"Raheman" skrev i melding om...
I wrote the interesting paper, and I require feedback. Could you
please check it over. Thanks in advance.

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20 joules equals 20 joules, right? Well, consider the following:

"Ball A"
work done = 20 joules
force = 10 Newtons
mass = 10 kg
acceleration = 1 m/s²
change in distance = 2 m
initial velocity = 0 m/s
final velocity = 2 m/s
change in time = 2 s

Kinetic energy = 0.5mv^2 = 20 joules = work done = Fs = 10N*2m
Momentum = mv = 20 kg*m/s = 20 Ns = Kt = 10N*2s

"Ball B"
work done = 20 joules
force = 10 Newtons
mass = 0.1 kg
acceleration = 100 m/s²
change in distance = 2 m
initial velocity = 0 m/s
final velocity = 20 m/s
change in time = 2/10 s

Kinetic energy = 0.5mv^2 = 20 joules = work done = Fs = 10N*2m
Momentum = mv = 2 kg*m/s = 2 Ns = Kt = 10N*0.2s


Each ball experienced the same force over the same distance. And so,
we can make the following statement.

"Ball A experienced 20 joules of work
and Ball B experienced 20 joules of work"

So, each ball had the same amount of work done on it. Makes sense.

And that's why the kinetic energies are equal.

However, if you agree that the above statement is correct, then you
shouldn't be able to deny the validity of the following statement:

"Ball A experienced 10 newtons held for 2 seconds
while Ball B experienced 10 newtons held for 2/10 of a second"

And that's why the momentums are different.

Thus if you agree with the first statement, then "10 newtons held for
2 seconds must equal 10 newtons held for 2/10 of a second"!

No. They results in different momentums, and are thus not equal.

Paul