Pure maths, physics, logic (braingames.ru): non-trade-related brain games - page 184
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If you are interested, I will send you the solution of the problem about Leopold and the mouse in a private message.
Next:
Megamogg has invented a mechanical bird for his child. The bird flies vertically upwards and can instantly lose speed from a clap of the hand. The starting speed of the bird is 6 m/s. What is the maximum speed that can be given to the toy? Damping of sound in the air is neglected.
The address of the problem is here.
The weight of the problem is 3.
FAQ:
- sound attenuation, thinning of the atmosphere as you gain altitude, reflection of sound from the ground and other possible objects - neglect;
- the bird's reaction to the clap is instantaneous. Let's assume it has the most powerful annihilation engine;
- The problem is classical, no theories of relativity should be used: after the next clap the speed may become higher than the light speed;
- the bird reacts exactly to the sound of the clap registered by its sound sensors;
- for the purpose of the problem, assume that there is always an atmosphere where the bird flies. The speed of sound is known and is a universal constant - about 330 m/s;
- the bird does not slow down, but only accelerates when it receives a clap, and flies uniformly between claps. So the baby has only one chance to send it into the depths of the universe;
- Despite fantasticalness of the condition (I even had some protest against such abuse of physics), the solution is reasonable - and even, one may say, very physical.
Who is interested - I will send the solution of the problem about Leopold and the mouse in a private message.
Next:
Megamogg has invented a mechanical bird for his child. The bird flies vertically upwards and can instantly lose speed from a clap of the hand. The starting speed of the bird is 6 m/s. What is the maximum speed that can be given to the toy? Damping of sound in the air is neglected.
The weight of the problem is 3.
FAQ:
- sound attenuation, thinning of the atmosphere as it gains altitude, reflection of sound from the ground and other possible objects - neglect;
- the bird's reaction to the clap is instantaneous. Let's assume it has the most powerful annihilation engine;
- The problem is classical, no theories of relativity should be used: after the next clap the speed may become higher than the light speed;
- the bird reacts exactly to the sound of the clap registered by its sound sensors;
- for the purpose of the problem, assume that there is always an atmosphere where the bird flies. The speed of sound is known and is a universal constant - about 330 m/s;
- the bird does not slow down, but only accelerates when it receives a clap, and it flies uniformly between claps. Thus, the baby has only one chance to send it into the depths of the universe;
- Despite fantasticalness of the condition (I even had some protest against such abuse of physics), the solution is reasonable - and even, one may say, very physical.
330 m/s.
SZS: more correctly 486 m/s, with such speed the bird cannot leave the Earth and will fly in a near-Earth orbit, it can be accelerated further to the first space and to the second one too, and it can be taken outside the solar system too, if there was air there )
There is no gravity. There is no orbit either. The bird just flies upwards. It has enough propulsion to accelerate three times instantaneously. There is air everywhere it flies.
The answer is wrong.
There is no gravity. There is no orbit either. The bird just flies upwards. It has enough propulsion to accelerate three times instantaneously. There is air everywhere it flies.
The answer is wrong.
Explain the concept of "clap", or rather what frequency (length) should the wave sent out by the clap be?
if any, i.e. as such the concept of a 'pop' is any compaction of air - that's one thing, and that's more than 4 accelerations,
if the clap has to have a certain length (air seal of a certain thickness), then there is only one possible. then there will be a Doppler effect with wavelength distortion and the bird will ignore it
A clap is a sound that comes from the sharp impact of the palms of the hands. As it passes through the atmosphere, the sound is distorted, but not so distorted as to be unrecognisable by the bird.
The frequency is irrelevant. There is no Doppler effect.
Two claps cannot coincide to be perceived as one.
One clap is always perceived as just one, here the bird is infallible.
You don't have to go into all these subtleties. They are irrelevant to the task.
***** m/s.
***** m/s.
*3=39366
It seems to me that the fourth wave will only accelerate the bird once, after which the bird will begin to move away from it.
There is no reason for them to meet a second time.