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<lesson xmlns="http://www.teachengineering.org" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.teachengineering.org C:\PROGRA~1\Altova\AUTHENTIC\sps\template\TeachEngineering\lesson.xsd" xml:lang="en-US" version="1.0">
	<title>Discovering Friction</title>
	<header>
		<text_section>
			<text_block format="text">
				<text_element><image url="./graphite.jpg" description="diagram of the structure of graphite crystals" horizontal_alignment="center" vertical_alignment="top" caption="Graphite crystals consist of hexagonal arrays of carbon molecules that form two-dimensional, crystalline plates.  This structure allows the plates to slide freely over one another, making graphite a very useful lubricating material."/></text_element>
			</text_block>
		</text_section>
	</header>
	<grade realm="k12" target="7" lowerbound="6" upperbound="9"/>
	<lesson_number rank="1" total="2"/>
	<time total="2" unit="hours"/>
	<summary>With a simple demonstration activity, students are introduced to the concept of friction as a force that impedes motion when two surfaces are in contact.  Then, in the Associated Activity (Sliding and Stuttering), they work in teams to use a spring scale to drag an object such as a ceramic coffee cup along a table top or the floor.  The spring scale allows them to measure the frictional force that exists between the moving cup and the surface it slides on.  By modifying the bottom surface of the cup, students can find out what kinds of surfaces generate more or less friction. They also discover that both static and kinetic friction are involved when an object initially at rest is caused to slide across a surface.</summary>
	<engineering_connection>
		<text_section>
			<text_block format="text">
				<text_element>Engineers must understand how friction affects a number of situations, from the bottom of skis in which friction is a disadvantage to hiking boots where friction provides traction.</text_element>
			</text_block>
		</text_section>
	</engineering_connection>
	<keywords>
		<keyword>friction</keyword>
		<keyword>static friction</keyword>
		<keyword>kinetic friction</keyword>
	</keywords>
	<edu_standards>
		<edu_standard identifier="S101DA63"/>
		<edu_standard identifier="S1028413"/>
		<edu_standard identifier="S102841E"/>
		<edu_standard identifier="S1028421"/>
		<edu_standard identifier="S1028428"/>
		<edu_standard identifier="S10284AF"/>
		<edu_standard identifier="S10284BA"/>
		<edu_standard identifier="S10284BD"/>
		<edu_standard identifier="S10284C4"/>
		<edu_standard identifier="S1028520"/>
		<edu_standard identifier="S1028527"/>
		<edu_standard identifier="S1028531"/>
		<edu_standard identifier="S102853C"/>
		<edu_standard identifier="S102853F"/>
		<edu_standard identifier="S1028546"/>
	</edu_standards>
	<prerequisite_knowledge>
		<text_section>
			<text_block format="text">
				<text_element>Students should have a basic understanding of the concept of force, and be aware of the existence of the gravitational force.</text_element>
			</text_block>
		</text_section>
	</prerequisite_knowledge>
	<learning_objectives>
		<text_section>
			<text_block format="unordered">
				<text_element>students will be able to describe friction as a force that impedes motion and generates heat</text_element>
				<text_element>students will be able to distinguish between static friction and kinetic friction</text_element>
				<text_element>students will be able to explain why friction occurs</text_element>
				<text_element>students will be able to describe common occurrences of friction, including those in which friction can be used to advantage in everyday life</text_element>
				<text_element>students will be able to describe ways in which friction can be reduced  </text_element>
			</text_block>
		</text_section>
	</learning_objectives>
	<introduction>
		<text_section>
			<text_block format="text">
				<text_element>For better or for worse, friction is an inescapable force we encounter every moment of our lives.  We depend on friction in order to walk, we take advantage of friction in order to light a match, we try to reduce friction in our car engines and door hinges, and friction is generated as the muscle fibers of our hearts contract and relax with each heart beat.  Usually physicists and engineers invest a lot of time and energy into trying to reduce or eliminate friction within the moving parts of machinery, but others sometimes look for ways to increase friction.  Whether an engineer is trying to design a better set of automobile brakes or a more efficient wind turbine, a thorough understanding of friction is a vital prerequisite.   Middle school students can easily master the fundamentals of friction, and even conduct simple experiments in order to discover most of the fundamental ideas for themselves.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>Start by making an inclined plane at a shallow angle using a flat piece of plywood, a kitchen cutting board, or even a large book.  Place two coffee cups on the board -- one cup on its rough, unglazed bottom; the other on its smooth, glazed side (see Figure 1).  Ask the students to predict what will happen when you slowly raise the plane to a steeper angle.  You can then perform the experiment.  </text_element>
			</text_block>
			<text_block format="text">
				<text_element><image url="./cups.gif" description="Friction diagram using cups" horizontal_alignment="left" vertical_alignment="middle" rights="Copyright Mary Hebrank 2000, Duke Center for Inquiry-Based Learning, http://www.biology.duke.edu/cibl/exercises/sliding_and_stuttering.htm" caption="Position cups as shown in the picture." height="259" width="211"/></text_element>
			</text_block>
			<text_block format="text">
				<text_element>Ask students if they can explain what makes the cup on its side slide down while the cup on its bottom does not (until you increase the plane to a steeper angle).  The point is to give students only a basic definition of friction and then let them see what they can find out about it for themselves.  Depending on their prior knowledge, they may answer that the force of gravity makes the smooth cup slide, but that gravity isn't strong enough to make the rough cup slide until you make the angle steeper.  You can point out that the force of gravity must be great enough to overcome another force, the force of friction, in order for the cups to move.  Friction is a force that occurs between two surfaces, and it acts to impede motion.  </text_element>
			</text_block>
			<text_block format="text">
				<text_element>If the students suggest inertia as the reason why the cups do not slide, you might introduce Newton's first law of motion:  An object at rest will stay at rest unless it is acted on by an outside force.  Then you can point out that friction can be what keeps an object at rest until another, stronger force, gravity, causes it to begin moving.  Conversely, once an object is in motion, it will stay in motion until a force acts to stop it.  Friction is one such force.  For example, the friction a cup encounters as it slides across a flat table will eventually stop the cup; the cup will not keep sliding forever.  Please note, however, that if students do not bring up the subject of inertia, it is not necessary to discuss it at this point.  In fact, if your students are relatively naïve, they may be confused by trying to understand inertia at this time.  (That discussion can wait until after the students have had time to explore friction through experimenting with different surfaces as outlined in the Associated Activity.)  </text_element>
			</text_block>
			<text_block format="text">
				<text_element>Then ask your students what they think would happen if you changed the bottom of the cup by gluing sandpaper to it.  Would the cup slide more or less freely down the inclined plane.  In other words, would there be more or less friction between the cup and surface of the plane?  They will probably predict that the cup would slide less freely.  Instead of asking for their reasoning, however, tell them that if they want to compare the amounts of friction involved between the two surfaces, there is a way to measure it directly.  They can use this method to experiment with different surfaces and see for themselves what they can discover about friction in the Associated Activity, Sliding and Stuttering.</text_element>
			</text_block>
		</text_section>
	</introduction>
	<lesson_background>
		<text_section>
			<text_block format="text">
				<text_element>Friction occurs whenever two surfaces are in contact with each other, and in general, it is the roughness of the surfaces that determines the amount of friction that results.  Even surfaces that look and feel smooth may contain thousands of irregular bumps, pits, ridges, and valleys, although a microscope may be required to actually see them.  When two such surfaces slide past one another, the tiny bumps and ridges on one surface can get hung up briefly in the pits and ridges on the other surface.  It is the brief locking together of the surface irregularities that creates friction and impedes their motion.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>Static friction is the force that must be overcome in order to set a body in motion.  Kinetic friction is the force that must be overcome in order to keep a body in motion.  Kinetic friction is usually less than static friction, but both types occur mainly because of the surface macro- and microscopic imperfections.  </text_element>
			</text_block>
			<text_block format="text">
				<text_element>When an object such as a coffee cup is at rest on a table top, some of its surface imperfections are pressed up against the similar imperfections of the table, with the tiny peaks of one surface nestled into the tiny valleys of the other.  To set the cup in motion and make it slide across the table, enough force must be applied to get the peaks and valleys on the upper surface up and out of the valleys and peaks on the stationary surface below.  Static friction is the force that must be overcome to disengage these peaks and valleys in order for the cup to begin sliding across the table.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>While friction is primarily caused by surface roughness, there are many modern synthetic materials that have exceptionally smooth surfaces.  For these materials, the friction that results from surface roughness can be very, very small.  However, another source of friction can become important in these materials.  Although the mechanisms are not yet well understood, molecular attraction between two very smooth surfaces can create a surprising amount of friction.  These commonly occur between some types of plastics, and can also occur with some glass surfaces.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>Also, soft materials can deform and thereby produce increased resistance to motion.  Sliding a coffee cup across a carpet is one example of deformation friction.  In this case the surface roughness contributes relatively little to the frictional force observed; instead, the weight of the cup bends the carpet fibers down, making the cup sink into the carpet&apos;s pile.  In order to move the cup across the carpet, the unbent fibers adjacent to it have to be pushed aside and/or compressed by the cup, and this &quot;plowing through&quot; may require considerable force.</text_element>
			</text_block>
		</text_section>
	</lesson_background>
	<vocabulary>
		<definition word="friction">a resistance to motion that occurs when two surfaces are in contact with each other</definition>
		<definition word="static friction">the resistance to motion that must be overcome in order to allow one surface to begin sliding against another surface</definition>
		<definition word="kinetic friction">the resistance to motion that occurs once one surface is in motion, sliding against another surface</definition>
	</vocabulary>
	<child_documents>
		<link url="../../activities/duk_friction_smary_act/duk_friction_smary_act.xml" type="activity" description="Students use a spring scale to measure the frictional force that exists between a moving coffee mug and the surface it slides on, and by modifying the bottom surface of the mug, students can find out what kinds of surfaces generate more or less friction.">Sliding and Stuttering</link>
	</child_documents>
	<lesson_closure>
		<text_section>
			<text_block format="text">
				<text_element>After students have completed the Associated Activity (Sliding and Stuttering), ask each group for its answer to the first question on the student data sheet.  Students should be able to make some general observations, such as, &quot;There is usually less friction when two smooth surfaces slide past each other than when one (or both) of the surfaces is rough.&quot;  Once this has been established, ask them why they think the rougher surfaces create more friction than the smoother ones.  They will probably answer to the effect that rough surfaces are bumpy, and the bumps on the two surfaces hit each other and make it harder for one surface to slide past the other.  This is exactly right, but you can point out that it happens on a microscopic scale, too (see Lesson Background &amp; Concepts for Teachers section).  If students found that some of the smooth-feeling surfaces generated a lot of friction also, point out that molecular attraction and deformation are also responsible for friction.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>Ask students for examples of situations in which people try to take advantage of either reduced or increased amounts of friction between two surfaces.  Good examples include oiling a squeaky door hinge, going down a water slide, using a bath mat in the tub or shower, opening a jar with the help of a rubber gripper, and taping the end of a baseball bat.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>Also, ask your students to note what happens when they vigorously rub their palms together, or rub their palms against their thighs -- this works especially well for those wearing jeans.  They should notice that heat is generated.  This is always true of friction:  friction generates heat.  The reason is that some of the kinetic energy of the moving object is reduced by the force of friction.   Since energy cannot be lost from a system, that kinetic energy is converted to heat energy.   </text_element>
			</text_block>
			<text_block format="text">
				<text_element>We take advantage of the heat generated by friction every time we light a match.  And although we keep our mammalian bodies warm by the metabolic, fuel-burning activity of our millions of cells, we feel particularly hot during strenuous activity.  This is not only due to the fact that we are burning fuel faster when we exercise, but it is also partly due to the friction created by large blocks of muscles moving back and forth next to each other.  When we run, for example, the muscles in the fronts of our thighs, known collectively as the quadriceps, or &quot;quads&quot;, rub back and forth against those in the backs of our thighs, known as the &quot;hamstrings&quot;.  Heat is also generated by the movement of hundreds of thousands of muscle cells and their protein components as they slide past one another when we alternately contract and relax our muscles.  These sources of friction build up heat and cause us to sweat and fan ourselves in an effort to cool off.</text_element>
			</text_block>
			<text_block format="text">
				<text_element>On the other hand, if we are too cold, we shiver.  Shivering is a special type of involuntary, cyclical pattern of muscle contraction and relaxation.  It is a physiological adaptation that causes us to burn fuel and produce heat whether we want to or not, but it also lets friction help us maintain our body temperature when our clothing and shelters are not sufficient.  Regardless of the type of situation -- physiological or mechanical -- the amount of heat produced is proportional to the amount of friction generated.</text_element>
			</text_block>
		</text_section>
	</lesson_closure>
	<summary_assessment>
		<text_section>
			<text_block format="text">
				<text_element>With a writing assignment or quiz questions, students may be asked to:</text_element>
			</text_block>
			<text_block format="unordered">
				<text_element>define friction</text_element>
				<text_element>distinguish between static friction and kinetic friction</text_element>
				<text_element>explain why friction occurs</text_element>
				<text_element>describe common occurrences of friction, including those in which friction can be used to advantage in everyday life</text_element>
				<text_element>describe ways in which friction can be reduced  </text_element>
			</text_block>
		</text_section>
	</summary_assessment>
	<extensions>
		<text_section>
			<text_block format="unordered">
				<text_element>Rolling friction is the type of resistive force that can slow the motion of a wheel, tire, or ball bearing.  Rolling friction is generally much less than kinetic friction, which is why wheels and ball bearings are such remarkable inventions.  In rolling friction, both the deformation and the molecular attractions of the materials involved are important determinants of the amount of rolling resistance produced.  Students can learn more about rolling friction through simple experiments, library and/or Internet research, and taking apart ball bearings to see how they work.</text_element>
				<text_element>Take a field trip to an ice skating rink to let students experience movement in a low-friction environment, or take a trip to an indoor rock climbing facility for a challenging way to experience the interactions of gravity and friction.  </text_element>
			</text_block>
		</text_section>
	</extensions>
	<other>
		<text_section name="Acknowledgement">
			<text_block format="text">
				<text_element>This lesson and its associated activity were originally published, in slightly modified form, by Duke University&apos;s Center for Inquiry Based Learning (CIBL).  Please visit the website <link url="http://www.biology.duke.edu/cibl" type="internet">http://www.biology.duke.edu/cibl</link> for information about CIBL and other resources for K-12 science and math teachers.</text_element>
			</text_block>
		</text_section>
	</other>
	<owner name="Engineering K-Ph.D. Program" organization="Pratt School of Engineering, Duke University"/>
	<contributors>
		<contributor role="Project Writer and Consultant" name="Mary R. Hebrank" organization="Pratt School of Engineering, Duke University"/>
	</contributors>
	<copyright owner="Engineering K-Ph.D. Program, Pratt School of Engineering, Duke University" year="2004" desc="including copyrighted works from other educational institutions and/or U.S. government agencies; all rights reserved."/>
</lesson>

