Recent content by lotrgreengrapes7926

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    Complex numbers: don't understand graph of 1/z

    To fully graph it, you would need a 4-dimensional graph, with axes x,y,a,b, so that x+y\imath=\frac{1}{a+b\imath}. You could have 2 3-D graphs, z=\Re\left({\frac{1}{x+y\imath}}\right) and z=\Im\left({\frac{1}{x+y\imath}}\right).
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    Is Black a Colour? Examining the Definition and Perception of Black as a Colour

    This reminds me of the debate of Pluto's...planethood. The only reasons you would see a black object are 1) it's not truly black and reflects some light, 2) you "see" it because it is different from its surroundings. If you were in a sealed room, painted totally black, and you shined a...
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    Speed of sound - reaction time

    You could get someone to stand next to you and clap when they see the wooden blocks hit, with you looking away. Then, you can measure the time between the 2 claps.
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    What is the max. kinetic energy of the oscillation?

    Hint: Draw a picture and use the formula for period of a pendulum. Once you find the height between the highest and lowest points, you can find the kinetic energy.
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    What is the generalized formula for the exact value of a continued fraction?

    You could reach a compromise of k k+1 k+1/k k+1/(k+1) k+1/(k+1/k) k+1/(k+1/(k+1)) ... In this way, the values for k=-1 become: -1,0,-2,[\tex]und,-1.5,\to-1,-1.\overbar{6},\to-2,-1.6,\to-1.5,-1.625,\to-1.\overbar{6},..., tending towards -\frac{1+\sqrt5}{2} And for k=0...
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    How Does Mass Conversion Impact the Dynamics of a Relativistic Spaceship?

    The amount of matter being converted to energy is not proportional to the mass, it is constant. For example, for m=1000 and r=1, it will take 1000 seconds. 1) v=\frac{\sqrt{2rmt-r^2t^2}}{m}c 2) a=\frac{rm-r^2t}{m\sqrt{2rmt-r^2t^2}}c 3a) \displaystyle\int^{t}_{0}...
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    Understanding the Relationship Between Inertia and Momentum: Exploring p = mv

    Interia has no numerical value unlike momentum. It's just a property of an object based on its mass.
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    How Does Mass Conversion Impact the Dynamics of a Relativistic Spaceship?

    A spaceship of mass m\ \text{kg} is propelled by converting r\ \text{kg} of its mass into energy every second. Assume no friction and a perfectly efficient system. 1) Find the velocity of the spaceship at time t. 2) Find its acceleration at time t. 3a) Find the distance it has traveled...
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    I think this is another momentum question

    We had a similar problem in our physics class, but my physics teacher says the solution is incorrect. 1) How long was the impact, if it traveled .2 cm at 20 m/s? (This is the part that is incorrect.) 2) Ft=m(v_2-v_1)
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    What is the generalized formula for the exact value of a continued fraction?

    k=-1 has a well defined limit, while k=0 does not (it oscillates), although both will probably be considered invalid.
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    Trigonometry: Solving for Cosine Using Segment Angle and Triangle Properties

    You could use the Pythagorean Theorem to find the 3rd side. But, there is too much information, so \cos\beta can be expressed many ways.
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    Two Falling Stones and Their Center of Mass

    For part A, you should simply find where the 2 stones are at .6 sec, and find their center of mass.
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    Solving Equations with Trigonometric Functions and Exponentials: Tips and Tricks

    There is no absolute max or min. \displaystyle\lim_{x\to\infty} x-\sin(2\pi x)=\infty and \displaystyle\lim_{x\to-\infty} x-\sin(2\pi x)=-\infty.
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