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#1
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![]() 1. ¶éÒÁÕºÍÅÅÙ¹ + Çѵ¶Ø˹ѡ $50,000$ $N$ ÅÍÂŧ´éǤÇÒÁàÃè§ $4 m/s^2$ ¶éÒµéͧ¡ÒÃãËéºÍÅÅÙ¹ÅÍ¢Öé¹´éǤÇÒÁàÃè§ $5 m/s^2$ µéͧ·Ôé§Çѵ¶Ø¡Õè¡ÔâÅ¡ÃÑÁ
2. ÊÁ¡ÒëÖè§áÊ´§¡ÒÃà¤Å×è͹·ÕèµÒÁ᡹ $x$ ã¹Ë¹èÇ $SI$ ¢Í§Í¹ØÀҤ˹Öè§à¢Õ¹ä´é $x=3.00t^2$ ´Ñ§¹Ñé¹ãËéªèǧàÇÅÒ $2.00$ ÇÔ¹Ò·Õ¶Ö§ $2.00+\triangle t$ ͹ØÀÒ¤¨ÐÁѤÇÒÁàÃçÇà©ÅÕèÂà»ç¹ 3. ÍÍ¡áç¡´¡é͹ÁÇÅ $4 kg$ ãËéµÔ´¡Ñº½Ò¼¹Ñ§´éÇÂáç«Ö觷ÓÁØÁ $45$ ͧÈÒ ¡Ñºá¹ÇÃдѺ , ÊÑÁ»ÃÐÊÔ·¸ÔìáçàÊÕ´·Ò¹ÃÐËÇèÒ§ ½Ò¼¹Ñ§¡ÑºÁÇÅà·èҡѺ $0.25$ ¨§ËÒ¢¹Ò´¢Í§áç·Õè·ÓãËéÁÇÅàÃÔèÁä¶Å¢Öé¹ä´é 4. ö¤¹Ë¹Öè§áÅè¹ã¹á¹ÇàÊ鹵ç àÃÔèÁÍÍ¡áÅè¹ã¹ªèǧ $12$ ÇÔ¹Ò·Õáá´éÇÂÊÁ¡ÒäÇÒÁàÃçÇ $v^2 = 6^2 - (t-6)^2$ ËÅѧÊÔé¹ÇÔ¹Ò·Õ·Õè $12$ ö¹µìàÃè§à¤Ã×èͧ´éÇ $a$ ¤§·Õ訹ÁÕ ¤ÇÒÁàÃçÇà»ç¹ $5\pi$ $m/s$ ÀÒÂã¹ $4$ ÇÔ¹Ò·Õ ÃÐÂзҧ·Ñé§ËÁ´·ÕèöÇÔè§ä´é¤×Í ![]()
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#2
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![]() ¡ÅÈÒʵÃì ¾ÂÒÂÒÁà¢Õ¹ FBD ãËéä´é ¡ç§èÒÂáÅéÇ
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#3
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![]() µÍ¹¹Õéä´éàà¤è¢éÍ 2 ÍÐ ... ´ÙàËÁ×͹¨Ð§èÒ·ÕèÊØ´ààÅéÇ
![]() $v = \frac{3(2.00 + \Delta t)^2 - 3(2.00)^2}{\Delta t}$ $= \frac{12 + 12\Delta t + 3(\Delta t)^2 -12}{\Delta t}$ $= \frac{12\Delta t + 3(\Delta t)^2}{\Delta t}$ $= 12 + 3\Delta t $ ¢ÍÁÒà¾ÔèÁ¢éÍ 1 ÍÕ¡ààÅéǡѹ¹Ð¤ÃѺ ... ààµèÃÙéÊÖ¡á»Å¡æàÅ硹éÍÂÍФÃѺ µÍ¹áá $mg - F = ma$ (¼Á¤Ô´ÇèÒ$ F$ à»ç¹àà硢ͧ ballon ÍФÃѺ) $F = m(g-a)$ $F = 5000(10 - 4) = 30000 N$ µÍ¹ËÅѧàÍÒÍÍ¡ä»ààÅéÇä´éÁÇÅãËÁè¤×Í $m_2$ $F - m_2 g = m_2 a$ $F = m_2 (a + g)$ $30000 = m_2 (15)$ $m_2 = 2000$ ´Ñ§¹Ñé¹µéͧàÍÒÁÇÅÍÍ¡ä» $3000 kg$ ËÃ×Íà»ÅèÒ¡çäÁèÃÙé¹Ð¤ÃѺ ![]() ¢éÍÊØ´·éÒ§§ÍФÃѺ Áѹ¨Ðä´é $v$ 2 ¤èÒààÅéÇÁѹäÁèÃÙéÇèÒ¨Ðãªé¤èÒä˹´ÕÍФÃѺ
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![]() ![]() CCC Mathematic Fighting à¤ÃÕ´ ![]() 28 ¡ØÁÀҾѹ¸ì 2011 21:34 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Suwiwat B |
#4
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![]() ¢éÍÊÕè ÇÒ´¡ÃÒ¿àÍÒ¤ÃѺ ¡ÃÒ¿ v áÅÐ t
ªèǧ 12 ÇÔáá ¤×Í ¡ÃÒ¿¤ÃÖè§Ç§¡ÅÁ (ÅͧËÒÃÑÈÁÕ ÈÙ¹Âì¡ÅÒ§àͧ) ªèǧ 4 ÇÔµèÍÁÒ à¢ÒºÍ¡ àÃ觴éÇ ¤ÇÒÁàÃ觤§·Õè v ¨Ð¾Øè§à»ç¹àÊ鹵ç ÊÙ§ 5pi áÅéÇ¡ç ËÒ¾×é¹·Õèãµé¡ÃÒ¿ |
#5
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![]() áç©Ø´¢Ö鹢ͧºÍÅÅÙ¹¨ÐÁÕ¤èÒà·èÒà´ÔÁ ¡ç¤ÅéÒÂæ¡ÑºàÇÅÒàÃÒ¹Ñè§ÁÍ䫤ìÍФÃѺ «é͹ 3 Áѹ¡ç仪éÒ¡ÇèÒ¹Ñ觤¹à´ÕÂÇÍÂÙáÅéÇ à¾ÃÒÐ áç©Ø´¢Í§ÁÍ䫤ìà·èÒà´ÔÁ áµèáçàÊÕ´·Ò¹Áѹà¾ÔèÁ¢Öé¹ (á绯ԡÔÃÔÂÒµÑ駩ҡà¾ÔèÁ¢Öé¹) ÇÒ´ FBD ¡ç¹èÒ¨ÐÍÍ¡áÅéǹФÃѺ áç·Õè¡ÃзӵéͧÁÕ·ÔÈ¢Öé¹ ·ÓÁØÁ 45 ͧÈҡѺá¹ÇÃдѺ (äÁè§Ñé¹Áѹ¨Ðä¶Å¢Öé¹ä´éä§ - -) $Fcos45~=~N~~~Fsin45~-~\mu Fcos45~=~mg$ (àÃÔèÁä¶Å¢Öé¹) |
#6
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![]() ¢Íº¤Ø³ÁÒ¡¤ÃѺ áµè¢éÍ 4 ¶éÒäÁèÇÒ´¡ÃÒ¿¨Ð·Óä´éäËÁÍФÃѺ =__=''
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#7
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![]() ¶ÒÁà¾ÔèÁ˹èͤÃѺ
5. »ÅèÍÂãËéÇѵ¶Øà¤Å×è͹·ÕèŧÁÒµÒÁ¾×é¹àÍÕ§·ÓÁØÁ 30 ͧÈҡѺá¹ÇÃдѺ Çѵ¶Øà¤Å×è͹·ÕèŧÁÒ´éǤÇÒÁàÃçǤ§·Õè ¶éÒÔÍÍ¡áç´Ñ¹Çѵ¶Ø¢Ö鹺¹¾×é¹àÍÕ§¨¹ÁÕ¤ÇÒÁàÃçÇ $10 m/s$ áÅéÇ»ÅèÍ Çѵ¶Ø¨ÐËÂØ´ã¹àÇÅÒ¡ÕèÇÔ¹Ò·ÕËÅѧ¡ÒûÅèÍ 6.ÁÇÅ 1 ¡¡. áÅÐ 2 ¡¡. ¼Ù¡µÔ´¡Ñ¹´éÇÂàª×Í¡àºÒ áÅéǹÓ令ÅéͧÅÙ¡ÃÍ¡ â´ÂÁÇÅ¢¹Ò´ 1 ¡¡. ÍÂÙ躹 ¢¹Ò´ 2 ¡¡. ¨§ËÒ¢¹Ò´¢Í§áç $F$ ·Õè·ÓãËé¤ÇÒÁµÖ§àª×Í¡à·èҡѺ $5N$ ÊÑÁ»ÃÐÊÔ·¸ÔìáçàÊÕ´᷹¨Å¹ìÃÐËÇèÒ§ÁÇÅ $1 kg$ ¡Ñº $2 kg$ áÅÐÃÐËÇèÒ§ $2 kg.$ ¡Ñº¾×é¹à»ç¹ $0.25$
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#8
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![]() 5.mgsin$30^0$-umgcos$30^0$=0
ä´é u=0.57 -mgsin$30^0$-umgcos^30^0$=m(0-10)/t -5-5=-10/t t=1 |
#9
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![]()
àÃÒ¨ÐÃÙéä´éä§ÇèÒÁÕ áçàÊÕ´·Ò¹ÍФÃѺ ã¹àÁ×èÍ⨷ÂìäÁèºÍ¡à¡ÕèÂǡѺÍÐäÃáçàÊÕ´·Ò¹ÁÒàÅÂ
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#10
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![]() ÍéÒ§ÍÔ§:
¤Ô´ÇèÒÍÒ¨¨ÐµÃ§·ÕèºÍ¡ÇèÒ¤ÇÒÁàÃçǤ§·Õè¹Ð¤ÃѺ ¢éÍ6¹ÕéÁÕÀÒ¾ÃÖà»ÅèÒ¤ÃѺ
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You only live once, but if you work it right, once is enough 01 ÁÕ¹Ò¤Á 2011 22:07 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ nongtum à˵ؼÅ: double post+á¡éàÅ硹éÍÂâ»Ã´ãªé»ØèÁá¡éä¢ |
#11
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ÃÙ»ÀÒ¾¤ÃѺ
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#12
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![]() µÍ¹¹Õéä´éÅФÃѺ ... ¼Á¢Í¶ÒÁ˹èÍ ¶éÒÁѹ àÃÒÍÍ¡áç¡ÃÐÓ·Óµè;×é¹àÍÕ§ ·ÓãËé¾×é¹àÍÕ§à¤Å×è͹·Õè´éǤÇÒÁàÃè§ $a m/s^2$ Çѵ¶Ø¨Ðà¤Å×è͹·Õè´éǤÇÒÁàÃè§à·èÒäà ¶éÒ ¾×é¹àÍÕ§·ÓÁØÁ theta ¡Ñº¾×é¹ÃÒº
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![]() 03 ÁÕ¹Ò¤Á 2011 09:27 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Influenza_Mathematics |
#13
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![]()
$a cos \theta $
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#14
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#15
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![]() ¼ÁÅ×ÁºÇ¡¤ÃѺ ¤ÇÒÁàÃè§ = $g sin \theta + a cos \theta$
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