SMOT - Close to closing the loop ,second video-BIG improvement

[gravityblock]

it shows the ball reaching the end faster but not with more energy/speed.
fritznien

The ball reaching the end faster, also traveled more distance, thus it had more energy/speed.

GB

[fritznien]

GB when the ball is at a lower level it has more speed/energy but it finishes at the same level with the same speed/energy.
there are better videos that show two balls starting at the same time and level with the long route ball rolling at the same speed as the
other ball but in front when they both finish on the same level.
if the low ball finished with more energy we would not need the smot.

[gravityblock]

GB when the ball is at a lower level it has more speed/energy but it finishes at the same level with the same speed/energy.
there are better videos that show two balls starting at the same time and level with the long route ball rolling at the same speed as the
other ball but in front when they both finish on the same level.
if the low ball finished with more energy we would not need the smot.

A ball traveling a greater distance, and in less time, can only do so if it acquired more kinetic energy than the other ball (total energy from start to finish).  This additional kinetic energy gained is lost in transversing the greater distance.  Also, some of this additional kinetic energy is lost during it's uphill travels in order to reach the same level again as the other ball.  Despite losing kinetic energy in transversing a greater distance and losing kinetic energy during it's uphill travels in order to reach the same level again as the other ball, it still finishes first.  It takes more energy to transverse a greater distance than it does to transverse a shorter distance.  Which path performed more work?  Both paths start at the same level, and both paths end at the same level......so each path has the same potential in this respect, and should perform the same amount of work, but this isn't the case.

It is the product of the force and the time for which it is applied that is important. The impulse is equal to the change of momentum.  An impulse is defined as the integral of a force with respect to time, http://en.wikipedia.org/wiki/Impulse_%28physics%29

GB

[Poit]

A ball traveling a greater distance, and in less time, can only do so if it acquired more kinetic energy than the other ball (total energy from start to finish).  This additional kinetic energy gained is lost in transversing the greater distance.  Also, some of this additional kinetic energy is lost during it's uphill travels in order to reach the same level again as the other ball.  Despite losing kinetic energy in transversing a greater distance and losing kinetic energy during it's uphill travels in order to reach the same level again as the other ball, it still finishes first.  It takes more energy to transverse a greater distance than it does to transverse a shorter distance.  Which path performed more work?  Both paths start at the same level, and both paths end at the same level......so each path has the same potential in this respect, and should perform the same amount of work, but this isn't the case.

It is the product of the force and the time for which it is applied that is important. The impulse is equal to the change of momentum.  An impulse is defined as the integral of a force with respect to time, http://en.wikipedia.org/wiki/Impulse_%28physics%29

GB

Yes, but.. although the ball travelling the greater overall distance finishes first it has an extra advantage, gravity... in my mind, gravity is the ONLY reason why it can be first. It falls a down further than the straight track and there for can utilise gravities force better.

[gravityblock]

Yes, but.. although the ball travelling the greater overall distance finishes first it has an extra advantage, gravity... in my mind, gravity is the ONLY reason why it can be first. It falls a down further than the straight track and there for can utilise gravities force better.

Both paths start at the same height and end at the same height, so gravity doesn't provide either path with an extra advantage (The net fall is the same for both balls).  All that exists is the impulse that is applied to the body in space and imparts momentum to it. The body's movement is then only limited by the resistance it has to overcome.

GB