435:
328:
318:
300:
267:
425:
654:
398:
644:
543:
623:
522:
766:
732:
822:
227:
258:
553:
1226:
It is my understanding that both statements of Newton's 2nd law are only true if the mass of the body remains constant. It is common to see Newton's 2nd law refer specifically to a particle or rigid body, rather than simply a body. The implication is that the mass of a particle or rigid body does not
1257:
The "changing mass" Newton's formula is often misused, some/many would argue. Yes, it works, but the notion of a body as an entity that loses its mass by becoming more than one body is, philosophically, quite, ahm,... silly? Take for example a rubberband gun: the gun of mass M-m and a bullet of mass
1210:
Newton's second law is paraphrased as "At any instant of time, the net force on a body is equal to the body's acceleration multiplied by its mass or, equivalently, the rate at which the body's momentum is changing with time.". Change in momentum is only equal to mass times change in acceleration if
1211:
the mass of the body is constant. It might be best to simply remove the part about acceleration times mass and rephrase it as "At any instant of time, the net force on a body is equal to the rate at which the body's momentum is changing with time."
968:
778:
1234:
When dealing with a body whose mass is changing with time, such as a rocket accelerating as the result of thrust associated with ejection of a high-speed mass of gas from a nozzle, a slightly different equation is required.
153:
1351:
380:
1134:
1079:
1023:
1406:
1341:
855:
147:
1356:
1381:
605:
218:
44:
1366:
1172:
374:
491:
786:
1416:
710:
700:
503:
408:
1426:
1401:
595:
190:
79:
1421:
1386:
1336:
1376:
481:
1346:
214:
210:
206:
202:
198:
194:
676:
350:
434:
1411:
1361:
85:
1258:
m are taken as two bodies (total mass M). And so should be a rocket of mass M-dm and the expelled gas of mass dm, at any instant of time.
1396:
168:
457:
135:
1391:
1371:
667:
628:
341:
305:
743:
271:
1331:
566:
527:
99:
30:
104:
20:
129:
448:
403:
74:
1296:
280:
125:
65:
226:
185:
175:
237:
24:
1228:
1216:
1143:
1088:
1033:
977:
828:
109:
1285:
1212:
1195:
1139:
286:
1281:
327:
141:
257:
1309:
1245:
1220:
161:
55:
748:
675:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
456:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
349:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
769:
This article was the subject of a Wiki
Education Foundation-supported course assignment, between
659:
333:
242:
70:
317:
299:
963:{\displaystyle a={\frac {dv}{dt}}=\lim _{\Delta t\to 0}{\frac {v(t+\Delta t)-v(t)}{\Delta t}}.}
802:
51:
1191:
558:
239:
1263:
782:
1300:
1236:
790:
440:
1316:
1289:
1267:
1252:
1199:
1147:
806:
653:
1325:
798:
241:
765:
672:
424:
397:
346:
731:
643:
622:
1259:
649:
548:
430:
323:
738:
571:
542:
521:
453:
816:
726:
251:
243:
15:
160:
1352:
Knowledge level-3 vital articles in
Physical sciences
1091:
1036:
980:
858:
737:
A fact from this article was featured on
Knowledge's
671:, a collaborative effort to improve the coverage of
452:, a collaborative effort to improve the coverage of
345:, a collaborative effort to improve the coverage of
1128:
1073:
1017:
962:
760:Wiki Education assignment: 4A Knowledge Assignment
379:This article has not yet received a rating on the
852:"Acceleration can likewise be defined as a limit:
889:
33:for general discussion of the article's subject.
1206:Inaccurate paraphrasing of newton's second law
1407:B-Class Astronomy articles of High-importance
1342:Knowledge vital articles in Physical sciences
1138:So that p matches the position variable name
174:
8:
1295:Sometimes used in physics. For example, see
570:, which collaborates on articles related to
1357:B-Class vital articles in Physical sciences
813:Semi-protected edit request on 21 July 2024
1382:B-Class physics articles of Top-importance
617:
516:
392:
294:
1117:
1099:
1092:
1090:
1062:
1044:
1037:
1035:
1006:
988:
981:
979:
907:
892:
865:
857:
1129:{\displaystyle {\frac {d^{2}p}{dt^{2}}}}
1074:{\displaystyle {\frac {d^{2}s}{dt^{2}}}}
1018:{\displaystyle {\frac {d^{2}s}{dt^{2}}}}
1280:zero is not an ordinal. Fail Fail Fail
1171:was invoked but never defined (see the
1157:
619:
518:
394:
296:
255:
970:Consequently, the acceleration is the
1367:Unknown-priority mathematics articles
7:
665:This article is within the scope of
564:This article is within the scope of
446:This article is within the scope of
339:This article is within the scope of
1417:Top-importance Engineering articles
1163:
285:It is of interest to the following
23:for discussing improvements to the
1427:Selected anniversaries (July 2008)
1402:High-importance Astronomy articles
1231:; I have added this to "See also".
948:
922:
893:
774:
770:
14:
1186:No, the variable for position is
685:Knowledge:WikiProject Engineering
359:Knowledge:WikiProject Mathematics
1422:WikiProject Engineering articles
1387:B-Class physics history articles
1337:Knowledge level-3 vital articles
820:
777:. Further details are available
764:
730:
688:Template:WikiProject Engineering
652:
642:
621:
551:
541:
520:
433:
423:
396:
362:Template:WikiProject Mathematics
326:
316:
298:
265:
256:
225:
45:Click here to start a new topic.
1377:Top-importance physics articles
705:This article has been rated as
600:This article has been rated as
580:Knowledge:WikiProject Astronomy
486:This article has been rated as
1347:B-Class level-3 vital articles
1317:13:19, 22 September 2024 (UTC)
1290:13:13, 22 September 2024 (UTC)
1268:14:39, 20 September 2024 (UTC)
1253:03:05, 20 September 2024 (UTC)
1221:18:28, 19 September 2024 (UTC)
943:
937:
928:
913:
899:
583:Template:WikiProject Astronomy
1:
797:— Assignment last updated by
679:and see a list of open tasks.
501:This article is supported by
466:Knowledge:WikiProject Physics
460:and see a list of open tasks.
353:and see a list of open tasks.
42:Put new text under old text.
1412:B-Class Engineering articles
1362:B-Class mathematics articles
1297:Zeroth law of thermodynamics
469:Template:WikiProject Physics
974:of position, often written
843:to reactivate your request.
831:has been answered. Set the
50:New to Knowledge? Welcome!
1443:
1397:B-Class Astronomy articles
1205:
711:project's importance scale
606:project's importance scale
492:project's importance scale
1200:14:39, 22 July 2024 (UTC)
1148:22:44, 21 July 2024 (UTC)
704:
637:
599:
536:
500:
485:
418:
378:
311:
293:
80:Be welcoming to newcomers
1392:Physics history articles
1372:B-Class physics articles
807:00:57, 31 May 2024 (UTC)
381:project's priority scale
668:WikiProject Engineering
342:WikiProject Mathematics
25:Newton's laws of motion
1332:B-Class vital articles
1229:Euler's laws of motion
1227:change with time. See
1130:
1075:
1019:
964:
75:avoid personal attacks
1131:
1076:
1028:Change the equation:
1020:
965:
781:. Student editor(s):
567:WikiProject Astronomy
272:level-3 vital article
219:Auto-archiving period
100:Neutral point of view
1167:The named reference
1089:
1034:
978:
856:
691:Engineering articles
365:mathematics articles
105:No original research
789:). Peer reviewers:
449:WikiProject Physics
1126:
1071:
1015:
960:
906:
849:In the paragraph:
779:on the course page
660:Engineering portal
586:Astronomy articles
334:Mathematics portal
281:content assessment
86:dispute resolution
47:
1124:
1069:
1013:
972:second derivative
955:
888:
883:
847:
846:
755:
754:
725:
724:
721:
720:
717:
716:
616:
615:
612:
611:
515:
514:
511:
510:
504:History Taskforce
391:
390:
387:
386:
250:
249:
66:Assume good faith
43:
1434:
1312:
1248:
1189:
1178:
1177:
1176:
1170:
1162:
1135:
1133:
1132:
1127:
1125:
1123:
1122:
1121:
1108:
1104:
1103:
1093:
1080:
1078:
1077:
1072:
1070:
1068:
1067:
1066:
1053:
1049:
1048:
1038:
1024:
1022:
1021:
1016:
1014:
1012:
1011:
1010:
997:
993:
992:
982:
969:
967:
966:
961:
956:
954:
946:
908:
905:
884:
882:
874:
866:
838:
834:
824:
823:
817:
809:
787:article contribs
776:
772:
771:12 February 2024
768:
734:
727:
693:
692:
689:
686:
683:
662:
657:
656:
646:
639:
638:
633:
625:
618:
588:
587:
584:
581:
578:
561:
559:Astronomy portal
556:
555:
554:
545:
538:
537:
532:
524:
517:
474:
473:
472:physics articles
470:
467:
464:
443:
438:
437:
427:
420:
419:
414:
411:
400:
393:
367:
366:
363:
360:
357:
336:
331:
330:
320:
313:
312:
302:
295:
278:
269:
268:
261:
260:
252:
244:
230:
229:
220:
179:
178:
164:
95:Article policies
16:
1442:
1441:
1437:
1436:
1435:
1433:
1432:
1431:
1322:
1321:
1310:
1278:
1246:
1208:
1187:
1183:
1182:
1181:
1168:
1166:
1164:
1159:
1113:
1109:
1095:
1094:
1087:
1086:
1058:
1054:
1040:
1039:
1032:
1031:
1002:
998:
984:
983:
976:
975:
947:
909:
875:
867:
854:
853:
836:
832:
821:
815:
796:
762:
690:
687:
684:
681:
680:
658:
651:
631:
602:High-importance
585:
582:
579:
576:
575:
557:
552:
550:
531:High‑importance
530:
471:
468:
465:
462:
461:
439:
432:
412:
406:
364:
361:
358:
355:
354:
332:
325:
279:on Knowledge's
276:
266:
246:
245:
240:
217:
121:
116:
115:
114:
91:
61:
12:
11:
5:
1440:
1438:
1430:
1429:
1424:
1419:
1414:
1409:
1404:
1399:
1394:
1389:
1384:
1379:
1374:
1369:
1364:
1359:
1354:
1349:
1344:
1339:
1334:
1324:
1323:
1320:
1319:
1277:
1276:" zeroeth law"
1274:
1273:
1272:
1271:
1270:
1232:
1207:
1204:
1203:
1202:
1180:
1179:
1156:
1155:
1151:
1120:
1116:
1112:
1107:
1102:
1098:
1065:
1061:
1057:
1052:
1047:
1043:
1009:
1005:
1001:
996:
991:
987:
959:
953:
950:
945:
942:
939:
936:
933:
930:
927:
924:
921:
918:
915:
912:
904:
901:
898:
895:
891:
887:
881:
878:
873:
870:
864:
861:
845:
844:
825:
814:
811:
761:
758:
753:
752:
735:
723:
722:
719:
718:
715:
714:
707:Top-importance
703:
697:
696:
694:
677:the discussion
664:
663:
647:
635:
634:
632:Top‑importance
626:
614:
613:
610:
609:
598:
592:
591:
589:
563:
562:
546:
534:
533:
525:
513:
512:
509:
508:
499:
496:
495:
488:Top-importance
484:
478:
477:
475:
458:the discussion
445:
444:
441:Physics portal
428:
416:
415:
413:Top‑importance
401:
389:
388:
385:
384:
377:
371:
370:
368:
351:the discussion
338:
337:
321:
309:
308:
303:
291:
290:
284:
262:
248:
247:
238:
236:
235:
232:
231:
181:
180:
118:
117:
113:
112:
107:
102:
93:
92:
90:
89:
82:
77:
68:
62:
60:
59:
48:
39:
38:
35:
34:
28:
13:
10:
9:
6:
4:
3:
2:
1439:
1428:
1425:
1423:
1420:
1418:
1415:
1413:
1410:
1408:
1405:
1403:
1400:
1398:
1395:
1393:
1390:
1388:
1385:
1383:
1380:
1378:
1375:
1373:
1370:
1368:
1365:
1363:
1360:
1358:
1355:
1353:
1350:
1348:
1345:
1343:
1340:
1338:
1335:
1333:
1330:
1329:
1327:
1318:
1315:
1313:
1306:
1305:
1304:
1298:
1294:
1293:
1292:
1291:
1287:
1283:
1275:
1269:
1265:
1261:
1256:
1255:
1254:
1251:
1249:
1242:
1241:
1240:
1233:
1230:
1225:
1224:
1223:
1222:
1218:
1214:
1213:Michaelmay123
1201:
1197:
1193:
1185:
1184:
1174:
1161:
1158:
1154:
1150:
1149:
1145:
1141:
1140:Traviskaufman
1136:
1118:
1114:
1110:
1105:
1100:
1096:
1084:
1081:
1063:
1059:
1055:
1050:
1045:
1041:
1029:
1026:
1007:
1003:
999:
994:
989:
985:
973:
957:
951:
940:
934:
931:
925:
919:
916:
910:
902:
896:
885:
879:
876:
871:
868:
862:
859:
850:
842:
839:parameter to
830:
826:
819:
818:
812:
810:
808:
804:
800:
794:
792:
788:
784:
780:
767:
759:
757:
750:
746:
745:
740:
736:
733:
729:
728:
712:
708:
702:
699:
698:
695:
678:
674:
670:
669:
661:
655:
650:
648:
645:
641:
640:
636:
630:
627:
624:
620:
607:
603:
597:
594:
593:
590:
574:on Knowledge.
573:
569:
568:
560:
549:
547:
544:
540:
539:
535:
529:
526:
523:
519:
506:
505:
498:
497:
493:
489:
483:
480:
479:
476:
459:
455:
451:
450:
442:
436:
431:
429:
426:
422:
421:
417:
410:
405:
402:
399:
395:
382:
376:
373:
372:
369:
352:
348:
344:
343:
335:
329:
324:
322:
319:
315:
314:
310:
307:
304:
301:
297:
292:
288:
282:
274:
273:
263:
259:
254:
253:
234:
233:
228:
224:
216:
212:
208:
204:
200:
196:
192:
189:
187:
183:
182:
177:
173:
170:
167:
163:
159:
155:
152:
149:
146:
143:
140:
137:
134:
131:
127:
124:
123:Find sources:
120:
119:
111:
110:Verifiability
108:
106:
103:
101:
98:
97:
96:
87:
83:
81:
78:
76:
72:
69:
67:
64:
63:
57:
53:
52:Learn to edit
49:
46:
41:
40:
37:
36:
32:
26:
22:
18:
17:
1307:
1302:
1301:
1282:Athanasius V
1279:
1243:
1238:
1237:
1209:
1165:Cite error:
1160:
1152:
1137:
1085:
1082:
1030:
1027:
971:
851:
848:
840:
829:edit request
795:
775:14 June 2024
763:
756:
749:July 5, 2008
742:
706:
666:
601:
565:
502:
487:
447:
340:
287:WikiProjects
270:
222:
184:
171:
165:
157:
150:
144:
138:
132:
122:
94:
19:This is the
1192:Johnjbarton
747:section on
744:On this day
682:Engineering
673:engineering
629:Engineering
356:Mathematics
347:mathematics
306:Mathematics
148:free images
31:not a forum
1326:Categories
1153:References
833:|answered=
783:Wkuehl9947
1173:help page
791:Lupe.b007
739:Main Page
577:Astronomy
572:Astronomy
528:Astronomy
275:is rated
88:if needed
71:Be polite
21:talk page
1169:Thompson
223:100 days
186:Archives
56:get help
29:This is
27:article.
1303:Dolphin
1239:Dolphin
799:Ahlluhn
741:in the
709:on the
604:on the
490:on the
463:Physics
454:Physics
409:History
404:Physics
277:B-class
154:WP refs
142:scholar
283:scale.
126:Google
1260:Ponor
837:|ans=
827:This
264:This
191:Index
169:JSTOR
130:books
84:Seek
1286:talk
1264:talk
1217:talk
1196:talk
1144:talk
1083:to:
803:talk
773:and
596:High
162:FENS
136:news
73:and
1025:."
890:lim
835:or
701:Top
482:Top
375:???
176:TWL
1328::
1299:.
1288:)
1266:)
1219:)
1198:)
1190:.
1175:).
1146:)
949:Δ
932:−
923:Δ
900:→
894:Δ
841:no
805:)
793:.
407::
221::
213:,
209:,
205:,
201:,
197:,
193:,
156:)
54:;
1314:)
1311:t
1308:(
1284:(
1262:(
1250:)
1247:t
1244:(
1215:(
1194:(
1188:s
1142:(
1119:2
1115:t
1111:d
1106:p
1101:2
1097:d
1064:2
1060:t
1056:d
1051:s
1046:2
1042:d
1008:2
1004:t
1000:d
995:s
990:2
986:d
958:.
952:t
944:)
941:t
938:(
935:v
929:)
926:t
920:+
917:t
914:(
911:v
903:0
897:t
886:=
880:t
877:d
872:v
869:d
863:=
860:a
801:(
785:(
751:.
713:.
608:.
507:.
494:.
383:.
289::
215:6
211:5
207:4
203:3
199:2
195:1
188::
172:·
166:·
158:·
151:·
145:·
139:·
133:·
128:(
58:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.