ÌâÄ¿ÄÚÈÝ
18£®¡°Ñо¿Í¹Í¸¾µ³ÉÏñ¹æÂɵÄʵÑéÖС±£º£¨1£©ÌṩµÄÆ÷²ÄÓУºÍ¹Í¸¾µ¡¢À¯Öò¡¢¿Ì¶È³ß¡¢»ð²ñ¡¢·Û±Ê£¬»¹È±ÉÙ¹âÆÁ£®
£¨2£©ÒªÊ¹Í¹Í¸¾µµÄÖÐÐÄ¡¢ÖòÑæµÄÖÐÐÄ¡¢¹âÆÁÖÐÐÄ£¬ÔÚÏàͬ¸ß¶ÈÉÏ£®£¨Ïàͬ¡¢²»Í¬£©
£¨3£©µ±À¯ÖòÔÚ͹͸¾µ×ó²à¾à͹͸¾µ20cmµÄʱºò£¬ÔÚ¹âÆÁÉϵõ½Ò»¸öµ¹Á¢µÈ´óµÄʵÏñ£¬Ôò͹͸¾µµÄ½¹¾àÊÇ10cm£»µ±À¯ÖòÔÙÏò͹͸¾µ¿¿½ü5cmʱ£¬Ëù³ÉµÄÏñµÄÐÔÖÊÊǵ¹Á¢¡¢·Å´ó¡¢ÊµÏñ£¬ÀûÓôËÔÀíÖÆ³ÉÁËͶӰÒÇ£»µ±À¯ÖòÀë͹͸¾µÖ»ÓÐ5cmʱ£¬´Ëʱ³ÉÏñµÄÐÔÖÊÊÇÕýÁ¢¡¢·Å´ó¡¢ÐéÏñ£¬ÔÚÏÖʵÉú»îÖзŴ󾵾ÍÊÇÀûÓÃÁËÕâ¸öÔÀí£®
·ÖÎö £¨1£©¾ÝʵÑéÖÐËùÐèÒªµÄÆ÷²Ä·ÖÎö¼´¿É½â¾ö£»
£¨2£©ÔÚ×ö͹͸¾µ³ÉÏñ¹æÂÉʵÑéʱ£¬Ê×Ïȵ÷½ÚÖòÑæ¡¢Í¹Í¸¾µºÍ¹âÆÁÈýÕßµÄÖÐÐÄÔÚͬһ¸ß¶ÈÉÏ£¬ÆäÄ¿µÄÊÇʹÏñÄܳÊÔÚ¹âÆÁµÄÖÐÐÄ£®
£¨3£©Í¹Í¸¾µ³ÉÏñ¹æÂÉ£º
µ±u£¾2fʱ£¬2f£¾v£¾f£¬³Éµ¹Á¢ËõСµÄʵÏñ£¬Ó¦ÓãºÈçÕÕÏà»ú£»
µ±u=2fʱ£¬v=2f£¬³Éµ¹Á¢µÈ´óµÄʵÏñ£¬Ó¦Ó㺲⽹¾à£»
µ±2f£¾u£¾fʱ£¬v£¾2f£¬³Éµ¹Á¢·Å´óµÄʵÏñ£¬Ó¦ÓãºÈçͶӰÒÇ»ò»ÃµÆ»ú£»
µ±u=fʱ£¬²»³ÉÏñ£»
µ±u£¼fʱ£¬ÏñÎïÔÚ͸¾µµÄͬ²à£¬³ÉÕýÁ¢·Å´óµÄÐéÏñ£¬Ó¦ÓãºÈç·Å´ó¾µ£®
½â´ð ½â£º£¨1£©Í¹Í¸¾µ³ÉÏñʵÑéµÄÆ÷²Ä×î²»ÄÜȱÉٵľÍÊǹâÆÁ£¬ÓÃÀ´³Ð½ÓËù³ÉµÄʵÏñ£¬±ãÓÚ¹Û²ìʵÑ飻
£¨2£©ÒªÊ¹Í¹Í¸¾µµÄÖÐÐÄ¡¢ÖòÑæµÄÖÐÐÄ¡¢¹âÆÁÖÐÐÄ£¬ÔÚÏàͬ¸ß¶ÈÉÏ£»
£¨3£©µ±À¯ÖòÔÚ͹͸¾µ×ó²à¾à͹͸¾µ20cmµÄʱºò£¬ÔÚ¹âÆÁÉϵõ½Ò»¸öµ¹Á¢µÈ´óµÄʵÏñ£¬¼´ÎïÌå´¦ÓÚ2±¶½¹¾àÉÏ£¬ËùÒÔ´ËʱµÄ½¹¾àΪ10cm£»µ±À¯ÖòÔÙÏò͹͸¾µ¿¿½ü5cmʱ£¬¼´´ËʱÎïÌå´¦ÓÚ1±¶½¹¾àºÍ2±¶½¹¾àÖ®¼ä£¬¹ÊËù³ÉµÄÏñµÄÐÔÖÊÊǵ¹Á¢¡¢·Å´óµÄʵÏñ£¬ÀûÓôËÔÀíÖÆ³ÉÁËͶӰÒÇ»ò»ÃµÆ»ú£»µ±À¯ÖòÀë͹͸¾µÖ»ÓÐ5cmʱ£¬¼´´ËʱÎïÌå´¦ÓÚ1±¶½¹¾àÒÔÄÚ£¬¹Ê´Ëʱ³ÉÏñµÄÐÔÖÊÊÇÕýÁ¢¡¢·Å´óµÄÐéÏñ£¬ÔÚÏÖʵÉú»îÖзŴ󾵾ÍÊÇÀûÓÃÁËÕâ¸öÔÀí£®
¹Ê´ð°¸Îª£º£¨1£©¹âÆÁ£»£¨2£©¹âÆÁ£»Ïàͬ£»£¨3£©10£»µ¹Á¢£»·Å´ó£»ÊµÏñ£»Í¶Ó°ÒÇ£»ÕýÁ¢£»·Å´ó£»ÐéÏñ£»·Å´ó¾µ£®
µãÆÀ ±¾Ì⿼²éµÄÊÇ͹͸¾µµÄ³ÉÏñ¹æÂÉ£¬¶ÔÓÚ͹͸¾µ³É·Å´ó¡¢ËõСµÄʵÏñºÍ³ÉÐéÏñµÄÌõ¼þ£¬¼°ÕâЩÏñµÄÌØµãÒªÕÆÎÕ£¬Í¬Ê±Äܸù¾ÝËù¸øµÄÌõ¼þÅжÏ͹͸¾µµÄ³ÉÏñÇé¿ö¼°ÆäÓ¦Óã®
£¨1£©Ð¡È½½øÐÐÁËÈçͼËùʾµÄʵÑ飺A²½ÖèËùʾµ¯»É²âÁ¦¼ÆµÄʾÊýΪ2.7N£»Óõ¯»É²âÁ¦¼Æ¹Ò×ÅͿ黺ÂýµØ½þÈëÒºÌåÖв»Í¬Éî¶È£¬²½ÖèÈçͼB¡¢C¡¢D¡¢E¡¢FËùʾ£¨ÒºÌå¾ùδÒç³ö£©£¬²¢½«ÆäʾÊý¼Ç¼ÔÚ±íÖУº
| ʵÑé²½Öè | B | C | D | E | F |
| µ¯»É²âÁ¦¼ÆÊ¾Êý/N | 2.6 | 2.5 | 2.4 | 2.4 | 2.3 |
£¨3£©·ÖÎöʵÑé²½ÖèA¡¢B¡¢C¡¢D£¬¿ÉÒÔ˵Ã÷¸¡Á¦´óС¸úÅÅ¿ªÒºÌåµÄÌå»ýÓйأ»·ÖÎöʵÑé²½ÖèA¡¢E¡¢F£¬¿ÉÒÔ˵Ã÷¸¡Á¦´óС¸úÒºÌåµÄÃܶÈÓйأ®
£¨4£©Ð¡È½Óñí¸ñÖеÄÊý¾ÝËã³öÁËijÖÖÒºÌåµÄÃܶÈÊÇ1.3g/cm3£¨½á¹û±£ÁôһλСÊý£©£¬»¹Ëã³öÁ˲½ÖèBÖÐÍ¿éϱíÃæÊܵ½Ë®µÄѹǿÊÇ200Pa£¬²¢·¢ÏÖ²½ÖèB¡¢C¡¢DÖÐÍ¿éϱíÃæÊܵ½Ë®µÄÑ¹Ç¿Ëæ×ÅÉî¶ÈµÄÔö¼ÓÖð½¥Ôö´ó£¨Ñ¡Ìî¡°Ôö´ó¡±»ò¡°¼õС¡±£©£®
£¨5£©Ð¡È½ÔÚ²½ÖèBµÄ»ù´¡ÉϼÌÐøÌ½¾¿£º±£³ÖÍ¿éϱíÃæËù´¦µÄλÖò»±ä£¬°Ñµ¯»É²âÁ¦¼ÆµÄÀ»·¹Ì¶¨ÔÚÌú¼Ų̈ÉÏ£¬»ºÂýÏòÉÕ±ÄÚ¼ÓË®£¬·¢ÏÖµ¯»É²âÁ¦¼ÆµÄʾÊýÖð½¥¼õС£¨Ñ¡Ìî¡°Ôö´ó¡±»ò¡°¼õС¡±£©£»µ±Ëù¼ÓˮʹͿé¸ÕºÃ½þûʱ£¨Ë®Î´Òç³ö£©£¬ÉÕ±µ×²¿Êܵ½Ë®µÄѹǿÔö¼ÓÁË420Pa£®£¨ÒÑÖªÔÚÒ»¶¨·¶Î§ÄÚ£¬µ¯»ÉÊܵ½µÄÀÁ¦Ã¿¼õÉÙ0.1N£¬µ¯»ÉµÄ³¤¶È¾ÍËõ¶Ì0.1cm£©
| Ð±ÃæÓëË®Æ½Ãæ¼Ð½Ç | С³µµÄÖØÁ¦G/N | Ð±ÃæµÄ´Ö²Ú³Ì¶È | Ð±ÃæµÄ¸ß¶Èh/m | ÑØÐ±ÃæÀÁ¦F/N | Ð±Ãæ³¤S/m | ÓÐÓù¦ WÓÐ/J | ×ܹ¦ W×Ü/J | »úеЧÂÊ% |
| 20¡ã | 2.1 | ²£Á§Ãæ | 0.09 | 0.6 | 0.5 | 0.189 | 0.30 | 63 |
| 30¡ã | 2.1 | ²£Á§Ãæ | 0.21 | 1.1 | 0.5 | 0.441 | 0.55 | 80.2 |
| 45¡ã | 2.1 | ²£Á§Ãæ | 0.36 | 1.8 | 0.5 | |||
| 45¡ã | 2.1 | ÃÞ²¼Ãæ | 0.36 | 2.0 | 0.5 | 0.756 | 1.00 | 75.6 |
£¨2£©Èç±íÖпոñµÄÊý¾ÝÓ¦ÊÇ£ºÓÐÓù¦0.756J£¬×ܹ¦0.9J£¬»úеЧÂÊ84%£®
£¨3£©ÇëÄã¸ù¾Ý±íÖеÄʵÑéÊý¾Ý£¬µÃ³öҪ̽¾¿µÄʵÑé½áÂÛ£º
½áÂÛÒ»£ºÐ±ÃæµÄ¹â»¬³Ì¶ÈÏàͬʱ£¬Ð±ÃæµÄÇãб½Ç¶ÈÔ½´ó£¨Ð¡£©£¬»úеЧÂÊÔ½¸ß£¨µÍ£©£®½áÂÛ¶þ£ºÐ±ÃæµÄÇãб½Ç¶ÈÏàͬʱ£¬Ð±ÃæµÄ±íÃæÔ½´Ö²Ú£¨¹â»¬£©£¬»úеЧÂÊÔ½µÍ£¨¸ß£©£®
| ¹³Âë ÖØ/N | ¹³ÂëÉÏÉý µÄ¸ß¶È/cm | µ¯»É²âÁ¦¼Æ µÄʾÊý/N | µ¯»É²âÁ¦¼Æ ÒÆ¶¯µÄ¾àÀë/cm | |
| СÁú | 2 | 10 | 1.0 | 30 |
| СÎÄ | 2 | 10 | 0.8 | 40 |
£¨2£©ÊµÑéºóСÎÄÏ룺¶ÔÓÚͬһ¸ö»¬ÂÖ×飬ËüµÄ»úеЧÂÊÊÇ·ñ²»±äÄØ£¿¾¹ý˼¿¼ºóËûÈÏΪ£º¼´Ê¹ÏñͼÒÒÄÇÑùÒÑÈÆºÃµÄ»¬ÂÖ×飬»úеЧÂÊÒ²²»Êǹ̶¨µÄ£¬»¹Ó¦¸ÃÓëÌáÉýµÄÎïÌåÖØÓйأ¬²¢ÓÃʵÑéÑéÖ¤ÁË×Ô¼ºµÄ²ÂÏëÊÇÕýÈ·µÄ£®Ð¡ÎĵÄʵÑé·½·¨ÊÇÔÚ»¬ÂÖ×éÉϹҲ»Í¬ÊýÁ¿µÄ¹³Âë·Ö±ð²â³ö»¬ÂÖ×éµÄ»úеЧÂʲ¢±È½Ï£®
£¨3£©Ð¡ÁúÈÏΪ£ºÓû¬ÂÖ×éÌáÉýÖØÎïʱ£¬ÈËÌáÉý¶¯»¬ÂÖËù×öµÄ¹¦ÊÇûÓÐÓõģ¬ËùÒÔ£¬¶¯»¬ÂÖ¸öÊýÒ²Ó¦¸ÃÊÇÓ°Ï컬ÂÖ×é»úеЧÂʸߵ͵ÄÖ÷ÒªÒòËØ£®
£¨4£©Ð¡ÎÄÓû¬ÂÖ×éÒÒÔÚtÃëÄÚÔÈËÙÌáÆðÖØÎªGµÄÎïÌåÉý¸ßhÃ×£¨²»¼ÆÉþÖØºÍĦ²Á£©£¬Èô»¬ÂÖ×éµÄ»úеЧÂÊΪ¦Ç£¬¶¯»¬ÂÖÖØG¶¯=$\frac{G}{¦Ç}$-G£»Ð¡ÎĵŦÂÊP=$\frac{Gh}{¦Çt}$£®