Problem Definition: In a set of n snookerballs, all of the same standard weight, there is one ball of non-standard weight.(adsbygoogle = window.adsbygoogle || []).push({});

Using a Scale Balance, find the non-standard ball with minimum number of trials- Provide a formula for the proof.

-------------------------------

Snookerball Problems - Solution:

1.one non-standard – but of known relative weight -Identify non-standard :

Solution: Quantity = 3 (to power n), or less; Trials=n.

2.One non-standard ball- of unknown relative weight; find and identify relative (heavier or lighter) weight ?:

Solution: Qty = ( 3(power n) + 3(n-1) + 3 (n-2) …… 3(2) + 3(1) ) or less; Trials = n +1.

---------------------

What about problem when there are TWO non-standard balls...

Gautam Pandya

---------------------

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Snooker balls - Problem def & Solution

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Snooker balls Problem | Date |
---|---|

Heating underneath snooker tables | Jan 18, 2018 |

Surviving a fire by going underwater in the bath with a ball | Jul 24, 2017 |

In snooker what causes a kick | Apr 1, 2016 |

The ole 12 snooker ball question (and my job!) | Sep 10, 2005 |

12 red snooker balls | Aug 24, 2004 |

**Physics Forums - The Fusion of Science and Community**