A classical mechanics problem by Aleksander Lund

Alex is riding the train home from work. After a long day, he stares out of the window. It is raining straight towards the window from outside. And the rain is rolling straight down on the window until the train starts moving. As the train starts moving , he notices how the raindrops seems to decend from the top to the bottom of the at an angle backwards . As a physicist it doesn't take alex long to derive, that the mechanic behind this is simply the airresistance pushing the droplets in refference to his point of view. Now the train is about to arrive at its destination. It slows down as it moves toward the station. He now looks at the droplets again, as the train is just about to stop ~ approximately 2-3 seconds before it stops completely. What path do he see the dropplets taking at this point, from Alex's point of view?

All angles in refference to Alex's point of view, with foreward being the trains moving direction.

The dropplets are moving (about) straight down, as the movement of the train just before stopping~ 0 The dropplets are moving towards the moon because of tidal forces. The dropplets are moving at slight angle forewards, due to friction not exceding the braking (force) The dropplets are still moving at an angle backwards, due to the air resistance.

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1 solution

Aleksander Lund
Oct 7, 2017

If you one day get to observe this yourself, you will see that the friction isn't strong enough if the acceleration of the braking is just about 1.2 m/s^2. Which is about every train. (If the train doesn't do this, then you should be worried, that there is something wrong with the brakes) =)

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