Dave
2022-12-29 11:09:10 UTC
This is really one for aspiring physics teachers.
There are issues with kinetic energy between a rocket,
and a gravitational drop both in a vacuum.
Gravitational drop:
gravity is 10ms-2. i.e. every second the velocity increases by 10m/s
Say mass = 20 kg
Kinetic energy is taught as E=1/2m v^2.
Height needed to get to the energy with E=mgh, h=E/(mg), conservation of
energy
Also works out with speed and distance, s=ut + 1/2at^2
Time(s) Speed(m/s) Kinetic Energy Height Needed (m)
1 10 1000 J 5
2 20 4000 J 20
3 30 9000 J 45
4 40 16000 J 80
5 50 25000 J 125
This is basic secondary school physics
Now with a rocket in a vacuum in space, or on a frictionless sled.
No wheels so no complexity from rotational inertia.
Using F=ma, Newtons law, a 20kg mass, and a thrust of 200N, to get
an acceleration of 10m/s. It so happens that 200N is a standard size for
a little rocket engine. Uses about 150g of fuel (mostly oxidiser) per
second.
150g on 20kg shouldn't affect the calculations too much.
However there are interesting things when the rocket is given an initial
velocity. A one second burn uses the same energy (mass of fuel), and
should increase the speed so the kinetic energy by the same amount - not
near light speed.
To get to the initial speed is beside the point, could use a big rubber
band.
KE- kinetic energy, 1/2 m v^2.
M - 20KG
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
0 10 0J 1000J 1000J
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
10 20 1000J 4000J 3000J
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
50 60 25000J 36000J 11000J
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
1000 1010 10,000,000J 10,201,000J 201,000J
The same burn gives a completely different increase in kinetic energy,
makes no sense presented like this.
So this is really one for aspiring physics teachers. What do you say to
a smart kid who challenges you with this?
A- shut up and stop annoying me
B- give the correct physics
With A you've lost a student, and they will go and do something else.
Problems are from
1- my understanding of what is taught
or
2- what is being taught
Regarding 1- this is well below light speed, so relativistic refinements
shouldn't apply, and the drop is all quite near the earth, so gravity
can be seen as constant, over say several hundred meters
Regarding 2- there are good reasons why the would want to teach
an incorrect information, to keep the enemy stupid. Unfortunately
what was good in about year 1903, is now holding us back. The "lie" has
become the accepted "truth".
Would love a "correct" physics, since what is being taught is likely
what is keeping people back from making more advanced aerial craft.
There are issues with kinetic energy between a rocket,
and a gravitational drop both in a vacuum.
Gravitational drop:
gravity is 10ms-2. i.e. every second the velocity increases by 10m/s
Say mass = 20 kg
Kinetic energy is taught as E=1/2m v^2.
Height needed to get to the energy with E=mgh, h=E/(mg), conservation of
energy
Also works out with speed and distance, s=ut + 1/2at^2
Time(s) Speed(m/s) Kinetic Energy Height Needed (m)
1 10 1000 J 5
2 20 4000 J 20
3 30 9000 J 45
4 40 16000 J 80
5 50 25000 J 125
This is basic secondary school physics
Now with a rocket in a vacuum in space, or on a frictionless sled.
No wheels so no complexity from rotational inertia.
Using F=ma, Newtons law, a 20kg mass, and a thrust of 200N, to get
an acceleration of 10m/s. It so happens that 200N is a standard size for
a little rocket engine. Uses about 150g of fuel (mostly oxidiser) per
second.
150g on 20kg shouldn't affect the calculations too much.
However there are interesting things when the rocket is given an initial
velocity. A one second burn uses the same energy (mass of fuel), and
should increase the speed so the kinetic energy by the same amount - not
near light speed.
To get to the initial speed is beside the point, could use a big rubber
band.
KE- kinetic energy, 1/2 m v^2.
M - 20KG
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
0 10 0J 1000J 1000J
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
10 20 1000J 4000J 3000J
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
50 60 25000J 36000J 11000J
Initial Speed after Initial KE Final KE KE increase
speed (m/s) burn(m/s)
1000 1010 10,000,000J 10,201,000J 201,000J
The same burn gives a completely different increase in kinetic energy,
makes no sense presented like this.
So this is really one for aspiring physics teachers. What do you say to
a smart kid who challenges you with this?
A- shut up and stop annoying me
B- give the correct physics
With A you've lost a student, and they will go and do something else.
Problems are from
1- my understanding of what is taught
or
2- what is being taught
Regarding 1- this is well below light speed, so relativistic refinements
shouldn't apply, and the drop is all quite near the earth, so gravity
can be seen as constant, over say several hundred meters
Regarding 2- there are good reasons why the would want to teach
an incorrect information, to keep the enemy stupid. Unfortunately
what was good in about year 1903, is now holding us back. The "lie" has
become the accepted "truth".
Would love a "correct" physics, since what is being taught is likely
what is keeping people back from making more advanced aerial craft.