KiwiBitcher
where opinion holds more weight than fact.
It's better to not pass and know that you could have than to pass and find out that you can't. Wait for the straight.
none of the above, the mass will not change
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That's a toughy
First a few assumptions. The scales will display the correct weight at all altitudes.
Secondly the weight is measured relatively to the surface of the earth.
As you go up gravity will reduce, and so will weight.
As you go down towards the centre of the earth, away from the surface, and assuming you don't go past the centre of the earth, I would expect the weight to reduce. This is because gravity should reduce as the body of earth increases above you (and hence the gravity pulling you towards the surface should increase, until you reach the centre of the earth where the gravitational field will be balanced out).
So my guess is (b).
Sorry, need to clarify.
Temperature does not affect mass.
But temperature affect the equipment measuring the mass (spring rate of the scale, internal friction within the scale mechanisms, etc).
Unless you have an ideal scale. But there is no such thing as ideal scale, and the problem did not stipulate this.
I would prefer the added weight in the deep mine due to the gold, though.
Obviously, you're an entrepreneur and I'm a researcher. Unfortunately this means given the same amount of work, you'll be richer.
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Gravity comes from everything with mass. You have a gravitational field - it's just very small.
Initially at the earth's surface all of the earth's mass is below you, so the only gravitational field that exists is pulling you down.
As you go below the earth's surface some of the earth's mass is now "above" your head. So now there is a gravitational mass "below" you pulling you down, and a mass above your head pulling you up.
The net effect is that as you travel towards the earth's centre gravity should steadily reduce to zero.
At the earth's centre you have half the earth below you and half above you. They both exert an equal but office force on you, which cancel each other out.
That's my thoughts.
Its a perfect set of scales...reads constant irrespective of temp or alt or atmospheric pressure.
Its not a complicated question...its relatively simple and logical.
To dispell drink or evaporation...the 10 kg mass of water could be 10 kg of gold or pebbles from birdlings flat or used traffic infringment notice books from the Police archives....
"A shark on whiskey is mighty risky, but a shark on beer is a beer engineer" - Tad Ghostal
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