﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.00,0:00:04.00,Default,,0000,0000,0000,,For this question, we're going to think about a table that, by the way, is a table. Dialogue: 0,0:00:04.00,0:00:07.00,Default,,0000,0000,0000,,On this table we're going to put a giant spring. Dialogue: 0,0:00:07.00,0:00:11.00,Default,,0000,0000,0000,,Here's the spring, uncompressed, not stretched, totally at equilibrium, Dialogue: 0,0:00:11.00,0:00:14.00,Default,,0000,0000,0000,,totally boring, so let's compress it. Dialogue: 0,0:00:14.00,0:00:18.00,Default,,0000,0000,0000,,The way we're going to do that is by squeezing it back a distance Δx, Dialogue: 0,0:00:18.00,0:00:23.00,Default,,0000,0000,0000,,and by putting a little block here with mass m, of course. Dialogue: 0,0:00:23.00,0:00:27.00,Default,,0000,0000,0000,,Of course--I shouldn't even have to say it--this table is frictionless. Dialogue: 0,0:00:27.00,0:00:32.00,Default,,0000,0000,0000,,Of course, this table has some height h and the spring has some constant, some stiffness, k. Dialogue: 0,0:00:32.00,0:00:35.00,Default,,0000,0000,0000,,When I squeeze this, if I let go what's going to happen? Dialogue: 0,0:00:35.00,0:00:40.00,Default,,0000,0000,0000,,The mass is going to fling forward and shoot off and land somewhere over here. Dialogue: 0,0:00:40.00,0:00:44.00,Default,,0000,0000,0000,,Your job for this question is to tell me what is this distance d. Dialogue: 0,0:00:44.00,0:00:46.00,Default,,0000,0000,0000,,Now, you can't answer it yet. Let me give you some numbers. Dialogue: 0,0:00:46.00,0:00:49.00,Default,,0000,0000,0000,,The height of the table is 2 m. The mass is 1 kg. Dialogue: 0,0:00:49.00,0:00:53.00,Default,,0000,0000,0000,,Δx is 25 cm--not meters. Dialogue: 0,0:00:53.00,0:00:56.00,Default,,0000,0000,0000,,The spring constant is 350 N/m. Dialogue: 0,0:00:56.00,0:01:01.00,Default,,0000,0000,0000,,That should be enough information for you to tell me what is d. Dialogue: 0,0:01:01.00,0:01:05.00,Default,,0000,0000,0000,,How far will this object fall from the table when it finally lands? Dialogue: 0,0:01:05.00,9:59:59.99,Default,,0000,0000,0000,,You can enter your answer here in meters.