1700990376
1700990377
1700990378
此式可解释为:质点在S系中沿x方向运动速度为u时,对应的质量为m,则m,u间有上述关联.
1700990379
1700990380
将上式改述成一阶微分方程
1700990381
1700990382
1700990383
1700990384
1700990385
1700990386
可得通解 A为积分常量.
1700990387
1700990388
1700990389
将代入后,又可得
1700990390
1700990391
1700990392
1700990393
1700990394
因u→0时,m→m0,故积分常量A=0,即得动质量公式
1700990395
1700990396
1700990397
1700990398
1700990399
(2)由F=d(mu)/dt,可得
1700990400
1700990401
1700990402
1700990403
1700990404
1700990405
再由可得
1700990406
1700990407
1700990408
1700990409
1700990410
继而有
1700990411
1700990412
1700990413
1700990414
1700990415
将上式联系质点动能定理
1700990416
1700990417
1700990418
1700990419
1700990420
直接对应地取
1700990421
1700990422
1700990423
1700990424
1700990425
显然不妥.故宜改取
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