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 Gravity experiment (Posted on 2006-05-04)
You are studying the effects of gravity on clay spheres. You conjecture that they will shatter... but at what height? You want to find out the smallest integral height in meters from which the clay will fall and shatter.

Unfortunately, you only have four identical clay spheres, at least until the company that makes them starts returning your calls. Also, you only have enough time for 8 tests, during which the general area will be cleared of people. Last time someone did such an experiment, an egg... well, it was messy. Up to what height can you test the effects of gravity on the clay?

 See The Solution Submitted by Tristan Rating: 4.3333 (3 votes)

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 re(4): Question | Comment 25 of 29 |
(In reply to re(3): Question by Eric)

Thanks Eric

There are 7 ways with 2 spheres & 3 tests to be done.

a) 3 1  - break point = 1

b) 3 1 2 - break point = 2

c) 3 1 2 - break point = 3

d) 3 5 4 - break point = 4

e) 3 5 4 - break point = 5

f) 3 5 6 - break point = 6

g) 3 5 6 - break point unknown

Where number with an underscore means it shatters at that point. Incase g) we are not sure where it will shatter.

 Posted by Salil on 2006-05-08 19:48:21

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