All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General
Gravity experiment (Posted on 2006-05-04) Difficulty: 3 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Detailed Solution | Comment 15 of 29 |

The detailed list of heights are as follows

The first list of heights  are 64, 106, 132, 147, 155, 159, 161, 162

The second list of heights are ( 22, 38, 49, 56, 60, 62, 63), (80, 91, 98, 102, 104, 105), (117, 124, 128, 130, 131), ( 139, 143, 145, 146), ( 151, 153, 154), ( 157, 158 ), (160)

The Third list of heights are ((6, 11, 15, 18, 20, 21), (27, 31, 34, 36, 37 ), ( 42, 45, 47, 48 ), (52, 54, 55), (58, 59), (61)), ((69, 73, 76, 78, 79), (84, 87, 89, 90), (94, 96, 97), (100, 101 ), (103)), ((110, 113, 115, 116), (120, 122, 123), (126, 127), (129)), ((135, 137, 138), (141, 142), (144)), ((149, 150), (152)), (156)

The fourth list of heights are (((1, 2, 3, 4, 5), ( 7, 8, 9, 10), ( 12, 13, 14), (16, 17), (19)), (( 23, 24, 25, 26), (28, 29, 30), (32, 33), (35)), ((39, 40, 41), (43, 44), (46)), ((50, 51), (53)), (57))), (((65, 66, 67, 68), (70, 71, 72),(74, 75), (77)), ((81, 82, 83), (85, 86), (88)), ((92, 93),(95)), (99))), (((107, 108, 109), (111, 112),(114)),( (118, 119),(121))), ((125))), (((133,134), (136)), ((140))), (((148)))

Edited on May 5, 2006, 9:33 pm
  Posted by Salil on 2006-05-05 21:31:54

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information