kassib said:Homework Statement
one ounce of gold (taken to be 28.35g) can be pulled or drawn into a monofilament wire that can be up to 50km in length
true or false
support your argument with some evidence
Homework Equations
atomic mass of gold ,Au= 196.96
avagardo's number=6.02x1023 atoms/mole
approx. radius of a single gold atom r=10-10 m
volume of sphere=4XpieXr3/3
The Attempt at a Solution
one ounce of gold X atomic mass ?
kassib said:a reasonable diameter for the monofilament could be 0.25? work out the volume of this and times and times the answer by 50 ?
The gold wire problem is a mathematical puzzle that involves finding the shortest possible length of gold wire needed to connect three given points on a plane. It is also known as the "three-point problem" or the "minimal connector problem".
The gold wire problem was first introduced by Swiss mathematician Leonhard Euler in the 18th century. It was originally proposed as a challenge by Prussian king Frederick II, who offered a prize for anyone who could solve it.
The gold wire problem has practical applications in engineering and design, as it represents the shortest possible distance between three points. It also has theoretical implications in the field of optimization and graph theory.
The gold wire problem can be solved using a mathematical process called the "Euler's theorem". This involves creating a network of lines connecting the three points and finding the shortest path between them. Alternatively, it can also be solved using computer algorithms.
Yes, there are several variations of the gold wire problem, such as the "four-point problem" and the "n-point problem". These variations involve finding the shortest distance between a different number of given points on a plane, and may have different solutions or approaches.