Problem You have five Turkeys. If you weigh them in every possible combination of 2, the weights are 16, 18, 19, 20, 21, 22, 23, 24, 26, and 27 kg. What are the individual weights? Solution Come back next week for the solution. If you have a tricky or interesting problem that you’d like to [...]
Problem The bobs of two pendulums are connected by a spring. When one is moved by an angle (theta) theta and released, what is the resulting motion? Do they eventually have the same energy? For physics students, let the pendulums length=L, point mass=M, and spring constant=K. Find the equations of motion for both pendulums. Solution [...]
Problem Solve this simple arithmetic by replacing each # sign with a different digit, 1-9, using each digit only once. ## represents a two-digit number. ## x # —– ## + ## = ## Solution When filled in correctly, the equation is: 17 x 4 —– 68 + 25 = 93 If you have a [...]
Problem Three Cowboys Arden, Begley, and Corry compete in a duel. Arden and Begley are both sure shots (they hit their targets 100 percent of the time) while Corry only hits his target 50% of the time. Everybody has perfect knowledge (knows everybody’s percents, knows that everbody knows everybody’s pecents, knows everybody knows that everybody [...]
Problem You are given ten pennies arranged like this picture. Move three of them so that the arrow in the opposite direction. Solution Take the top penny and move it to a new row, in the center, under the bottom row into the following configuration: x x x x [...]
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Problem While this problem looks straight from a differential calculus textbook, it requires no advanced math. Two bugs sit on either side of a bubble. The radius r of the bubble is expanding with dr/dt=3 cm/s. The distance between the bugs is d and they sit on either side of a 60 degree arc, find [...]