Quod Erat Demonstrandum

2020/05/21

Similar-looking formula

Filed under: Junior Form Mathematics,mathematics,Physics — johnmayhk @ 4:01 下午
Tags: ,

The equivalent resistance R of a parallel circuit

can be determined by

\displaystyle \frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}.

A similar-looking formula found in a basic mathematics question involving parallel lines as shown below:

(more…)

2015/02/20

鈄截柱體體積

Filed under: Junior Form Mathematics,NSS,Physics — johnmayhk @ 8:25 下午
Tags: ,

1.緣起

某次中三共同備課堂,同事甲提出證明錐體體積的方法,如下:

考慮一個鈄截正三角柱體(truncated right triangular prism),即三條側棱皆與底垂直者:

johnmayhk-volume-3

設側棱長度分別為 h_1,h_2,h_3。因其體積是底面積 A 乘以「平均高度」,即鈄截正三角柱體的體積為

V=A\frac{h_1+h_2+h_3}{3}

於是對於錐體,其底面積為 A,高為 h 者,

johnmayhk-volume-4

只要代入 h_1=h_2=0h_3=h,便知其體積是

V=A\frac{0+0+h}{3}=\frac{1}{3}Ah (more…)

2014/01/13

聲波

Filed under: Fun,Physics — johnmayhk @ 2:03 下午

有趣示範:


(more…)

2013/12/24

Ferrofluid

Filed under: Fun,Physics — johnmayhk @ 3:55 下午

幾何成狀一瞬間

科學與藝術 (more…)

2013/10/19

[YouTube] 神秘之夜 131012 ep30 p4

Filed under: Fun,Physics — johnmayhk @ 5:36 下午

2013/10/18

摺紙的某應用

Filed under: Fun,Physics,Report — johnmayhk @ 9:24 上午

利用 Miuria fold,做出很薄的鋰離子電池,加大電池能量密度。

Miura-ori

資料來源:

http://www.extremetech.com/extreme/168288-folded-paper-lithium-ion-battery-increases-energy-density-by-14-times

http://www.leiphone.com/folded-battery.html

2013/06/24

[TED] 用溼軟電路動手做科學

Filed under: Fun,Physics — johnmayhk @ 10:37 上午

2013/05/07

[FW] Dark matter: The matter we can’t see – James Gillies

Filed under: Fun,Physics — johnmayhk @ 7:44 上午

More at

“Physicists from CERN team up with TED-Ed to create five lessons that make particle physics child’s play"

http://blog.ted.com/2013/05/03/physicists-from-cern-team-up-with-ted-ed-to-create-five-lessons-that-make-particle-physics-childs-play/

2013/03/07

[FW] 判天地之美、析萬物之理

Filed under: Physics — johnmayhk @ 6:12 下午

剛看「一日一通識」顏冊群組,見

『六十年代,物理學家已經提出「希格斯場」理論。直至去年,全球最大的基礎科研機構CERN公布可能找到被稱為「上帝粒子」的希格斯粒子。「上帝粒子」的發現對物理學研究有何意義?「希格斯場」又怎去理解?』

johnmayhk-higgs

詳見:
http://utalks.etvonline.tv/article13.php

也貼些 (more…)

2013/02/25

[FW] Veritasium 科學頻道

Filed under: Fun,Physics — johnmayhk @ 9:18 上午

同學,推薦大家看看 Veritasium 科學頻道!只貼早前看過的三段片,enjoy:

2013/02/04

[FW] Amazing Double ‘A’ Battery Trick

Filed under: Fun,Physics — johnmayhk @ 6:33 下午

唔知幾時可以同阿仔玩呢個實驗:

2013/01/21

[FW] Alice in Quantumland

Filed under: Fun,Physics — johnmayhk @ 5:22 下午

More at

http://shorts.quantumlah.org/category/shortlist/

2013/01/11

永動機

Filed under: Fun,Physics — johnmayhk @ 6:58 下午

立刻讓我想起看過一個對抗梅菲定律的方法: (more…)

2012/11/26

[TED] Ramesh Raskar: Imaging at a trillion frames per second

Filed under: Fun,Physics — johnmayhk @ 3:42 下午

JUN 2012

拉米示·拉斯卡展現了飛秒成像,一種在萬分之一秒中成像的新型成像技術,所以它展示了光的運動。這個技術有可能被用來看到拐角處的東西,或者在不用X光機的情況下透視身體。

Photography is about creating images by recording light. At the MIT media lab, professor Ramesh Raskar and his team members have invented a camera that can photograph light itself as it moves at, well, the speed of light.


2012/09/03

網台科普

Filed under: Fun,Physics — johnmayhk @ 9:19 上午

我的暑期良伴,溫故知新:

My University: 牛頓力學(1)

(more…)

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