球壳引力
![怎么理解均匀球壳内部的质点受到的球壳各部分引力的合力为零?](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E96278705BD43C0096AC53777FCD74E93684A7DCC08BAAD71E891D6C6371F30FCB9CD40D5755BF78B08E589AF40FC2AECA961CA6FBFC9C80B1313613F538D1422144F8FDD3E2120973257C61D170842D79)
怎么理解均匀球壳内部的质点受到的球壳各部分引力的合力为零?
图片尺寸611x556![试证明质量分布均匀的球壳对壳内物体的万有引力为零](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E968ED3565192D9E09CF6BC27D00193488F5491D2E52C918E3A5F019123771AA874A01048C9EB79757C47B513DA056C6A1E3C678DC0F9AD1A348E7E197494AF6AD9D539189A5D0F38ACC540D457A175B30)
试证明质量分布均匀的球壳对壳内物体的万有引力为零
图片尺寸720x720![理论上已经证明质量分布均匀的球壳对壳内物体的引力为零.](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E8359901A85BF7E20D93ADD48D79DFADCE0B135939D02FE0F781674670F50E7E2070406D603CD7A2626A59B50CF27F77DE6A0FD3D45033A3106A8D7BA6467D71625C3B39DE93121DAFEB8DFE0FF0DCFF40F)
理论上已经证明质量分布均匀的球壳对壳内物体的引力为零.
图片尺寸630x337![怎么理解均匀球壳内部的质点受到的球壳各部分引力的合力为零?](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E8330E932CB6034D303F735BECF16241ED546530C8820DCDEBB1E30B908F14D9EFB275CAA1B17F05D6D1DFCF0E7FC8EE19B5CE8A63AEF84D30FDE5E79B6E0E273DB43D48736E33B0EEFFE755C4CD93B41C1)
怎么理解均匀球壳内部的质点受到的球壳各部分引力的合力为零?
图片尺寸602x532![质量分布均匀的球壳对壳内物体的引力为零.](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E835D5D34F0D1ED1E0D534C1F995335B9B9B13734254556C4C2E6D20F6D7D53291B4B1C518B92ECFCCED67893085FDC4F2E6CC29B6EBCFFC50AED06D6A22B0E6C38B7D5063785EB9B7DDAD40C08C080B9AE)
质量分布均匀的球壳对壳内物体的引力为零.
图片尺寸600x449![物理竞赛典型例题精讲——匀质球壳引力](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9D39624D0DDCB2BF5AD48BB1D2A88CCA60CAC133F5EE8925EA7A4AB8C9CEDB5C490EFE4CA6C728A2E4B8B383A143C914CEF3BF3E6E355AB11B52CBB1F5CCE79D8D16F66008EB2B56EE6F8400429E96A45)
物理竞赛典型例题精讲——匀质球壳引力
图片尺寸640x342![牛顿如何证明球内质点受到球壳的引力](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E8320D1ACBFFEFE4F29DD315D20485AEDD0FF6056D26A6A8F2195CF6875E03538D879A8B96BFBC9FFBE556DF31016766039DC27019E50705FB5755C01BB687252DB349A48984F13334CDDFFD8E21C879224)
牛顿如何证明球内质点受到球壳的引力
图片尺寸1465x918![因为球壳里面的物体受到球壳的引力相等且反向](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9028DAAFE0D7EE7602CF7EE184457F0E87F4EB862C3AA36CE52B9A89EFADE56AF35E2502330BEC0DE6CEBFF5E9842F26097E29E04F18278C0A3CBEA4158A2A3102CA0E514BF8C0E2D44353C32A400B49C)
因为球壳里面的物体受到球壳的引力相等且反向
图片尺寸600x338![怎么理解均匀球壳内部的质点受到的球壳各部分引力的合力为零](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83FBA86EDDAC0EEF5AD8595B9C1E5249953A1E62BF6A7A28F0BE63CBF2AD7A1549FA7CEDC4C12B3D87536C1D886EFBECC2813A7FE91468739BBB317D10604E7B8784B2F4A5613DA5057846F4DD7AA99340)
怎么理解均匀球壳内部的质点受到的球壳各部分引力的合力为零
图片尺寸640x427![物理竞赛典型例题精讲——匀质球壳引力](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73954F735BCF54B98CFF1C5B0418663A20E3229E2F8FAB9F646BE9F612A1C38111BC99C395B7A3ABD790A5F11B61060AEB143AF1CBE27546D095D5AF7B65E0B23CE10509987D4644D03D7849FD353D94EB)
物理竞赛典型例题精讲——匀质球壳引力
图片尺寸640x578![活动作品小高老师为什么球壳内部任意一点合力为零万有引力相似三角形](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9D9CB2D79EFA7D4FE1DBA79218BE1435F9CE4E71967388E23C7EBFD339CA19FBCB44A50D082E6CA3DF1E6A80CF6D321F8FE9B2CFFCFB9FA6DFE857EA784900F1428C747CAB558863B6DD599F262CF4EF6)
活动作品小高老师为什么球壳内部任意一点合力为零万有引力相似三角形
图片尺寸2304x1444![解答下列各题:(1)用微元法证明均匀球壳对内部任意点引力处处为零.](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9C7BB252FDD105B18DDD3F292A40E402F951B15641628EB0056423D646CC4241F922497029B078AFF9C777E5FA6E9EA22ABE1817ED4A56C5E781D266F5ED3BEF3B52E395843C7269FC9760065E7B05BAD)
解答下列各题:(1)用微元法证明均匀球壳对内部任意点引力处处为零.
图片尺寸478x478![1,球壳中的万有引力](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E92B43100B4332768E920451F2DB1FC6021B72B1A6562DBF2999B111F07F49DFD606CAC994C472849CE507B8911FB041AEB1A3B90C36FEF8510A166D7D2C1FDA3C729104B820CF64F962302E0432679C11)
1,球壳中的万有引力
图片尺寸1163x721![匀质球壳空腔内引力 - 知乎](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A739802A385058EF0F49C5CE9808C67888FE8B5E0A6CD327C3CC029966BE5A56A01144E0793C5A7ADCE2D4181861D26D7ADFF3FC096957DA046E92C4EF83B478F6124C15F8D0485B38DE10565B24BB2D460)
匀质球壳空腔内引力 - 知乎
图片尺寸680x542![关于地球内部物体受到的万有引力](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73670EA93606966DCB2BDCAA80FA0AFAD1BF7CF3B692347E666E31F725F8A658CBF3E275EC72BF8FADBABD1884F26D11A1F0EDEEA747E35EB2E6EE67B5F197529CA9D3EBDB743A5B9398B313733FB1B552)
关于地球内部物体受到的万有引力
图片尺寸269x248![而计算对球壳外质点的引力时可认为球壳的质量集中在球心](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E8389070C49ED45D19BFC2D807817E3EA1E446C6202BC03A200FF7E8CE0433D166262236343155019DDF6C9FC23AA2C404CED6E6F7B7765B23B5927ECCD9095AB26845005B2F76BE1C0449C08F5619F04CA)
而计算对球壳外质点的引力时可认为球壳的质量集中在球心
图片尺寸630x463![球壳内部的均匀力场](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E83C5729357C0CC120D6E582D3922C5A8DBE70C0C22E769786EAFEA859839E34A719E7D02DA6616414CEB14739A3DCB9CC7EF46B88D4EAB94706DC73FB6F44CA2C3EFB3152AE430934F73BC535947B40519)
球壳内部的均匀力场
图片尺寸357x408![封闭引力源内部为什么不受到引力?](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9D557F5E0176D7649FA7B9527C388EE7FA39EF9086CAA97ABB62CA5BB0B7E9CC2DF354BA3A6B42CA50031D345379FF1466360FFF5F5D64BADCDE290857C099F7E2E691D23D804C19D993D64FDEF38CEAA)
封闭引力源内部为什么不受到引力?
图片尺寸620x271![高中微元法实际上证明了一个空心球壳内部的引力场处处为0,所以实心球](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E91BA4583176D66F6B7271532B011540BDF4FCE1D5B710F295E1FA44FE2290D1526DE79AE92532C44B4A30D43BF3F0ECDB7B8C1D18DF38EE8CEC8F3F1326432CE6F14B57367683B372DEA961D5B9FF9D58)
高中微元法实际上证明了一个空心球壳内部的引力场处处为0,所以实心球
图片尺寸572x690![先证明物体在质量分布均匀的球壳内部受到的万有引力为零,注意是球壳](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A7383BF13F206BE81423B8EEE7617AFA0272D739045809F5FB4658B5E99A9C4A688BF3652435583DEA56D54B867DE83A6E304A94B7B834D7C08B848B680ACABEB06746745ACACE070AE36C0F1246F1924E4)
先证明物体在质量分布均匀的球壳内部受到的万有引力为零,注意是球壳
图片尺寸605x458