Road Safety Science Every year some hundreds of people are killed on the roads in Ireland – about one a day on average. Awareness campaigns have not produced the desired change in driver behaviour. An understanding of the factors that are common to many road accidents and an understanding of the laws of motion Every some hundreds people killed on the roads may help year increase awareness of the of dangers andare encourage young people– about to take one greater careon onaverage. the road Awareness whether as campaigns in Ireland a day pedestrians, cyclists, passengers or drivers. Drivers are advised to leave at least a ‘t In three seconds a car travelling at 80 speed it would require a very fast re coefficient of friction (0.9) to bring a ca 50 m. These estimates do not take acc which is about 200–300 ms. tyres and the road; when this happens the car cannot be steered and Reaction time (normal reaction time): the the stopping distance increases. of factors auditory stimuli it time is are: Other that affect reaction Road The estimated stopping distance for time of say 2 s and a coefficient of fricti have not produced the desired change in driver behaviour. An understanding of thereaction factors that are common to many Reaction time (normal time): road accidents and an understanding of the laws of motion The average time for reaction to visual stimuli awareness of the dangers and encourage may help increase (with no choices) is young180people between and 200 to ms take greater care on the road whether as (0.18–0.20 s). In the case pedestrians, cyclists, passengers or drivers. of auditory stimuli it is Fig. 3 Adverse weather can create dangerous driving conditions. shorter (140–160 ms). When decisions are required the time required to make an appropriate response to a The average time for visual stimulus increases reaction to visual stimuli with age from about 370 (with noyear choices) is1 Scene of a crash – a common Fig. ms, for 20–30 olds, to on Irish roads between 180 200 occurence ms about 440 ms for and 60–70 year olds. (0.18–0.20 s). In the case and and Science Kinetic energy (Ek ) = ½m v 2 Work done = frictional force × distance = F × s Frictional force is equal to the coefficient of friction multiplied by the weight of the car: F = µ × mg Tyre inflation The frictional force between two surf involved and on the force between th does not depend on the contact are case of a car, the force between the s distributed over the four wheels. If the weight of the car presses on a small a the same but it is transferred through a frictional force is then more likely to ex the rubber together and bits of the ty wider tyres are desirable. Over-inflation of tyres reduces the area tyre is more likely to be abraded by steering more difficult. Higher speed reduces traction (grip o probability of aquaplaning in wet condi In the case of cars that are in good working order travelling on a dry road Fig. 3 Adverse weather can create dangerous driving conditions. the coefficient of friction (µ) ranges from about 0.6 (for ordinary cars) to Alcohol shorter (140–160 ms). When about 0.95 (for the most expensive cars). • the complexity of the situation. decisions are required the = F tyres × s and the road; when this happens the car cannot be steered and In braking Ek the • the illumination (dim situations require more time to more interpret). time required to make an ½ m v 2 the = (µstopping × mg) × sdistance increases. • appropriate a driver’s general level of alertness. response to a Therefore s = v 2Kinetic /(2 × µ ×energy g), (Ek ) = ½m v 2 stimulus increases • visual normal but unexpected events (e.g. brake lights on the car ahead). where g is the acceleration due to gravity. with age from about 370 Work done = frictional force × distance = F × s • unusual and unexpected events (e.g. car approaching on the wrong Fig. 1 Scene of a crash – a common ms, 20–30 This shows that the braking distance (s) is proportional to the speed sidefor of the road).year olds, to Frictional force is equal to the coefficient of friction multiplied by the 2 occurence on Irish roads squared (v ); e.g. doubling the speed increases the stopping distance by about 440 ms for 60–70 weight of car theiscar: = µ ×Formg • blood alcohol level, which is a factor in about 33% of road accidents, a factor of four. The mass of the not aFfactor. an ordinary car year olds.reaction time and impairs judgement. increases travelling at 100 km/hour (27.8 m/s) the braking distance would be about In the case of cars that are in good working orderFig. travelling on a dry 4 Every year more then road 300 55 m; this does not take account of the driver’s response time. Many studies have that shown that 95% of real response times of drivers are Other factors affect reaction time are: people are killed on our roads. the coeffi cient of friction (µ) ranges from about 0.6 (for ordinary cars) to in the range 1.5 to 2.5 seconds; the faster responses were recorded In wet conditions the coefficient of friction is about 40% less and if about 0.95 (for the most expensive cars). when drivers were warned thatsituation. there might be a hazard and were • the complexity of the the wheels lock it may be as low as 0.1, increasing the braking therefore in a state of readiness. distance dramatically. • the illumination (dim situations require more time to more interpret). • Speed and a driver’s general level of alertness. distance braking In braking Two examples Ek = F × s ½ m v 2 = (µ × mg) × s In o s a p ti c s c (0 0 s 2 m the body mass the higher the BAC. In drivers varies from zero (Czech Repub UK) but is mostly 50 mg/100 ml or 0.05 In 2003, 36.5% of fatal road accidents in Consider the followingTherefore two situations: s = v 2/(2 × µ × g), report at http://www.rsa.ie/publication/ normal but unexpected brake on the car 1.ahead). Theevents stopping(e.g. distance for a lights car depends Joe is an average driver, alert and driving at 80 km/h (22.2 m/s) on a where g is the acceleration due to gravity. on driver reaction time, the speed of Driving requires constant attention and main road in daylight. • unusual and unexpected events (e.g. car approaching the car, the slope and condition of the on the wrong The ability to respond appropriately to This shows that the braking distance (s) is proportional to consumption the speed of alco 2. Pat is an average driver, tired and driving at 80 km/h on a poorly lit side of the road). road surface, the condition of the tyres compromised by 2 minor road late at night. the stopping distance squared (v ); e.g. doubling the speed increasesmobile and the brake system of the car. In phones. Every year by 300–400 p • blood alcohol level, which is aa car factor in its about 33% of road accidents, bringing to rest kinetic energy about 1200 are seriously factor(e.g. of afour. The mass of the car iswillnot a factor. For an ordinaryinjured car and o If an unexpected eventaoccurs person walks out onto the road) must be dissipated in some way; ideally is important to ensure your tyres an increases reaction time and impairs judgement. they be able to avoid atravelling collision? at 100 km/hour (27.8 m/s) the brakingItdistance would be about it generates heat in the brakes. If the good condition in order to protect you a 55 m; this does not take account of the driver’s response time. Joe’s response time might be expected to be about 1.5 s; during that are applied hard that times the Many studies have shownbrakes that 95% of realsoresponse of drivers are • Fig. 2 Skid marks left by in the range emergency braking.1.5 the car travels 33 m. Once the brakes are applied the car travels a wheels cannot then the car skids were time to 2.5 seconds; theturn faster responses recorded Inbrought wet conditions thetotal coeffi cientdistance of friction is about 40% less and if further 37 m before it is to a stop. So the stopping and frictional energy is dissipated in when drivers were warned that there might be a hazard and wereµ=0.7) is 70 (assuming m. wheels lock it may be as low as 0.1, increasing the braking the therefore in a state of readiness. distance dramatically. Fig. 2 Skid marks left by emergency braking. Speed and braking distance Two examples The stopping distance for a car depends on driver reaction time, the speed of the car, the slope and condition of the road surface, the condition of the tyres and the brake system of the car. In bringing a car to rest its kinetic energy must be dissipated in some way; ideally it generates heat in the brakes. If the brakes are applied so hard that the wheels cannot turn then the car skids and frictional energy is dissipated in 1. Joe is an average driver, alert and driving at 80 km/h (22.2 m/s) on a main road in daylight. Consider the following two situations: 2. Pat is an average driver, tired and driving at 80 km/h on a poorly lit minor road late at night. If an unexpected event occurs (e.g. a person walks out onto the road) will they be able to avoid a collision? Joe’s response time might be expected to be about 1.5 s; during that time the car travels 33 m. Once the brakes are applied the car travels a further 37 m before it is brought to a stop. So the total stopping distance (assuming µ=0.7) is 70 m. and Science Road Safety IN AND SCIENCE TECHNOLOGY SECOND EDITION EDITION ACTION THIRD d Safety Every year some hundreds of people are killed on the roads in Ireland – about one a day on average. Awareness campaigns have not produced the desired change in driver behaviour. An understanding of the factors that are common to many road accidents and an understanding of the laws of motion The estimated stopping distance for Pat’sand car,encourage assuming a response may help increase awareness of the dangers time of people say 2 s to and a coeffi cient of friction of 0.4, would be young take greater care on the road whether as 107 m. pedestrians, cyclists, passengers or drivers. Drivers are advised to leave at least a ‘three second’ gap between cars. In three seconds a car travelling at 80 km/h covers 66 m and at that Reaction time (normal reaction time): speed it would require a very fast response time (1 s) and a high The average time for(0.9) to bring a car to an unanticipated stop within coeffi cient of friction reaction to visual stimuli 50 m. These estimates do not take account of brake engagement time (with no choices) is which about betweenis180 and 200–300 200 ms ms. The estimated stopping distance for time of say 2 s and a coefficient of fricti Drivers are advised to leave at least a ‘t In three seconds a car travelling at 80 speed it would require a very fast re coefficient of friction (0.9) to bring a ca 50 m. These estimates do not take acc which is about 200–300 ms. Tyre inflation The frictional force between two surf involved and on the force between th does not depend on the contact are case of a car, the force between the s distributed over the four wheels. If the weight of the car presses on a small a the same but it is transferred through a frictional force is then more likely to ex the rubber together and bits of the ty wider tyres are desirable. (0.18–0.20 s). In the case of auditory stimuli it is Fig. 3 Adverse weather can create dangerous driving conditions. shorter (140–160 ms). When decisions are required the the tyres and the road; when this happens the car cannot be steered and The frictional between two surfaces depends on the materials time required to force make an the stopping distance increases. involved on the appropriateand response to aforce between them. Contrary to expectation, it Over-inflation of tyres reduces the area 2 visual not stimulus increases does depend on the contact area – at least not directly. InKinetic the energy (Ek ) = ½m v tyre is more likely to be abraded by with age 370 between the surfaces is the weight of theWork steering more difficult. case of afrom car,about the force car,done = frictional force × distance = F × s Fig. 1 Scene of a crash – a common ms, for 20–30 year olds, to Frictional force is equal to the coefficient of friction multiplied by the distributed over the four wheels. If the wheels are very narrow then the occurence on Irish roads Since January 2000 all cars four years and older in Ireland must traction (grip o Higher speed reduces about 440 ms for 60–70 weight of the car: F = µ × mg probability aquaplaning weight year olds.of the car presses on a small area. The frictional force remains undergo a test called the National Car Test [NCT]. Thisoftest was in wet condi In the case of cars that are in good working order travelling on a dry road the same but it is transferred through a small amount of rubber. A large introduced to improve road safety, to reduce harmful emissions Other factors that affect reaction time are: coefficient of friction (µ) ranges from about 0.6 (for ordinary cars) to frictional force is then more likely to exceed the internal forces the holding and to comply with the EU Directive 96/96/ECAlcohol which makes car about 0.95 (for the most expensive cars). • the complexity of the situation. the rubber together and bits of the tyre are worn off. For this reason In testing compulsory in all EU member states. In braking Ek = F × s o • the illumination (dim situations require more time to more interpret). wider tyres are desirable. s ½ m v 2 =Following (µ × mg) × a s competitive tender process, the SGS Group was • a driver’s general level of alertness. a Over-inflation of tyres reduces the area of contact with the road Therefore and the s =awarded v 2/(2 × µ ×the g), contract to operate and manage the car testing p • normal but unexpected (e.g. brake by lights on the carUnder-infl ahead). ation makes tyre is more likely toevents be abraded friction. service in Ireland. NCTS now operates 43 Test Centres ti where g is the acceleration due to gravity. steering difficult. events (e.g. car approaching on the wrong • unusualmore and unexpected throughout the country. The SGS Group is the largest inspection, c This shows that the braking distance (s) is proportional to the speed side of the road). s testing and verification company in the world. squared Higher speed reduces traction (grip on the road) and increases the(v2); e.g. doubling the speed increases the stopping distance by c • blood alcohol level, which is a factor in about 33% of road accidents, a factor of four. The mass of the car is not a factor. For an ordinary car probability of aquaplaning in wet conditions. (0 Although this lesson has been about braking, the NCTS tests increases reaction time and impairs judgement. travelling at 100 km/hour (27.8 m/s) the braking distance would be about 0 Fig. 4 tyres, Every yearlights, more then 300 all physical aspects of time. car safety: wheels, 55 m; this does not take account of the driver’s response Many studies have shown that 95% of real response times of drivers are s people are killed on our roads. steering, electrical systems, mirrors, fuel systems etc. The in the range 1.5 to 2.5 seconds; the faster responses were recorded 2 In wet conditions the coefficient of friction is about 40% less and if standards for exhaust emissions for both petrol and diesel when drivers were warned that there might be a hazard and were m wheels lock it may be as low as 0.1, increasing the braking International studies of thethe effects therefore in a state of readiness. the body mass the higher the BAC. In effects of distance dramatically. engines are designed to minimise the harmful of alcohol on driving show drivers varies from zero (Czech Repub atmospheric pollution. UK) but is mostly 50 mg/100 ml or 0.05 significant impairmentTwo of examples Tyre inflation The National Car Testing Service Alcohol Speed and braking distanceattentiveness, The NCTS employs about 450 people in vehicle inspection, visual function, In 2003, 36.5% of fatal road accidents in Consider the following two situations: customer service, technical and administrative roles. report at http://www.rsa.ie/publication/ perception and choice reaction The stopping distance for a car depends 1. Joe is an average driver, alert and driving at 80 km/h (22.2 m/s) on a time time, (the time of requiredmain toroad in daylight. on driver reaction the speed Driving requires constant attention and choose a response the car, the slope and condition of the to a complex The ability to respond appropriately to 2. Pat is an average driver, tired and driving at 80 km/h on a poorly lit road surface, situation) the condition of the tyres compromised by consumption of alco when blood alcohol minor road late at night. and the brake system of the car. In mobile phones. Every year 300–400 p content (BAC) is 10 mg/100 mL bringing a car to rest its kinetic energy about 1200 are seriously injured and o If an unexpected event occurs (e.g. a person walks out onto the road) will (0.01 g/100 mL, 0.01% g/mL or must be dissipated in some way; ideally It is important to ensure your tyres an they be able to avoid a collision? 0.1 ing/L). Consumption of one it generates heat the brakes. If the good condition in order to protect you a Fig. 4 Every year more then 300 Joe’s response time might be expected to be about 1.5 s; during that brakes are applied so hard the the BAC by standard drinkthat raises people are killed Fig. 2 Skid marks lefton by our roads. time the car travels 33 m. Once the brakes are applied the car travels a wheels cannot turn then the car skids emergency braking. 20 to 30 mg/100 mL, depending further 37 m before it is brought to a stop. So the total stopping distance and frictional energy is dissipated in mainly on body mass – the lower µ=0.7) is 70 m. (assuming the body mass the higher the BAC. In Europe the BAC legal limit for drivers varies from zero (Czech Republic) to 80 mg/100 ml (Ireland and Fig. 5 Brake testing in Deansgrange NCTS centre UK) but is mostly 50 mg/100 ml or 0.05%. In 2003, 36.5% of fatal road accidents in Ireland were alcohol related (cf. report at http://www.rsa.ie/publication/publication/). Driving requires constant attention and anticipation of possible hazards. The ability to respond appropriately to unexpected events is seriously compromised by consumption of alcohol and by distractions such as mobile phones. Every year 300–400 people are killed on Irish roads, about 1200 are seriously injured and over 10,000 suffer lesser injuries. It is important to ensure your tyres and brakes are maintained and in good condition in order to protect you and others on the road. Find out more about the NCTS and car testing at www.ncts.ie and at www.sta.ie. You can also find out more about the SGS Group at www.ie.sgs.com. Road Safety Science Every year some hundreds of people are killed on the roads in Ireland – about one a day on average. Awareness campaigns have not produced the desired change in driver behaviour. An understanding of the factors that are common to many road accidents and an understanding of the laws of motion Syllabus Reference may help increase awareness of the dangers and encourage young people to take greater care on the road whether as Leaving Certifi cate Physicsor drivers. pedestrians, cyclists, passengers 1.1. Linear motion Reaction time (normal reaction time): and and Science Road S The estimated stopping distance for time of say 2 s and a coefficient of fricti • Drivers are advised to leave at least a ‘t In three seconds a car travelling at 80 speed it would require a very fast re coeffi cient friction (0.9) to bring a ca The stopping distance for a car travelling at 80 km/h isoftypically in the 50 m. These estimates do not take acc range 50 to 125 m. At 120 km/h it is 90 to 240 which m (depending on driver is about 200–300 ms. response, road conditions and the kind and condition of the tyres). • inflation Three seconds should be regarded as Tyre a minimum time gap The frictional force between two surf between vehicles. 2.1. Newton’s laws of involved and on the force between th The average time for motion does not depend on the contact are reaction to visual stimuli case of a car, the force between the s (with no choices) is Junior180 Certifi cate distributed over the four wheels. If the between and 200 ms Science weight of the car presses on a small a (0.18–0.20 s). In–the case Section 3A1 Measurement in science; 3A3 Force and moments; 3A5 the same but it is transferred through a of auditory stimuli it is Fig. 3 Adverse weather can create dangerousof driving conditions. Get two pieces wood of about equal Work and power; 3A6 Energy; 3A7 Energy conversion frictional force is then more likely to ex shorter (140–160 ms). When size (e.g. 300 × 150 × 15 mm). Glue a layer of rubber (e.g. from and an old the rubber together bits of the ty decisions are required the the tyres and the road; when this happens the car cannot be steered and car tube) to one face of one of the pieces; glue half asare much rubber wider tyres desirable. time required to make an the stopping distance increases. to the second piece. Then attach a hook to one end of ofeach piece the area appropriate response to a Over-infl ation tyres reduces ) =wood. ½m v 2 Kinetic energy (Eof visual stimulus increases k tyre is more likely to be abraded by with age from about 370 Work done = frictional force × distance = F × s steering more difficult. Fig. 1 Scene of a crash – a common ms, for 20–30 year olds, to Place blocks, side down, on level path (concrete or tarmac). Frictional force is equal to the the coeffi cientrubber of friction multiplied by a the occurence on Irish roads Higher speed reduces traction (grip o On completing this lesson, students should be more about 440 ms for 60–70 each block in turn with large masses (e.g. 3, 4, 5 kg) and measure weight of the car: F =Load µ × mg probability of aquaplaning in wet condi year olds. that: aware the forceorder it can withstand without In the case of cars that aremaximum in good working travelling on a dry road moving. Does the force vary Other factors time are: with(µ)the sizefrom of the total of each block? Does it vary with • cars dothat notaffect stopreaction the instant the brakes are applied the coefficient of friction ranges about 0.6 weight (for ordinary cars) loaded to Alcohol about 0.95 (for the most cars). the expensive size of the rubber surface? • the complexity of the situation. In • the stopping time comprises response time, brake activation time In braking Ek = F × s o • the illumination (dim situations require more time to more interpret). In each case divide the maximum force by the weight (mg). (This is the and braking time s ½ m v 2 = (µ × mg) × s • a driver’s general level of alertness. coefficient of friction.) What do you notice? a s = v 2/(2 × µ × g), • the stopping distance is the total distance a car travelsTherefore during p • normal but unexpected events (e.g. brake lights on the car ahead). If possible measure the force required to keep each block moving response, brake activation and braking ti where g is the acceleration due to gravity. • unusual and unexpected events (e.g. car approaching on the wrong steadily. Is the static friction greater than the dynamic friction? How c This shows that the braking distance (s) is proportional to the speed • side theofbraking the road).distance is proportional to the square of the speed s does this apply to braking? squared (v2); e.g. doubling the speed increases the stopping distance by c •• blood level,coeffi whichcient is a factor in about 33% of road accidents, factor of four. The mass of the car is not a factor. For an ordinary car the alcohol effective of friction varies with the type of acar, the (0 Measure people’s reaction time in situations requiring no choice and in increases reaction time and impairs judgement. travelling at 100 km/hour (27.8 m/s) the braking distance would be about condition of the tyres (tread, inflation) and the condition of the road 0 Fig. 4 Every year more then 300 situations requiring two (or more) choices. (A simple online reaction 55 m; this does not take account of the driver’s response time. Many(wet/dry, studies have shown that 95% of real response times of drivers are s people are killed on our roads. slope) timer is available at http://getyourwebsitehere.com/jswb/rttest01.html#) in the range 1.5 to 2.5 seconds; the faster responses were recorded 2 In wet conditions the coefficient of friction is about 40% less and if Remember that reactions times are much longer in the case of when drivers were warned that there be alertness, a hazard and wereof vision m • the response time varies withmight driver clarity the (light wheels lock it may be as low as 0.1, increasing the braking therefore in a state of readiness. the body mass the higher the BAC. In unexpected events. distance dramatically. level, glare) drivers varies from zero (Czech Repub UK) but is mostly 50 mg/100 ml or 0.05 Two examples • consumption of alcohol impairs driving skills (appropriate response, Student Activity Learning Outcomes Speed and braking judgement, steering ability, visual function). distance True/False Questions In 2003, 36.5% of fatal road accidents in Consider the following two situations: report at http://www.rsa.ie/publication/ The stopping distance for a car depends 1. Joe is an average driver, alert and driving at 80 km/h (22.2 m/s) on a on driver reaction time, the speed of Driving requires constant and (a) Stopping distance is not the same as braking distance. T attention F main road in daylight. the car, the slope and condition of the The ability to respond appropriately to 2. Pat is an average driver, tired and driving at 80 km/h on a poorly lit road surface, the condition of the tyres compromised by consumption of alco (b) Most drivers can respond to unexpected situations minor road late at night. and the brake system of the car. In mobile phones. Every T year in less than a second. F 300–400 p bringing a car to rest its kinetic energy about 1200 are seriously injured and o If an unexpected event occurs (e.g. a person walks out onto the road) will be dissipated in some way; ideally Work equals force multiplied by distance. It is important to ensure T your F tyres an be able to avoid(c) a collision? • In braking a car’s kineticmust energy must be dissipated (usually asthey heat). it generates heat in the brakes. If the good condition in order to protect you a Joe’s response time might be expected to be about 1.5 s; during that brakes are applied so hard that the (d) Kinetic energy is proportional to speed. T F •Fig. the kinetic car; 2 Skid marks left byenergy = the work done in stopping the time the car travels 33 m. Once the brakes are applied the car travels a wheels cannot turn then the car skids emergency × s = µ × mg ×and s. frictional energy is dissipated in Ek = Fbraking. further 37 m before it(e) is brought to a stop. So the total stopping distance Over 10,000 people are injured on Irish road each year. T F (assuming µ=0.7) is 70 m. General Learning Points • Braking distance is proportional to the speed squared. (f) Friction between car wheels and the road is essential for accelerating; braking and turning or steering. T F (g) Over inflation of tyres increases the braking distance. T F (h) If the wheels lock (are unable to rotate) the braking distance is reduced. T F (i) The braking distance of a car is unaffected by rain. T F • Under-inflation of tyres impairs steering. (j) Aquaplaning occurs in wet conditions and does not depend on speed. T F • Response time to unexpected situations is typically in the range 1.5 to 2.5 seconds. (k) A car travelling at 120 km/h covers 33 m in one second. T F • The effective coefficient of friction is not the same for all cars; the more expensive cars generally have wider tyres which can transfer more force without mechanical failure (serious abrasion). • The coefficient of friction decreases by about 40% in wet conditions (assuming the tyres are in good condition). • Over-inflation of tyres reduces stopping distance. • Dimly lit situations require more processing time. Check your answers to these questions on www.sta.ie and Science Road Safety IN AND SCIENCE TECHNOLOGY SECOND EDITION EDITION ACTION THIRD d Safety Every year some hundreds of people are killed on the roads in Ireland – about one a day on average. Awareness campaigns have not produced the desired change in driver behaviour. An understanding of the factors that are common to many road accidents and an understanding of the laws of motion Examination Questions may help increase awareness of the dangers and encourage young people to take greater care on the road whether as 2006 Leaving Certifi cate Ordinary Level pedestrians, cyclists, passengers or drivers. The estimated stopping distance for time of say 2 s and a coefficient of fricti Drivers are advised to leave at least a ‘t In three seconds a car travelling at 80 speed it would require a very fast re coeffi of and friction (0.9)for to bring a ca The water content of the body tissues is about 58% forcient men 49% 50 m. These estimates do not take acc women and men are generally heavier than women (76 kg vs. 62 kg for which is about 200–300 ms. A person pushed a car a distance of 15 m with a force of 500 N. Calculate Reaction time (normal reaction the work done by the person. (W = Fs) time): The average time for reaction to visual stimuli 2002 Leaving Certifi (with no choices) is cate Ordinary Level between 180 and 200 ms a) What is friction? (0.18–0.20 s). In the case of auditory stimuli it is b) A car of mass 800 kg is travelling at 10 m s-1. shorter (140–160 ms). When decisions are required the What is its kinetic energy? (Ek = ½mv 2 ) time required to make an appropriate response to a visual stimulus 2005 Juniorincreases Certificate Higher Level with age from about 370 Friction is an example a force. 1 SceneIt of acts a crashin – amany commonways. ms, for 20–30 year olds, to of Fig. occurence on Irish roads about 440 ms for 60–70 driven, friction can be both useful and not useful. year olds. 25 year olds). These two factors increase the effects of alcohol consumption on BAC of young women by about Tyre 45%. inflation The coefficient of friction of between rubber and The ice frictional is aboutforce 0.25between if dry two surf involved and on the force between th and less than 0.2 if wet; treating the surface with grit increases the does not depend on the contact are friction to about 0.4. However loose grit reduces the coeffi friction case of a cient car, theofforce between the s distributed over the four wheels. If the on dry, ice-free roads. Fig. 3 Adverse weather can create dangerous driving conditions. the tyres and the road; when this happens the car cannot be steered and the stopping distance increases. Biographical Notes Kinetic energy (Ek ) = ½m v 2 Work done = frictional force × distance = F × s weight of the car presses on a small a the same but it is transferred through a frictional force is then more likely to ex the rubber together and bits of the ty wider tyres are desirable. Over-inflation of tyres reduces the area tyre is more likely to be abraded by steering more difficult. Aristotle (384–322 BC) When aFrictional car is force is equal to the coefficient of friction multiplied by the Higher speed reduces traction (grip o weight of the car: F Aristotle = µ × mg entered Plato’s academy at the age of eighteen and studied probability of aquaplaning in wet condi there for twenty years. Some years after Plato’s death Aristotle set up In the case of cars that are in good working order travelling on a dry road Give two examples of when friction is useful when a car is driven. Other factors that affect reaction time are: his own academy which the Lyceum. the coefficient of friction (µ) ranges from about 0.6he (forcalled ordinary cars) to Alcohol about 0.95 (for the most expensive cars). Give examples when friction is not useful when a car is driven. • thetwo complexity of theof situation. In The Greek approach to science was theoretical and often quite In braking Ek = F × s o • the illumination (dim situations require more time to more interpret). speculative; it was not customary to carry out experiments to s ½ m v 2 = (µ × mg) × s 2004 Junior Certifi Higher Level verify theories. • a driver’s general level ofcate alertness. a Therefore s = v 2/(2 × µ × g), A was 30 m/s the brakes were applied. The car p • car normal buttravelling unexpectedatevents (e.g.when brake lights on the car ahead). Aristotle wrote on all subjects from politics and ethics to logic and ti g is the acceleration due to gravity. came to rest in 12 seconds. The table gives the velocity of the carwhere at two • unusual and unexpected events (e.g. car approaching on the wrong science. He proposed that the speed of falling bodies was proportional c second This shows that the braking distance (s) is proportional to the speed side ofintervals the road). during this time. s to their weight and that the speed of each body did not change as it fell. squared (v2); e.g. doubling the speed increases the stopping distance by c firstofsight might appear • blood alcohol level, which is a factor in about 33% of road accidents, a factor of four. TheAt mass the carthis is not a factor. For anreasonable. ordinary car However it is easy to show (0 Velocity (m/s) 20 15 10 5 0 increases reaction time and30 impairs25 judgement. that falling bodies do not fall at a constant travelling at 100 km/hour (27.8 m/s) the braking distance would be about speed – they accelerate. 0 Many studies have shown that 95% of real response times of drivers are Time (s) 0 2 4 6 8 in the range 1.5 to 2.5 seconds; the faster responses were recorded when drivers were warned that there might be a hazard and were therefore in a stateon of readiness. Draw a graph, graph paper, of velocity against time. 55 m; this does not take account of the driver’s response time. Fig. 4 Every year more then 300 s our roads. Strato, who was one of Aristotle’s successors aspeople headareofkilled theonLyceum, 2 In wet conditions the coefficient of friction is about 40% less and if observed that as rain ran off a roof the distance between the drops m the wheels lock it may be as low as 0.1, increasing the braking increased as they fell. He deduced that theirthe speed could bethe BAC. In body mass thenot higher distance dramatically. drivers varies fromthat zero the (Czech Repub constant – they were in fact accelerating. He also observed UK) but is mostly 50 mg/100 ml or 0.05 Two examples Put velocity on the y-axis. Use the graph find Speed and to braking impact of a stone on the ground varied with the height from which it was In 2003, 36.5% of fatal road accidents in two situations: dropped; therefore it did not have a constant speed. distance (i) the time taken for the velocity of the car to reduce to 12.5 m/sConsider the following 10 12 report at http://www.rsa.ie/publication/ The stopping distance for a car depends 1. Joe is an average driver, alert and driving at 80 km/h (22.2 m/s) on a Despite this insight Aristotle’s views on motion dominated natural (ii) the velocity of the car 3on seconds after the were driver reaction time,brakes the speed of applied main road in daylight. Driving requires constant attention and philosophy for nearly 2000 years – until the time The Galileo Newton. the car, the slope and condition of the abilityand to respond appropriately to 2. Pat is an average driver, tired and driving at 80 km/h on a poorly lit (iii) the acceleration of the car. road surface, the condition of the tyres compromised by consumption of alco For further Fig. 2 Skid marks left by emergency braking. and the brake system of the car. In bringing a car to rest its kinetic energy examples of pastinpaper questions must be dissipated some way; ideally it generates heat in the brakes. If the check www.sta.ie brakes are applied so hard that the wheels cannot turn then the car skids and frictional energy is dissipated in minor road late at night. mobile phones. Every year 300–400 p Find out more about other famous scientists about on 1200www.sta.ie are seriously injured and o If an unexpected event occurs (e.g. a person walks out onto the road) will they be able to avoid a collision? Joe’s response time might be expected to be about 1.5 s; during that time the car travels 33 m. Once the brakes are applied the car travels a further 37 m before it is brought to a stop. So the total stopping distance (assuming µ=0.7) is 70 m. Did You Know? The effects of blood alcohol content (BAC) No. of drinks BAC (mg/100 mL) Effects 1 20 to 30 noticeable effects (on perception etc.) 5 100 to 150 intoxication 24 240 to 360 unconsciousness 36 360 to 480 coma or death It is important to ensure your tyres an good condition in order to protect you a Revise The Terms Can you recall the meaning of these terms? Reviewing the terminology is a powerful aid for recall and retention. Velocity; energy; kinetic energy; mass; force; work; the principle of conservation of energy; newton (N); friction; coefficient of friction; static friction; dynamic friction, illumination; coefficient of friction; braking distance; response time; stopping distance; brake engagement time; abrade; aquaplaning; standard drink Check the Glossary of Terms for this lesson at www.sta.ie
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