1 00:00:00,000 --> 00:00:04,000 For this question, we're going to think about a table that, by the way, is a table. 2 00:00:04,000 --> 00:00:07,000 On this table we're going to put a giant spring. 3 00:00:07,000 --> 00:00:11,000 Here's the spring, uncompressed, not stretched, totally at equilibrium, 4 00:00:11,000 --> 00:00:14,000 totally boring, so let's compress it. 5 00:00:14,000 --> 00:00:18,000 The way we're going to do that is by squeezing it back a distance Δx, 6 00:00:18,000 --> 00:00:23,000 and by putting a little block here with mass m, of course. 7 00:00:23,000 --> 00:00:27,000 Of course--I shouldn't even have to say it--this table is frictionless. 8 00:00:27,000 --> 00:00:32,000 Of course, this table has some height h and the spring has some constant, some stiffness, k. 9 00:00:32,000 --> 00:00:35,000 When I squeeze this, if I let go what's going to happen? 10 00:00:35,000 --> 00:00:40,000 The mass is going to fling forward and shoot off and land somewhere over here. 11 00:00:40,000 --> 00:00:44,000 Your job for this question is to tell me what is this distance d. 12 00:00:44,000 --> 00:00:46,000 Now, you can't answer it yet. Let me give you some numbers. 13 00:00:46,000 --> 00:00:49,000 The height of the table is 2 m. The mass is 1 kg. 14 00:00:49,000 --> 00:00:53,000 Δx is 25 cm--not meters. 15 00:00:53,000 --> 00:00:56,000 The spring constant is 350 N/m. 16 00:00:56,000 --> 00:01:01,000 That should be enough information for you to tell me what is d. 17 00:01:01,000 --> 00:01:05,000 How far will this object fall from the table when it finally lands? 18 00:01:05,000 --> 99:59:59,999 You can enter your answer here in meters.