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  1. M

    Light refracting through a plastic sphere

    Homework Statement A small light bulb is placed 10.0 cm from the center of a plastic sphere of radius 1.0 cm and refractive index 1.40. Where is the image of the bulb? Homework Equations 1) Thin lens equation 2) Thick lens equation The Attempt at a Solution I realize that I'm...
  2. M

    Area of triangle given 3 vectors pointing to vertices

    Yep, you're right. One of those was supposed to be an A cross B. Thanks.
  3. M

    Area of triangle given 3 vectors pointing to vertices

    So, the area of the triangle between two vectors (let's say A and B) is 0.5|Axb| right? I still don't see how I can use that to solve this. I can find the area of every triangle but the one I need. EDIT: Alright, I was just being a dummy. I redrew my picture so that each of the vectors point...
  4. M

    Area of triangle given 3 vectors pointing to vertices

    Homework Statement Three vectors A, B, C point from the origin O to the three corners of a triangle. Show that the area of the triangle is given by area = \frac{1}{2}|(B\timesC) + (C\timesA) + (A\timesC)| Homework Equations area of triangle with sides a, b, c = \frac{1}{2}|a\timesc|...
  5. M

    Metal block sliding horizontally

    Homework Statement A metal block of mass m slides on a horizontal surface that has been lubricated with a heavy oil so that the block suffers a viscous resistance that varies as the 3/2 power of the speed: F(v) = -cv3/2 If the initial speed of the block is vo at x = 0, show that the block...
  6. M

    Trajectory of a ball

    Homework Statement A cannon shoots a ball at an angle \theta above the horizontal ground a) Neglecting air resistence, find the ball's position (x(t) and y(t)) as a function of time. b) Take the above answer and find an equation for the ball's trajectory y(x). Homework Equations...
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