Question

10£®ÎªÁ˲âÁ¿Á½¸öÖÊÁ¿²»ÏàµÈµÄɳ°üµÄÖÊÁ¿£¬ÔÚûÓÐÖ±½Ó²âÁ¿¹¤¾ßµÄÇé¿öÏ£¬Ó¦ÓÃÏÂÁÐÆ÷²Ä²âÁ¿£ºÌú¼Ų̈¡¢ÇáÖʶ¨»¬ÂÖ£¨Ä¦²Á²»¼Æ£©¡¢íÀÂëÒ»Ì×£¨×ÜÖÊÁ¿m=0.5kg£©¡¢Ï¸Ïß¡¢Ã׳ߡ¢Ãë±í£®¸ù¾ÝËùѧÎïÀí֪ʶ£¬¸Ä±äʵÑéÌõ¼þ½øÐжà´Î²âÁ¿£¬²Ù×÷ÈçÏ£º

¢ÙʵÑé×°ÖÃÈçͼ¼×£¬Éè×óÓÒÁ½±ßɳ°üµÄÖÊÁ¿·Ö±ðΪm₁¡¢m₂£»
¢Ú´ÓíÀÂëºÐÖÐÈ¡³öÖÊÁ¿Îªm₀µÄíÀÂë·ÅÔÚ×ó±ßɳ°üÖУ¬Ê£ÓàíÀÂ붼·ÅÔÚÓÒ±ßɳ°üÖУ¬·¢ÏÖm₁Ͻµm₂ÉÏÉý£»
¢ÛÓÃÃ׳߲â³öɳ°üm₁´Ó¾²Ö¹Ï½µµÄ¾àÀëh£¬ÓÃÃë±í²â³öɳ°üm₁ϽµµÄʱ¼ät£¬Ôò¿É֪ɳ°üµÄ¼ÓËٶȴóСa=$\frac{2h}{{t}^{2}}$£»
¢Ü¸Ä±äm¡ä£¬²âÁ¿ÏàÓ¦µÄ¼ÓËÙ¶Èa£¬µÃµ½¶à×ém₀¼°aµÄÊý¾Ý£¬×÷³öa¡«m¡ä£¨Ñ¡Ìî¡°a¡«m¡ä¡±»ò¡°a¡«$\frac{1}{m¡ä}$¡±£©Í¼Ïߣ¬ÈçͼÒÒ£»
¢Ý¸ù¾ÝͼÏßÇóµÃɳ°üµÄÖÊÁ¿m₁=3kg£¬m₂=1.5kg £¨g=10m/s²£©£®

Answer 1

·ÖÎö £¨1£©ÖÊÁ¿Îªm₁µÄɳ´ü´Ó¾²Ö¹¿ªÊ¼Ï½µ×öÔȼÓËÙÖ±ÏßÔ˶¯£¬¸ù¾ÝϽµµÄ¾àÀëhºÍʱ¼ä£¬ÓÉλÒƹ«Ê½Çó³öÆä¼ÓËٶȣ®
£¨2£©¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂɶÔm₂¡¢m₁·Ö±ðÑо¿£¬µÃ³öm¡äÓëaµÄ¹Øϵʽ£¬¸ù¾ÝÊýѧ֪ʶ·ÖÎöͼÏßµÄбÂÊÓë½Ø¾àµÄÒâÒ壬Çó½âÁ½¸öɳ´üµÄÖÊÁ¿£®

½â´ð ½â£º£¨3£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄλÒÆʱ¼ä¹«Ê½µÃ£¬h=$\frac{1}{2}a{t}^{2}$£¬½âµÃa=$\frac{2h}{{t}^{2}}$£®
£¨4¡¢5£©¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨Âɵãº
¶Ôm₁¼°íÀÂ룺£¨m₁+m¡ä£©g-T=£¨m₁+m¡ä£©a
¶Ôm₂¼°íÀÂ룺T-£¨m₂+m-m¡ä£©g=£¨m₂+m-m¡ä£©a
ÁªÁ¢½âµÃ£ºa=$\frac{{m}_{1}-{m}_{2}-m}{{m}_{1}+{m}_{2}+m}g+\frac{2m¡äg}{{m}_{1}+{m}_{2}+m}$£®
¸ù¾ÝÊýѧ֪ʶµÃÖª£º×÷¡°a¡«m¡ä¡±Í¼Ïߣ¬Í¼ÏßµÄбÂÊk=$\frac{2g}{{m}_{1}+{m}_{2}+m}$£¬Í¼ÏߵĽؾàb=$\frac{{m}_{1}-{m}_{2}-m}{{m}_{1}+{m}_{2}+m}g$
½«k¡¢b¡¢m´úÈë¼ÆË㣬½âµÃm₁=3kg£¬m₂=1.5kg£®
¹Ê´ð°¸Îª£º£¨3£©a=$\frac{2h}{{t}^{2}}$£¨4£©a¡«m¡ä£¨5£©3£¬1.5

µãÆÀ ±¾ÌâÊǼÓËٶȲ»Í¬µÄÁ¬½ÓÌåÎÊÌ⣬ÔËÓøôÀë·¨Ñо¿¼ÓËٶȣ¬µÃµ½aÓë¡÷mµÄ¹Øϵʽ£¬ÔÙ¸ù¾ÝͼÏßµÄÊýѧÒâÒåÇó½âÁ½¸öɳ´üµÄÖÊÁ¿£®