Autotheist's Problem Page
The problems listed
on this page are taken from a variety of books, as well as recommedations
from my loyal followers. The subjects vary depending on what people suggest
and respond to. Solutions tend to follow after a certain number of people
have viewed it, though I may change the problems depending upon my free
time. There are no prizes, except for the knowledge that you have solved
a problem that has puzzled others:
ENJOY
Problem 3 (Mathematics)
The millionaire of Problem 2 is crazier than you first thought. He has
a weight for each 1/3 of a gram (1/3 , 2/3, 3/3, 4/3, ...) up to a kilogram.
He still wants to be able to weigh the same quantities after you take some
of the weights. Which weights should you leave the eccentric man?
Problem 4 (Physics)
Five stuntmen are riding upon a large sled across an icy pond. In the center
of the pond is a hole exactly the same size as the sled, and the stuntmen
are travelling towards it at near the speed of light. When they reach the
hole, a man standing beside the hole hits the sled with a sledgehammer
to drive it into the hole. According to the stuntmen, the hole decreases
in length due to the effects of special relativity, and thus they slide
over and do not fall in. But the man standing beside the hole sees the
length of the sled decrease due to relativity, and so the sled slips easily
into the hole. Clearly the stuntmen or the hammer man cannot both be right,
so what happens?
Problem 5 (Physics)
While at the fair, you decide to try your luck at one of the game
booths. In one booth, there is a heavy ball suspended from the roof by
a string, and directly below the attachment point is a pile of milk cans.
The object of the game is to throw the ball such that it passes beside
the cans and then hits them from behind. Although it seems simple,
winning is impossible unless you know the physics behind the game. How
can you win this game?
For solutions to previous problems,
click here.
