half. Then you place the four pieces you now have in a stack and rip the stack in half. If it were physically possible to continue this process of stacking the torn pieces and ripping the stacks apart for 50 times, the stack would have 250 pieces. How high would this stack reach? (Give your answer in meters.)
2007-02-23 02:41:28 · 7 answers · asked by skate_freely 1 in Science & Mathematics ➔ Engineering
When tearing a sheet of paper in half, the number of resultant peices, given you keep stacking the peices is 2^n where n is the number of tears.
For 50 tears, we have 2^50 peices of paper
Thickness of this stack = 2^50 x 0.00015 m
= 1.69 x 10^11 m
2007-02-23 04:59:24 · answer #1 · answered by Anonymous · 0⤊ 0⤋
If the first bit is true (you rip the stack in half) you would have (rip the sheet in half) 2 bits x 2 x 2 x 2 x 2... 49 times which is 2 to the power of 49 = 1125899906842624 pieces.
1125899906842624 x 0.00015m = 168 884 986 026.3936m
2007-02-23 02:55:58 · answer #2 · answered by Anaconda 2 · 0⤊ 0⤋
Would this simply be multiplyieng the thickness of the paper to the number of peices to find the height in the end?
If so then 0.015cm * 250 = x
3.75 cm = x
So the height is 3.75 cm
2007-02-23 02:46:44 · answer #3 · answered by Remnant 2 · 0⤊ 0⤋
I cant rip in halves I rip the paper about into 300 pieces.I like ripping paper.
2007-02-25 09:23:35 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Time 1: 0.015*2^0
Time 2: 0.015*2^1
Time n: 0.015*2^(n-1)
0.015*2^249 = 1.36x10^71m
2007-02-23 02:48:33 · answer #5 · answered by SS4 7 · 0⤊ 0⤋
3.75 cm
2007-02-23 02:45:11 · answer #6 · answered by jlovett72078 5 · 0⤊ 0⤋
0.0375M
2007-02-23 18:01:34 · answer #7 · answered by Anonymous · 0⤊ 0⤋