Recent content by napoleonmax

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    High School Why Does Hot Air Rise Above Cooler Air?

    I think that layers of cold and hot DO mix, just not necessarliy at a very fast rate. The laws of thermodynamics state that heat moves form more dense to less dense, so hotter regions must get colder and vice verse. However, in a lake, the top is getting much more sunight than the bottom and...
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    High School Why Does Hot Air Rise Above Cooler Air?

    Hmmmmm... I'm not sure it has to do with buoyancy (though this would appear to make sense). I remember reading somewhere the fire system used on the International Space Station and it said the flames do not rise in space but rather moves in all directions. Therefore, I think Loren Booda's...
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    Undergrad Finding a limit through algebra

    This is actually easy if you forget everything about calc. for a sec. Looking at this equation simply, the numerator goes to negative infinity as x goes to zero and the denominator goes to a negative infitesimal number (-.00000000000...1). This fraction goes to positive infinity. Using...
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    High School Questions About Intervals in Calculus for 14 Year Olds

    A good way to solve for unions and intersections (if you're really stuck) is to draw a number line with both sets on it. Union is all the numbers in both sets while intersection is the common numbers. ex. _____-1_____0_____1___ <~~~~~~~o (-infinity, 0)...
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    Undergrad Solving Newton's Gravity Equation: Acceleration & Masses

    I was thinking about Newton's gravity equation: F = G * m(1) *m(2) / r^2. I wanted to find the acceleartion due to gravitational attraction that would occur between two objects of different masses so I used the equation F=ma. Then I ran into difficulty: should I use the sum of the masses to...