14.解:(1)若长木板固定,物块从A点滑到B点,由机械能守恒定律得mgh=1m2(1分解得1=6m/s(1分)由题意得物块在BC间滑动才会受到摩擦力,机械能向内能转化,所以在物块在BC间往复滑动可以看作一直做匀减速运动,由牛顿第二定律有umg=ma(1分)解得a=2m/s2t1=a(1分)解得t=3s(1分)(2)①物块第一次从A点滑到C点的过程中,系统水平方向动量守恒,有m2-M2=0(1分)根据功能关系有mgh=ungL+m2+M2(1分)解得t2=4m/s;3=2m/s(1分)物块第一次与弹簧作用的过程,根据动量守恒得弹簧形变量最大时两者速度都为零,此过程对物块根据动量定理有=△P=-m2=-4N·s(1分)弹簧对物块的冲量大小1=4N·s(1分)②物块第一次到B点,系统水平方向动量守恒,机械能守恒,有m4-My3=0(1分)mgh=m2+Mn2(1分)解得n21=26m/s,l3=6m/s(1分)物块第一次从B点到C点的过程,对长木板根据动能定理有MM2(1分)解得x1=1m(1分)(其他解法正确,同样给分)

书面表达One possible version:NOTICEA sports meeting will be held in the playground of our school from next Thursday to FridayAs you know, the pressure of study is very heavy now, especially for those senior 3. So the purpose of the sports meeting is to letevery student get relaxed, as a result of which we students can live happily and heal thilyEveryone is welcome to take part in it. Those who perform excellently at the sports meeting will get prizes. But don' t take theresults so serously because taking part is more important than the result. Good luck to everyone!

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