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Kappa Alpha Theta Summer 2011 | Just another WordPress.com site

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Perambulatory Bear 8/1/11 | Kappa Alpha Theta Summer 2011

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Kappa Alpha Theta Summer 2011. August 2, 2011 at 10:26 am Posted in problem of the day solution. A bear walks one mile south, one mile east, and one mile north. It winds up where it started. What are all the possible starting locations? It could start at the north pole, which is easy to check. Similarly, there is a line of latitude whose length is 1/2 a mile. The bear could start a mile north of this, walk around this line of latitude twice, and return home. Etc. Leave a Comment ». Enter your comment here.

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Penguin on a Rubber Band 7/3/11 | Kappa Alpha Theta Summer 2011

https://epgykat.wordpress.com/2011/08/04/penguin-on-a-rubber-band-7311

Kappa Alpha Theta Summer 2011. Penguin on a Rubber Band 7/3/11. August 4, 2011 at 7:56 am Posted in problem of the day solution. Suppose there is a penguin on the right hand side of a rubber band of length. A polar bear grabs the right hand side of the rubber band and begins pulling it with speed. The penguin simultaneously begins waddling towards the left at speed. The left hand side of the rubber band is fixed. Does the penguin ever reach the left hand side of the rubber band? How long does it take?

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Chessboard of Death 7/31/11 | Kappa Alpha Theta Summer 2011

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Kappa Alpha Theta Summer 2011. Chessboard of Death 7/31/11. August 1, 2011 at 10:37 pm Posted in problem of the day solution. Chessboard. Each square has an arrow on it pointing to one of the eight surrounding squares. Every time you move between adjacent squares (those sharing an edge), the arrow rotates plus or minus 45 degrees, or stays the same. I am going to describe an answer, rather than write out full detail. Take the hypothetical board with a loop and rotate every arrow 45 degrees clockwise (ass...

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Kappa Alpha Theta Summer 2011 | Just another WordPress.com site | Page 2

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Kappa Alpha Theta Summer 2011. August 1, 2011 at 9:58 pm Posted in problem of the day solution. A chimney falls. Where is it most likely to break during the fall? This problem is from the Harvard Physics Problem of the Week. I refer you to their solution. Rolling a 4 7/27/11. July 28, 2011 at 10:53 am Posted in problem of the day solution. What is the expectation value of the number of rolls of a fair die needed to get a 4? The expectation value is. This means we need to sum. And integrate with respect to.

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Penguin on a Precipice 8/2/11 | Kappa Alpha Theta Summer 2011

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Kappa Alpha Theta Summer 2011. Penguin on a Precipice 8/2/11. August 4, 2011 at 7:49 am Posted in problem of the day solution. A penguin stands on the edge of a cliff. It waddles in steps that are either forward, towards the cliff (or over it, as the case may be), or backwards, away from the cliff. It always has a 2/3 chance to step backwards and a 1/3 chance to step forward. What is the probability of the penguin’s survival in the limit as the number of steps taken goes to infinity? Steps from the death.

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Kappa Alpha Theta Summer 2011. August 4, 2011 at 8:13 am Posted in problem of the day solution. You dig a straight tunnel between two points on the surface of the Earth. You drop a ball down. How long does it take to go through? Assume the Earth isn’t spinning and that it’s a perfect sphere of uniform density, and that the tunnel is frictionless and very small compared to the Earth. Let the tunnel have an impact parameter. The kinetic energy of the ball is. Thus, the only effect of. How long does it take?

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