Question

10£®ÈçͼËùʾ£¬Ò»»¬°å°®ºÃÕß×ÜÖÊÁ¿£¨°üÀ¨×°±¸£©Îª50kg£¬´ÓÒÔOΪԲÐÄ£¬°ë¾¶ÎªR=16m¹â»¬Ô²»¡¹ìµÀµÄAµãÓɾ²Ö¹¿ªÊ¼Ï»¬£¬µ½´ï¹ìµÀ×îµÍµãBºó£¨OBÔÚͬһÊúÖ±ÏßÉÏ£©£¬»¬°å°®ºÃÕßÑØˮƽÇÐÏ߷ɳö×öƽÅ×Ô˶¯£¬²¢Ç¡ºÃ´ÓCµãÒÔƽÐÐбÃæ·½ÏòµÄËٶȽøÈëбÃ棬Èôµ½´ï¹ìµÀ×îµÍµãBʱ¶Ô¹ìµÀµÄѹÁ¦Îª950N£¬BºÍCÖ®¼äµÄÊúÖ±¸ß¶ÈΪh=2.4m£¬£¨g=10m/s²£©Çó£º
£¨1£©»¬°å°®ºÃÕßµ½´ï¹ìµÀ×îµÍµãBʱµÄËٶȣ»
£¨2£©»¬°å°®ºÃÕß´ÓBÔ˶¯µ½CµÄʱ¼ä£»
£¨3£©Ð±ÃæµÄÇã½Ç¦È£®

Answer 1

·ÖÎö £¨1£©»¬°å°®ºÃÕßÔÚÔ²¹ìµÀÉÏÔ˶¯µÄ¹ý³ÌÖиù¾ÝÏòÐÄÁ¦¹«Ê½¿ÉÇóµÃÔÚBµãµÄËٶȣ»
£¨2£©»¬°å°®ºÃÕß¾­¹ýBµãºó×öƽÅ×Ô˶¯£¬½«Ô˶¯·Ö½â£¬¼´¿ÉÇóµÃʱ¼ä£»
£¨2£©ºÏËÙ¶ÈÑØбÃæ·½Ïò£¬¸ù¾ÝÔ˶¯µÄ·Ö½â£¬Çó³öÊúÖ±·ÖËٶȣ¬ÀûÓü¸ºÎ¹ØϵÇó³öÇã½Ç£®

½â´ð ½â£º£¨1£©»¬°å°®ºÃÕßÔÚBµãʱ£¬Êܵ½ÖØÁ¦ºÍ¹ìµÀµÄÖ§³ÖÁ¦£¬ºÏÁ¦ÌṩÏòÐÄÁ¦£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉ£¬ÓУº
${F}_{N}^{\;}-mg=m\frac{{v}_{B}^{2}}{R}$
´úÈëÊý¾ÝµÃ£º$950-50¡Á10=50¡Á\frac{{v}_{B}^{2}}{16}$
µÃ£º${v}_{B}^{\;}=12m/s$
£¨2£©»¬Ñ©°®ºÃÕß´ÓBµãµ½Cµã×öƽÅ×Ô˶¯£¬¸ù¾Ý$h=\frac{1}{2}g{t}_{\;}^{2}$
µÃ£º$t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2¡Á2.4}{10}}=\frac{2\sqrt{3}}{5}s$
£¨3£©ÔÚCµã${v}_{cy}^{\;}=gt=4\sqrt{3}m/s$
¸ù¾Ý¼¸ºÎ¹ØϵÓУº$tan¦È=\frac{{v}_{y}^{\;}}{{v}_{x}^{\;}}=\frac{{v}_{y}^{\;}}{{v}_{B}^{\;}}=\frac{4\sqrt{3}}{12}=\frac{\sqrt{3}}{3}$
½âµÃ£º¦È=30¡ã
´ð£º£¨1£©»¬°å°®ºÃÕßµ½´ï¹ìµÀ×îµÍµãBʱµÄËÙ¶È12m/s£»
£¨2£©»¬°å°®ºÃÕß´ÓBÔ˶¯µ½CµÄʱ¼ä$\frac{2\sqrt{3}}{5}s$£»
£¨3£©Ð±ÃæµÄÇã½Ç¦ÈΪ30¡ã£®

µãÆÀ ±¾Ì⿼²éÁ¦Ñ§ÖеÄÏòÐÄÁ¦ºÍƽÅ×Ô˶¯£¬¹Ø¼üÊÇÊÜÁ¦·ÖÎö£¬ÀíÇåÔ˶¯Çé¿ö£¬ÊìÁ·ÔËÓûù±¾¹æÂɽâÌ⣮