Question

16£®ÈçͼËùʾ£¬Óþ¢¶ÈϵÊýΪk=100N/mµÄÇᵯ»É½«ÖÊÁ¿·Ö±ðΪ1kgºÍ2kgµÄÎïÌåAºÍBÁ¬½ÓÔÚÒ»Æ𣬽«B·ÅÔÚˮƽ×ÀÃæÉÏ£¬½«A·ÅÔÚµ¯»ÉÉ϶˲¢ÇÒÓ뵯»ÉÏàÁ¬£®ÈôÓÃÊúÖ±ÏòÉϵÄÁ¦FÀ­A£¬Ê¹AÒÔa=1.6m/s²µÄ¼ÓËÙ¶ÈÉÏÉý£¬g=10m/s²£®Çó£º
£¨1£©¾­¹ý¶à³¤Ê±¼äB¶ÔµØÃæµÄѹÁ¦ÎªÆäÖØÁ¦µÄÒ»°ë£»
£¨2£©´Ó¿ªÊ¼µ½B¶ÔµØÃæµÄѹÁ¦ÎªÆäÖØÁ¦µÄÒ»°ëµÄ¹ý³ÌÖÐÀ­Á¦F×öµÄ¹¦£®

Answer 1

·ÖÎö £¨1£©ÇóµÄ¾²Ö¹Ê±µÄѹËõÁ¿ºÍB¶ÔµØÃæµÄѹÁ¦ÎªÆäÖØÁ¦µÄÒ»°ëʱµÄÉ쳤Á¿£¬¸ù¾ÝÔ˶¯Ñ§¹«Ê½ÇóµÄʱ¼ä£»
£¨2£©ÓɵÚÒ»ÎÊ¿ÉÖªÔڴ˹ý³ÌÖÐÉ쳤Á¿µÈÓÚѹËõÁ¿£¬¹Êµ¯Á¦²»×ö¹¦£¬À­Á¦×öµÄ¹¦È«²¿×ª»¯ÎªAµÄ¶¯ÄܺÍÊÆÄÜ

½â´ð ½â£º´¦ÓÚ¾²Ö¹Ê±µ¯»ÉµÄѹËõÁ¿Îª${x}_{1}=\frac{{m}_{1}g}{k}=\frac{10}{100}m=0.1m$
¶ÔBÊÜÁ¦·ÖÎö£¬´Ëʱµ¯»ÉµÄµ¯Á¦ÎªF=m₂g-0.5m₂g=0.5m₂g=10N
¹Ê´Ëʱµ¯»ÉµÄÉ쳤Á¿Îª${x}_{2}=\frac{F}{k}=\frac{10}{100}m=0.1m$
¹Êµ±Ñ¹Á¦ÎªÆäÖØÁ¦µÄÒ»°ëʱ£¬µ¯»ÉµÄÉ쳤Á¿Îªx=x₁+x₂=0.2m
x=$\frac{1}{2}a{t}^{2}$
t=$\sqrt{\frac{2x}{a}}=\sqrt{\frac{2¡Á0.2}{1.6}}s=0.5s$
£¨2£©µ¯»ÉÔÚ´ÓѹËõµ½É쳤µÄ¹ý³ÌÖУ¬µ¯»ÉµÄµ¯Á¦²»×ö¹¦£¬¹ÊÀ­Á¦×ö¹¦È«²¿×ª»¯Îª¶¯ÄÜºÍ ÖØÁ¦ÊÆÄÜ£¬¹ÊAµÄËÙ¶Èv=at=0.8m/s
W=$\frac{1}{2}{m}_{1}{v}^{2}+{m}_{1}gx=2.32J$
´ð£º£¨1£©¾­¹ý0.5sB¶ÔµØÃæµÄѹÁ¦ÎªÆäÖØÁ¦µÄÒ»°ë£»
£¨2£©´Ó¿ªÊ¼µ½B¶ÔµØÃæµÄѹÁ¦ÎªÆäÖØÁ¦µÄÒ»°ëµÄ¹ý³ÌÖÐÀ­Á¦F×öµÄ¹¦Îª2.32J

µãÆÀ ±¾Ìâ¹Ø¼ü¸ù¾ÝƽºâÌõ¼þºÍºú¿Ë¶¨ÂÉÇó½â³öµ¯»ÉµÄÐбäÁ¿£¬×îºó½áºÏ¼¸ºÎ¹ØϵµÃµ½ÎïÌåAÉÏÉýµÄ¾àÀ룬עÒâÃ÷È·µ¯ÐÔÊÆÄܵı仯ÓëÐαäÁ¿Ö®¼ä¹Øϵ