Question

12£®Ôڲⶨ´óÆøѹµÄʵÑéÖУ¬Ð¡Ã÷Éè¼Æ²¢½øÐÐÁËÈçϵÄʵÑé
¢Ù½«ÕºË®µÄËÜÁϹҹ³ÎüÅÌ°´Ñ¹ÔÚˮƽµÄ²£Á§°åÉÏ£¬¼·³öËÜÁÏÎüÅÌÄڵĿÕÆø£¬²â³öÎüÅÌÓë²£Á§°å½Ó´¥µÄÃæ»ýΪS£»
¢Ú½«×°ÓÐÊÊÁ¿Ï¸É°µÄСͰÇáÇáµØ¹ÒÔÚÎüÅ̵ÄËÜÁϹҹ³ÉÏ£»
¢ÛÓÃСÉ×ÇáÇáµØÏòСͰÄÚ¼Óɳ£¬Ö±µ½ËÜÁÏÎüÅ̸պÃÍÑÀë²£Á§°å£¬ÓÃÌìƽ²â³öÕâʱËÜÁÏÎüÅÌ¡¢Ð¡Í°ºÍɳµÄ×ÜÖÊÁ¿Îªm£®
ÇëÍê³ÉÏÂÁÐÎÊÌ⣺
£¨1£©ÎüÅÌÍÑÀë²£Á§°åʱ£¬¿ÕÆø¶ÔËÜÁÏÎüÅ̵ÄѹÁ¦F=mg£¬£¨ÓÃÒÔÉÏÌṩµÄ×Öĸ±íʾ£©
²âµÃ´óÆøѹÊýÖµµÄ±í´ïʽÊÇ£ºp_´óÆøѹ=$\frac{4mg}{¦Ð{d}^{2}}$£®
£¨2£©ÊµÑéÖÐÎó²î²úÉúµÄÖ÷ÒªÔ­ÒòÊÇ£¨Ð´³öÒ»Ìõ¼´¿É£©£ºÎüÅÌÄÚ¿ÕÆøδÅŸɾ»£®

Answer 1

·ÖÎö °ÑËÜÁÏÎüÅÌ°´Ñ¹Ôڹ⻬ˮƽµÄ²£Á§°åÉÏ£¬¼·³öËÜÁÏÎüÅÌÄڵĿÕÆø£¬ÔòÎüÅÌÔÚÍâ½ç´óÆøѹµÄ×÷ÓÃϱ»½ôѹÔÚ²£Á§°åÉÏ£®¶ø×°ÓÐÊÊÁ¿Ï¸É°µÄСͰ¹ÒÔÚÎüÅ̵ÄËÜÁϹҹ³ÉÏ£¬Ð¡Í°¶ÔÎüÅÌÓиöÏòϵÄÀ­Á¦£¬ÔÚ²»¼ÆËÜÁϹҹ³µÄÖÊÁ¿µÄÇé¿öÏ£¬ÒªÊ¹ÎüÅÌÍÑÀë²£Á§°å£¬Ð¡Í°¶ÔÎüÅ̵ÄÀ­Á¦Ó¦µÈÓÚ´óÆøѹ¶ÔÎüÅ̵ÄѹÁ¦£®

½â´ð ½â£º£¨1£©ÎüÅÌÍÑÀë²£Á§°åʱ£¬Ð¡Í°¶ÔÎüÅ̵ÄÀ­Á¦£¨Í°ºÍϸɰµÄÖØÁ¦£©µÈÓÚ´óÆøѹ¶ÔÎüÅ̵ÄѹÁ¦£¬¼´P_´óÆøS=mg£®
¹Ê¿ÉµÃ´óÆøѹP_´óÆø=$\frac{mg}{S}$=$\frac{mg}{¦Ð•£¨\frac{d}{2}£©^{2}}$=$\frac{4mg}{¦Ð{d}^{2}}$£®
£¨2£©ÊµÑé²úÉúµÄÎó²îÖ÷ÒªÊÇÒòΪʵÑé¹ý³Ì²¢²»ÈçÔ­Àí·ÖÎöÖÐÄÇôÀíÏ뻯£¬È缷ѹÎüÅÌʱ£¬ÎüÅÌÄڵĿÕÆø²»¿ÉÄÜÍêÈ«¶¼±»Åųö£®
¹Ê´ð°¸Îª£º£¨1£©mg£»$\frac{4mg}{¦Ð{d}^{2}}$£®£¨2£©ÎüÅÌÄÚ¿ÕÆøδÅŸɾ»£®

µãÆÀ ×÷Ϊһ¸ö¿Î±¾ÉÏûÓгöÏÖµÄ̽¾¿ÐÍʵÑ飬¹Ø¼üÔÚÓÚŪÇåʵÑéµÄÔ­Àí£¬ÊôÓÚÖеÈÌ⣮