an equation for the electric field and we use that to find voltage, capacitance...
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