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如图所示,两块完全相同的木块A、B并排靠在一起放在光滑水平面上表止,它们的质

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解决时间 2021-02-21 08:32
如图所示,两块完全相同的木块A、B并排靠在一起放在光滑水平面上表止,它们的质量都是M=0.60kg。一颗质量为m=0.10kg的子弹C以=40m/s的水平速度从左而飞来射向A,射穿A后接着射入B,并留在B中。此时A、B都还没有离开桌面。测得A、B离开桌面后的落地点到桌边的水平距离之比为1:2。求:A、B、C系统在桌面上相互作用的全过程中产生的内能是多少?
最佳答案
我说一下算法:
子弹射穿A的过程整体动量守恒m0v0=m0v+(MA+MB)V1
子弹进入B至最后,A匀速,子弹与B动量守恒mov+MBV1=(m+MB)V2
平抛运动知识可知两物体平抛初速度之比为V1:V2=1:2
联立可得v= V1= V2=
ΔE1=1/2m0v0^2-1/2m0v^2-1/2(MA+MB)V1^2
ΔE2=1/2mov^2+1/2MBV1^2-1/2(m+MB)V2^2
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