Recent content by haruspex

Your work looks correct, but you might be penalised for quoting too many significant figures in your answers. Given a value like "90mm", you should only assume it is accurate to the nearest mm. If you use the numeric output of one step as an input to the next, though, you should use the...

Yes, but the question in post #1 is where is the error in the method. I answered that in post #2 (a sign error).

I agree, but… That’s not what I get at n=1.

It's how they interpret "heat flows from the hotter to the colder".

It's a misunderstanding of the second law of thermodynamics.

I prefer to describe that as being because there is less radiative gain from the sky. The outgoing radiation is the same. Yes, I know you meant net loss, but I have come across students who don’t get that, thinking that a colder body cannot radiate towards a warmer one!

No, it does not make that assumption. I am defining H to be the height of the water above the base B of the ball. The top of the ball is higher yet.

Read post #15 carefully. The argument goes like this: With a ball floating inside its hexagonal prism, there are three regions of interest above the level of the bottom of the ball, B: The volume of water, ##V_w## The volume of ball in the water, ##V_i## The volume of ball above the water...

It is not an approximation. Archimedes' Principle is exact and depends only on the volume, not details of the shape.

Have we? How does the algorithm generate the list, to the required length, as needed?

Except when the object is, instantaneously, at the rotation axis?

Apologies - I misread your method. It’s fine, and it is the same as in post #1.

https://en.wikipedia.org/wiki/Coriolis_force lays it all out very clearly. Correctly describing the motion in a rotating reference frame needs three virtual forces, known as the Euler force (involving the angular acceleration and object location), the centrifugal force (involving the angular...

Not so fast. Consider e.g. if instead they were almost the same density as the water, also hexagonal in section and 1m tall. (Btw, not all cells would be hexagonal. What other shape is likely to arise, and how many of those would there be?) Edit: I misread post #1. Your method works fine for...

Which means it is not a solution to the problem. Each player can anticipate the other’s strategy. If player 2 calculates player 1's best strategy then player 2 can reconsider her own strategy. But player 1 can anticipate that, and so on. Please read posts #17 and #20, and see...