Cody (colored Yellow head) wants to fly up in the sky, so he has tied infinite hot air balloons to each other as shown in the right part of the image (Yeah, he can do that, infinite balloons ) .
The largest balloon is providing him an upward force of N. The balloon just above that largest balloon is providing an additional force of N. The third provides N, and so on.
If Cody weighs kg, find with how much acceleration he is going up in the sky.
Details and assumptions :-
kg is Cody's mass.
Acceleration due to gravity
Cody is so awesome that he made balloons of really negligible mass.
This problem is a part of the set Cody Mechanics
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Lets claculate total upward force .....its like 111.1111...... till infinity . So lets say x =111.11...
Now 10x = 1111.11....... On subtracting 9x = 1000 X = 1000÷9 Total downward force is mg = 544 which is more than upward force so he wont accelerate up So his upward acceleration is 0