已知海王星和地球的质量比M:m=16:1,它们的半径比R:r=4:1,求:
\u5df2\u77e5\u6d77\u738b\u661f\u548c\u5730\u7403\u7684\u8d28\u91cf\u6bd4M:m=16:1,\u5b83\u4eec\u7684\u534a\u5f84\u6bd4R\uff1ar=4:1,\u95ee\u6d77\u738b\u661f\u548c\u5730\u7403\u7684\u7b2c\u4e00\u5b87\u5b99\u901f\u5ea6\u4e4b\u6bd4\u4e07\u6709\u5f15\u529b= \u822a\u5929\u5668\u6cbf\u5730\u7403\u8868\u9762\u4f5c\u5706\u5468\u8fd0\u52a8\u65f6\u5411\u5fc3\u529b
\u5373GMm/r^2=mv^2/r
v=(GM/r)^0.5
v1/v2=[(GM1/r1)^0.5]/[GM2/r2)^0.5]=[(M1/M2)^0.5]/[(R1/R2)^0.5]=2:1
\u5219\u4ed6\u4eec\u7684\u8868\u9762\u7684\u91cd\u529b\u52a0\u901f\u5ea6\u4e4b\u6bd4\u4e3a
17/(4*4)=17/16=1.0625\uff1a1
\u6d77\u738b\u661f\u548c\u5730\u7403\u8868\u9762\u7684\u91cd\u529b\u52a0\u901f\u5ea6\u4e4b\u6bd4\u4e3a1.0625\uff1a1\u6216\u800517/16
(1)v=根号GM/R 得2:1(2)g=GM/R2 得1;1
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