A merchant in Katmandu sells you a solid gold 6 kg statue for a very reasonable price. When you get home, you wonder whether or not you got a bargain, so you lower the statue into a measuring cup and measure its volume. What volume will verify that it's pure gold?

0.000311 m³

Explanation:

The formula that connect volume, mass and density is given below

D = m/v Equation 1

Where D = Density of the gold, m = mass of the gold, v =  volume of the gold.

make v the subject of the equation

v = m/D Equation 2

Given: m = 6 kg,

Note the density of pure gold = 19300 kg/m².

Substitute into equation 2

v = 6/19300

v = 0.000311 m³

Hence the volume that will verify that it's a pure gold = 0.000311 m³

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it