Science Quiz

Originally posted by The Last Conformist
Basically, it first extents one set of legs, and "screws" 180 degrees. Thanks to conservation of angular momentum, almost all of this rotation goes to the body-half with non-extended legs. Then it retracts the extended legs and extends the other set, and "screws" 180 degrees again. This ends up with the cat having turned almost 180 degrees.

Sorry, my English broke down here. I hope you get the picture.

you are on the right track but you are missing one important thing. Think moment of inertia.
 
Originally posted by The Last Conformist
The moment of inertia for the body-half with extended legs is much higher than for the other one because the centre of mass is farther from the axis of rotation. That's why the later gets most of the rotation.

Exactly. :goodjob: Your go!

So here are the steps it follows. We have to understand that there is already some initial angular momentum of the whole cat as it starts falling. If the initial angular momentum is absolutely zero then I am not sure how the cat will behave. Anyway,

step 1 - the cat rotates its two halves in opposite directions. the front legs towards the ground and the hind legs away from it.

step 2 - now it knows how much it is rotating as a whole from the initial angular momentum. it has to control this rate of rotation so that its forward legs point towards the ground when it reaches the ground. It controls this angular velocity by changing its moment of inertia by splaying its hind legs and with its tail.

step 3 - it hits the ground with its front legs and then rotates the hind legs towards the ground.
 
As suggested by my title, a black hole continuously loses mass by Hawking radiation. However, if we placed a stellar-mass black hole in a corner of our universe that is totally devoid of matter it could suck in to make up for the loss, it would still experience net growth. Why?
 
Does it have to do with the pairs of particles that are constantly popping into existence from the vacuum? If the pair forms close to the event horizon then instead of quickly anhilliating each other, one particle is sucked into the black hole, the other is jettisoned out. Just a guess, but I've heard of this phenomenon somwhere before.
 
That's part of the mechanism behind Hawking radiation (basically, the energy needed to give the escaping particle permanent existence is sucked from the black hole). Doesn't answer the question - it makes the black hole shrink.
 
Originally posted by The Last Conformist
As suggested by my title, a black hole continuously loses mass by Hawking radiation. However, if we placed a stellar-mass black hole in a corner of our universe that is totally devoid of matter it could suck in to make up for the loss, it would still experience net growth. Why?

Even though it is totally devoid of matter, it would still have light from all the other stars in the universe. This would be captured by the black hole which would thefore grow.

We could even add in the captured neutrinos now that we know they have some mass too - but they now qualify as 'matter' I guess.
 
Hang on a sec, I was going to say photons myself, but don't they qualify as matter? They have mass too right, if the black hole experiences growth? Or am I wrong?
 
How can friction make an object increase in speed?
 
Hmm - I see your argument and the way I phrased it doesnt exclude it but I'm looking for a situation where we have friction between a non moving object and a moving object and the moving object speeds up..
 
In other words, we've got two objects in relative motion, and friction causes the relative motion to speed up? That's tougher ...

A wheel which is spinning too fast in relation to how fast it's going forward relative to the ground to fulfill the "rolling condition" (no idea what the correct English term is; angular frequency times radius equals centre of mass speed).
 
Originally posted by col
Hmm - I see your argument and the way I phrased it doesnt exclude it but I'm looking for a situation where we have friction between a non moving object and a moving object and the moving object speeds up..

Firction between a rotating body on a plane surface can make it move faster increasing the body's linear velocity. You can think of it this way. If friction was zero then linear velocity would be zero too!

Remember tire on ice! Putting spikes not only adds to grip but may add to speed.

EDIT: I see that LC and me posted together. :D
 
Not a spinning object. The object gains kinetic energy.
 
I guess my object is to make people think and discuss rather than have a simple yes/no right/wrong answer.
 
Originally posted by col
I guess my object is to make people think and discuss rather than have a simple yes/no right/wrong answer.

I can appreciate that. :goodjob: Yes, or no is boring. :)

To expand on LC's original approach, aa object moving thru air can benefit from friction in another way. Friction creates turbulence and some turbulence can lessen overall drag.

An example, is the flying formation of migratory birds. The typical V formation is because of turbulence created in the wake of the brids in the lead reduce drag for the birds in the rear. And there would be no turbulence without friction.

But I am also sure you had something else on mind.
 
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