Good for you.
So.....You were wrong.
Good for you.
History shows that time is not the limiting factor.
Retreating faster than a speeding Dodge.
Still wish someone would address the continuity issue though.![]()
...and therefore, the skater can only reach windspeed if the coefficient of drag is zero, or the balloon can generate more power than is available.
The force on the skater at maximum velocity, will never be zero.
The force of the wind on the balloon decreases with velocity, as shown by the equation.No error. Power = force * velocity difference. Balloon speed to wind difference drops by the same amount that the skater speed to ground increases.
The drag force of the skater increases with square of the velocity, as shown by the equation.The equation balances and the skater goes faster than the wind. Even you should be able to see both sides of the equation.
There is always the limiting case where the maximum velocity is zero.
...and therefore, the skater can only reach windspeed if the coefficient of drag is zero, or the balloon can generate more power than is available.
The force on the skater at maximum velocity, will never be zero.
AND the balloon would have to reach windspeed....
@Dan_O-Thanks for the reply. Seems whenever I get ready to ask a question things veer off in another direction. Still wish someone would address the continuity issue though.![]()
The force of the wind on the balloon decreases with velocity, as shown by the equation.
The drag force of the skater increases with square of the velocity, as shown by the equation.
It cannot reach windspeed.
Just try one of the claims on your the list.
Like the cart on a treadmill, you mean?
You're right there, but they don't want anyone attacking the arguer on the forum. Therefore I - must - resist ...
I'll hide my embarrassment behind my fan.How embarassing for you, humber. You can't even do this simple problem.
No. the force of the wind is due to drag. In the case of the balloon, that decreases with the square of the difference between wind and balloon. It falls as the balloon gains velocity. That is in the equation.The force on the balloon is drag. That increases as the square of the velocity change. The balloon speed vs the wind speed increases when the balloon is slowed down.
Big it up.Now add the part that you got right:
Totally misconstrued. The gears cannot change the power. If you do as you suggest, you may change the rate of acceleration to take advantage of the fact that the balloon is producing more force than the drag, at some lower speed, but that will stop when the balance occurs, as the equations prove.And maybe (just maybe) you'll see that the gears don't need to add power to change the speeds. The power is still balanced; the balloon is now going half the speed that it was before and the skater is going twice the speed that she was before.
Yes, if the treadmill is off there is no motion.
I see. Assuming zero friction from the skater (or no skater) what would stop it?
I posted a list of argument. Why don't you attack one of those.
All I can say is, humber, read it again, but more slowly this time, taking notes if you have to.