• Re: Kinetic energy increase with an initial velocity

    From Dave@21:1/5 to Dave on Sat Dec 31 15:37:57 2022
    XPost: sci.physics, alt.sci.physics

    On 22 09, Dave wrote:
    On 22 12, Dave wrote:
    On 22 40, Dave wrote:
    On 22 10, Dave wrote:
    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.
    Current conclusion after some chat:
    Classical physics doesn't describe the real universe very well, but
    an idealised one. It isn't even self consistent at the human scale
    (new insight thanks to rocket sled thought experiment).

    I am willing to change on new information given.

    Specifically problems exist with kinetic energy and momentum. Kinetic
    energy comes from the conservation of energy (conversion of
    gravitational potential energy to kinetic energy) and acceleration in
    free fall at the same rate.

    Am I bothered - no I'm retired.  Others might be. Also in no good
    conscience could I teach the classical mechanics, since I'm not
    coming across eternal truths. If I were hard up, yes, I would
    regurgitate for pay.
    Makes more sense with the change in speed proportional to the distance
    dropped, not the time falling. Why would the acceleration depend on
    the initial speed?

    This would keep a consistency with the conservation of energy in a
    good way, the rocket sled, and momentum and kinetic energy are
    harmonised.

    Can't think of everything all at once, and thanks to Jim, the thread
    has been kept alive for this information to arrive (after good sleep).
    Might also explain why the only British lander on Mars crashed badly.

    Hope to give updated numbers very soon.

    i.e. Have acceleration due to gravity in a drop as velocity increase per meter dropped.

    It might be that everything is still consistent with accepted basics,
    don't know at this stage. Acceleration as velocity increase per unit
    time is so engrained it might take a while to move on from this.

    Energy to move stuff up is E=mgh.  This is self evident, irrespective of units. Moving heavy stuff up takes more effort, and moving it up further takes more effort.  Seems linear for both variables close to the planet.

    For the drop, assume that freefall acceleration starts and measures at
    9.8ms^2, very successfully and in vacuum chambers in various countries
    for 100s of years.

    s=ut + 1/2 at^2
    v=u+at
    So in 1 second s= 0.5x10 * 1*1 = 5m fall in a second
    So speed increases to 10m/s in 1 second

    Speed increase rate is 2m/s per meter.

    The speed increases with distance, not time. (Cassandra Physics)
    For conservation of energy with E=mgh,

    Air resistance is ignored 20kg mass.
    Input energy is mgh, but not the regular g, but G (from Cassandra) at 2

    Height Speed Input energy(mGh) Kinetic Energy (m*v)
    G is 2
    5 10 200 (20*2*5) 200
    10 20 400 (20*2*10) 400
    20 40 800 800
    30 60 1200 1200
    40 80 1600 1600
    50 100 2000 2000
    60 120 2400 2400
    70 140 2800 2800
    100 200 4000 (20*2*100) 4000
    150 300 6000 (20*2*150) 6000
    200 400 8000 (20*2*200) 8000
    1000 2000 40000 (20*2*1000) 40000

    So there you have it, all self consistent.

    If I'm wrong I'll post a grovelling apology
    (concept, not the sums, regular apology for bad arithmetic).

    If they have been teaching the wrong physics, there is a need a great
    purging of professors
    Either:
    1- they have been teaching wrong facts knowing what is correct,
    thus confusing people and bringing education into disrepute - why
    believe them on climate change, guilt by association is only human
    or
    2- they should have worked out the basics and should be fired
    for stupidity (ignorant repeater).

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  • From Jim Pennino@21:1/5 to Dave on Sat Dec 31 08:22:37 2022
    XPost: sci.physics, alt.sci.physics

    In sci.physics Dave <dwickford@yahoo.com> wrote:

    <snip piles of old crap>


    For the drop, assume that freefall acceleration starts and measures at 9.8ms^2, very successfully and in vacuum chambers in various countries
    for 100s of years.

    s=ut + 1/2 at^2
    v=u+at
    So in 1 second s= 0.5x10 * 1*1 = 5m fall in a second
    So speed increases to 10m/s in 1 second

    Speed increase rate is 2m/s per meter.

    The rate of speed increase is acceleration and has units of ms^-2.

    The speed increases with distance, not time. (Cassandra Physics)

    S(t) = S0 + V0*t + (a * t^2)/2 = S0 + .5*(V0 + V(t))*t

    V(t) = V0 + a*t

    V^2(t) = V0^2 + 2*a*[S(t) -S0]

    Where

    t is elapsed time
    S0 is the initial displacement from the origin
    S(t) is the displacement from the origin at time t
    V0 is the inital velocity
    V(t) is the velocity at time t
    a is the acceleration

    If x is the position, v is the velocity, a the acceleration and t is
    time:

    v = dx/dt

    a = dv/dt and also the second derivative of x.


    <snip nonsense>

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