1 00:00:00,000 --> 00:00:00,369 2 00:00:00,369 --> 00:00:02,660 Now that we know a little bit about Newton's First Law, 3 00:00:02,660 --> 00:00:04,260 let's give ourselves a little quiz. 4 00:00:04,260 --> 00:00:06,470 And what I want you to do is figure out 5 00:00:06,470 --> 00:00:10,370 which of these statements are actually true. 6 00:00:10,370 --> 00:00:13,990 And our first statement is, "If the net force on a body 7 00:00:13,990 --> 00:00:18,530 is zero, its velocity will not change." 8 00:00:18,530 --> 00:00:20,030 Interesting. 9 00:00:20,030 --> 00:00:24,100 Statement number two, "An unbalanced force on a body 10 00:00:24,100 --> 00:00:27,680 will always impact the object's speed." 11 00:00:27,680 --> 00:00:29,650 Also an interesting statement. 12 00:00:29,650 --> 00:00:31,880 Statement number three, "The reason 13 00:00:31,880 --> 00:00:34,240 why initially moving objects tend 14 00:00:34,240 --> 00:00:36,870 to come to rest in our everyday life 15 00:00:36,870 --> 00:00:41,560 is because they are being acted on by unbalanced forces." 16 00:00:41,560 --> 00:00:45,760 And statement four, "An unbalanced force on an object 17 00:00:45,760 --> 00:00:50,180 will always change the object's direction." 18 00:00:50,180 --> 00:00:51,675 So I'll let you think about that. 19 00:00:51,675 --> 00:00:56,440 20 00:00:56,440 --> 00:00:59,426 So let's think about these statement by statement. 21 00:00:59,426 --> 00:01:01,050 So our first statement right over here, 22 00:01:01,050 --> 00:01:03,160 "If the net force on a body is zero, 23 00:01:03,160 --> 00:01:05,750 its velocity will not change." 24 00:01:05,750 --> 00:01:07,600 This is absolutely true. 25 00:01:07,600 --> 00:01:09,080 This is actually even another way 26 00:01:09,080 --> 00:01:13,200 of rephrasing Newton's First Law. 27 00:01:13,200 --> 00:01:16,520 If I have some type of object that's 28 00:01:16,520 --> 00:01:20,020 just traveling through space with some velocity-- 29 00:01:20,020 --> 00:01:22,640 so it has some speed going in some direction, 30 00:01:22,640 --> 00:01:23,752 and maybe it's deep space. 31 00:01:23,752 --> 00:01:25,210 And we can just, for purity, assume 32 00:01:25,210 --> 00:01:27,125 that there's no gravitational interactions. 33 00:01:27,125 --> 00:01:29,070 There will always be some minuscule ones, 34 00:01:29,070 --> 00:01:31,170 but we'll assume no gravitational interactions. 35 00:01:31,170 --> 00:01:32,700 Absolutely no particles that it's 36 00:01:32,700 --> 00:01:35,870 bumping into, absolute vacuum of space. 37 00:01:35,870 --> 00:01:38,050 This thing will travel on forever. 38 00:01:38,050 --> 00:01:39,760 Its velocity will not change. 39 00:01:39,760 --> 00:01:43,450 Neither its speed nor its direction will change. 40 00:01:43,450 --> 00:01:46,040 So this one is absolutely true. 41 00:01:46,040 --> 00:01:49,640 Statement number two, "An unbalanced force on a body 42 00:01:49,640 --> 00:01:53,970 will always impact the object's speed." 43 00:01:53,970 --> 00:01:57,170 And the key word right over here is "speed." 44 00:01:57,170 --> 00:02:00,090 If I had written "impact the object's velocity," then 45 00:02:00,090 --> 00:02:01,430 this would be a true statement. 46 00:02:01,430 --> 00:02:04,760 An unbalanced force on a body will always 47 00:02:04,760 --> 00:02:06,860 impact the object's velocity. 48 00:02:06,860 --> 00:02:07,770 That would be true. 49 00:02:07,770 --> 00:02:09,130 But we wrote "speed" here. 50 00:02:09,130 --> 00:02:10,910 Speed is the magnitude of velocity. 51 00:02:10,910 --> 00:02:13,630 It does not take into account the direction. 52 00:02:13,630 --> 00:02:16,160 And to see why this second statement is false, 53 00:02:16,160 --> 00:02:18,070 you could think about a couple of things. 54 00:02:18,070 --> 00:02:19,930 And we'll do more videos on the intuition 55 00:02:19,930 --> 00:02:21,950 of centripetal acceleration and centripetal 56 00:02:21,950 --> 00:02:24,190 forces, inward forces, if this does not 57 00:02:24,190 --> 00:02:28,060 make complete intuitive sense to you just at this moment. 58 00:02:28,060 --> 00:02:30,940 But imagine we're looking at an ice skating rink from above. 59 00:02:30,940 --> 00:02:32,400 And you have an ice skater. 60 00:02:32,400 --> 00:02:34,300 This is the ice skater's head. 61 00:02:34,300 --> 00:02:37,010 And they are traveling in that direction. 62 00:02:37,010 --> 00:02:39,530 Now imagine right at that moment, 63 00:02:39,530 --> 00:02:42,181 they grab a rope that is nailed to a stake in the ice 64 00:02:42,181 --> 00:02:43,430 skating rink right over there. 65 00:02:43,430 --> 00:02:46,013 We're viewing all of this from above, and this right over here 66 00:02:46,013 --> 00:02:46,990 is the rope. 67 00:02:46,990 --> 00:02:49,050 Now what is going to happen? 68 00:02:49,050 --> 00:02:52,570 Well, the skater is going to travel. 69 00:02:52,570 --> 00:02:55,782 Their direction is actually going to change. 70 00:02:55,782 --> 00:02:57,240 And they could hold on to the rope, 71 00:02:57,240 --> 00:02:58,610 and as long as they hold on to the rope, 72 00:02:58,610 --> 00:02:59,860 they'll keep going in circles. 73 00:02:59,860 --> 00:03:01,340 And when they let go of the rope, 74 00:03:01,340 --> 00:03:05,150 they'll start going in whatever direction 75 00:03:05,150 --> 00:03:07,280 they were traveling in when they let go. 76 00:03:07,280 --> 00:03:09,580 They'll keep going on in that direction. 77 00:03:09,580 --> 00:03:12,800 And if we assume very, very, very small frictions 78 00:03:12,800 --> 00:03:14,230 from the ice skating rink, they'll 79 00:03:14,230 --> 00:03:16,580 actually have the same speed. 80 00:03:16,580 --> 00:03:19,660 So the force, the inward force, the tension 81 00:03:19,660 --> 00:03:22,710 from the rope pulling on the skater in this situation, 82 00:03:22,710 --> 00:03:25,720 would have only changed the skater's direction. 83 00:03:25,720 --> 00:03:28,360 So and unbalanced force doesn't necessarily 84 00:03:28,360 --> 00:03:29,910 have to impact the object's speed. 85 00:03:29,910 --> 00:03:31,090 It often does. 86 00:03:31,090 --> 00:03:33,480 But in that situation, it would have only impacted 87 00:03:33,480 --> 00:03:35,240 the skater's direction. 88 00:03:35,240 --> 00:03:37,540 Another situation like this-- and once again, 89 00:03:37,540 --> 00:03:41,390 this involves centripetal acceleration, inward forces, 90 00:03:41,390 --> 00:03:44,310 inward acceleration-- is a satellite in orbit, 91 00:03:44,310 --> 00:03:46,880 or any type of thing in orbit. 92 00:03:46,880 --> 00:03:49,890 So if that is some type of planet, 93 00:03:49,890 --> 00:03:52,820 and this is one of the planet's moons right over here, 94 00:03:52,820 --> 00:03:56,810 the reason why it stays in orbit is because the pull of gravity 95 00:03:56,810 --> 00:04:00,630 keeps making the object change its direction, but not 96 00:04:00,630 --> 00:04:01,340 its speed. 97 00:04:01,340 --> 00:04:04,236 Its speed is the exact right speed. 98 00:04:04,236 --> 00:04:05,610 So this was its speed right here. 99 00:04:05,610 --> 00:04:07,318 If the planet wasn't there, it would just 100 00:04:07,318 --> 00:04:09,580 keep going on in that direction forever and forever. 101 00:04:09,580 --> 00:04:11,460 But the planet right over here, there's 102 00:04:11,460 --> 00:04:12,970 an inward force of gravity. 103 00:04:12,970 --> 00:04:16,320 And we'll talk more about the force of gravity in the future. 104 00:04:16,320 --> 00:04:17,860 But this inward force of gravity is 105 00:04:17,860 --> 00:04:21,810 going to accelerate this object inwards while it travels. 106 00:04:21,810 --> 00:04:23,860 And so after some period of time, 107 00:04:23,860 --> 00:04:25,960 this object's velocity vector-- if you 108 00:04:25,960 --> 00:04:28,430 add the previous velocity with how much it's 109 00:04:28,430 --> 00:04:31,640 changed its new velocity vector. 110 00:04:31,640 --> 00:04:34,430 Now this is after its traveled a little bit-- its new velocity 111 00:04:34,430 --> 00:04:38,090 vector might look something like this. 112 00:04:38,090 --> 00:04:40,650 And it's traveling at the exact right speed 113 00:04:40,650 --> 00:04:45,910 so that the force of gravity is always 114 00:04:45,910 --> 00:04:50,370 at a right angle to its actual trajectory. 115 00:04:50,370 --> 00:04:54,372 It's the exact right speed so it doesn't go off into deep space 116 00:04:54,372 --> 00:04:56,080 and so it doesn't plummet into the earth. 117 00:04:56,080 --> 00:04:58,700 And we'll cover that in much more detail. 118 00:04:58,700 --> 00:05:01,160 But the simple answer is, unbalanced force on a body 119 00:05:01,160 --> 00:05:02,930 will always impact its velocity. 120 00:05:02,930 --> 00:05:06,260 It could be its speed, its direction, or both, 121 00:05:06,260 --> 00:05:07,910 but it doesn't have to be both. 122 00:05:07,910 --> 00:05:11,170 It could be just the speed or just the direction. 123 00:05:11,170 --> 00:05:14,510 So this is an incorrect statement. 124 00:05:14,510 --> 00:05:16,220 Now the third statement, "The reason 125 00:05:16,220 --> 00:05:17,860 why initially moving objects tend 126 00:05:17,860 --> 00:05:19,880 to come to rest in our everyday life 127 00:05:19,880 --> 00:05:23,670 is because they are being acted on by unbalanced forces." 128 00:05:23,670 --> 00:05:24,870 This is absolutely true. 129 00:05:24,870 --> 00:05:27,230 And this is the example we gave. 130 00:05:27,230 --> 00:05:29,780 If I take an object, if I take my book 131 00:05:29,780 --> 00:05:31,660 and I try to slide it across the desk, 132 00:05:31,660 --> 00:05:33,600 the reason why it eventually comes to stop 133 00:05:33,600 --> 00:05:37,160 is because we have the unbalanced force of friction-- 134 00:05:37,160 --> 00:05:39,160 the grinding of the surface of the book 135 00:05:39,160 --> 00:05:41,720 with the grinding of the table. 136 00:05:41,720 --> 00:05:43,470 If I'm inside of a pool or even if there's 137 00:05:43,470 --> 00:05:45,410 absolutely no current in the pool, 138 00:05:45,410 --> 00:05:48,670 and if I were to try to push some type of object 139 00:05:48,670 --> 00:05:50,350 inside the water, it eventually comes 140 00:05:50,350 --> 00:05:55,800 to stop because of all of the resistance of the water itself. 141 00:05:55,800 --> 00:05:58,560 It's providing an unbalanced force in a direction 142 00:05:58,560 --> 00:05:59,970 opposite it's motion. 143 00:05:59,970 --> 00:06:01,740 That is what's slowing it down. 144 00:06:01,740 --> 00:06:03,210 So in our everyday life, the reason 145 00:06:03,210 --> 00:06:04,970 why we don't see these things go on and on 146 00:06:04,970 --> 00:06:07,250 forever is that we have these frictions, these air 147 00:06:07,250 --> 00:06:12,690 resistants, or the friction with actual surfaces. 148 00:06:12,690 --> 00:06:15,980 And then the last statement, "An unbalanced force on an object 149 00:06:15,980 --> 00:06:19,870 will always change the object's direction." 150 00:06:19,870 --> 00:06:22,620 Well, this one actually is maybe the most intuitive. 151 00:06:22,620 --> 00:06:25,130 We always have this situation. 152 00:06:25,130 --> 00:06:27,460 Let's say I have a block right over here, 153 00:06:27,460 --> 00:06:29,910 and it's traveling with some velocity in that direction-- 154 00:06:29,910 --> 00:06:32,480 five meters per second. 155 00:06:32,480 --> 00:06:37,550 If I apply an unbalanced force in that same direction-- 156 00:06:37,550 --> 00:06:39,050 so that's my force right over there. 157 00:06:39,050 --> 00:06:40,940 If I apply it in that same direction, 158 00:06:40,940 --> 00:06:43,360 I'm just going to accelerate it in that same direction. 159 00:06:43,360 --> 00:06:45,030 So I won't necessarily change it. 160 00:06:45,030 --> 00:06:47,510 Even if I were to act against it, I might decelerate it, 161 00:06:47,510 --> 00:06:50,184 but I won't necessarily change its direction. 162 00:06:50,184 --> 00:06:52,600 I could change its direction by doing something like this, 163 00:06:52,600 --> 00:06:53,650 but I don't necessarily. 164 00:06:53,650 --> 00:06:55,790 I'm not always necessarily changing 165 00:06:55,790 --> 00:06:57,330 the object's direction. 166 00:06:57,330 --> 00:07:00,530 So this is not true. 167 00:07:00,530 --> 00:07:02,990 An unbalanced force on an object will not always 168 00:07:02,990 --> 00:07:04,310 change the object's direction. 169 00:07:04,310 --> 00:07:07,810 It can, like these circumstances, but not always. 170 00:07:07,810 --> 00:00:00,000 So "always" is what makes this very, very, very wrong.