1 00:00:00,720 --> 00:00:03,360 This week, we will use the concept of momentum 2 00:00:03,360 --> 00:00:06,030 to analyze some more advanced situations. 3 00:00:06,030 --> 00:00:09,630 Namely, systems in which there is a continuous flow of mass 4 00:00:09,630 --> 00:00:12,510 rather than just the motion of discrete objects. 5 00:00:12,510 --> 00:00:14,940 The classic example of this is the thrust 6 00:00:14,940 --> 00:00:17,940 due to exhaust from a rocket engine. 7 00:00:17,940 --> 00:00:21,090 Once again, we will appeal to a differential analysis 8 00:00:21,090 --> 00:00:22,530 technique. 9 00:00:22,530 --> 00:00:26,670 Breaking the flow down into a large number of small elements, 10 00:00:26,670 --> 00:00:31,830 analyzing one of the elements in detail, and then generalizing. 11 00:00:31,830 --> 00:00:34,770 This is an important example of a situation where 12 00:00:34,770 --> 00:00:38,000 the point mass form of Newton's Second Law of Motion-- f equals 13 00:00:38,000 --> 00:00:40,560 ma-- is inadequate, and one must instead 14 00:00:40,560 --> 00:00:42,900 use the more general form of the law-- f 15 00:00:42,900 --> 00:00:46,560 equals dpdt-- or the force is equal to the time 16 00:00:46,560 --> 00:00:48,525 derivative of the momentum.