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STAAR Reporting Category 2 Force, Motion, & Energy Middle School Science Science STAAR Need to Know Science STAAR Need to Know 1 Journal Entry 2 3 Problem: In which position does the ball have the greatest kinetic energy and least potential energy? 4 Claim: 5 Scientific Explanation: Position 2 The closer the ball is to the ground, the greater is its kinetic energy and the least is its potential energy. The further away the ball is from the ground, the greater is its potential energy and the less is its kinetic energy. 6 Force is a push or pull. 7 PCES A teenager pulls a rope to the left with a force of 12 N. A child pulls on the other end of the rope with a force of 7 N. The child’s friend adds a force of 8 N, also pulling to the right. What will happen? A.The net force will be 3 N to the right. B.The net force will be 15 N to the left. C.The net force will be 12 N to the right. D.The net force will be 27 N to the left. 8 Problem: 12N 7N 8N What is the magnitude of the force, and in which direction will it move? 9 Claim: 10 Scientific Explanation: A 12N 15N Answer is 3N 11 PCES Which of the following always causes change in speed? A.balanced forces B.unbalanced forces C.either balanced or unbalanced forces D.any combination of forces 12 Problem: What type of force indicates a change in speed? 13 Claim: 14 Scientific Explanation: B When an object increases or decreases in speed, then the forces acting on the object are unbalanced. 15 Journal Entry – Case One A commentator has described an athlete as running northwest at 5 m/s. Which attribute of the athlete has the commentator described? A. force B. speed C. velocity D. acceleration 16 Problem: Which attribute of an athlete is described in running northwest at 5m/s. 17 Claim: 18 Scientific Explanation: Velocity = distance with direction time v = d with direction t v = d (meters) with direction t (seconds) 19 Journal Entry Case Two Acceleration is also described as the rate at which velocity changes. Based on the data table below, what is the acceleration of the ball in m/s2. Note: The unit for acceleration is m/s2. 20 Problem: What is the rate of change in velocity of the ball? 21 Claim: 22 Scientific Explanation: Rate of change in velocity is called acceleration. acceleration = change in velocity time = 19.6 m/s - 9.8 m/s = 9.8 m/s 2s 2s = 4.9 m/s2 23 Problem Solving Speed, Velocity and Acceleration Problems 1. A cat ran 50 meters north of the shopping center at a velocity of 6 m/s. How long did the cat run? d 50 m s t 6 m/s ? north velocity = 6m/s north distance = 50 m time = ? t = d = 50m = 8.33s s 6m/s 2. Calculate the velocity of a car that went a distance of 135 kilometers north in 2 hours time. d 135 km v ? m/s north t 2 hours velocity = ? north distance = 135 kilometers time = 2 hours v= d =135 km t 2h = 67.5 km/h north 3. A ball is thrown a distance of 20 meters. What is its speed if it takes 0.4 seconds to cover the distance? d 20 m s t ? m/s 0.4 s speed = ? distance = 20 meters time = 0.5 seconds s = d = 20 m = 50m = 50 m/s t 0.4 s s 4. A car is travelling at a velocity of 500 km/h for 4 hours south of Arkansas. What is the total distance traveled? d ? v 500 km/h south t 4 hours velocity = 500 km/h distance = ? time = 4 hours d= v x t = 500km/h x 4 h = 2000 km 5. What is the acceleration of a 50 kg object pushed with a force of 500 newtons? F m 500N 50kg a a F = a m 2 m/s 500 N= 500 kg. 50kg 50kg = 2 10m/s 6. If it takes Juan 4 seconds to run from the batters box to first base at an average speed of 6.8 m/s, what is the distance she covers in that time? d ? s 6.8 m/s t 4s speed = 6.8m/s distance = ? time = 4 seconds d = s x t = 6.8m/s x 4s = 27.2 m 7. A force of 250 N is applied to an object that accelerates at a 2 rate of 5 m/s . What is the mass of the object? F m 250N m 2 5m/s a F = m a 2 250N = 50N = 10kg.m/s 2 2 2 5m/s 5m/s m/s = 10kg 8. John ran 50 meters north of Arlington at a velocity of 6 m/s. How long did he run? d 50 m s t 6 m/s ? north velocity = 6m/s north distance = 50 m time = ? t = d = 50m = 8.33s s 6m/s Density Problems 1. Calculate the density of vegetable oil if 35ml of the oil weighs 65g. m D 65g D 35ml v D = m = 65g v 35ml D = 1.85g = 1.85g/ml ml 2. Find the mass of 250 ml of benzene. The density of benzene is 0.82g/ml. m D m 0.82g/ml 250ml v m=Dxv = = 0.82g x 250ml ml = 205g 3. What volume of silver metal will weigh exactly 250g. The density of 3 silver is 10.5 g/cm m D 250g 3 10.5g/cm v v v = m = 250g 3 D 10.5g/cm v = 23.80g = 3 g/cm 3 23.80cm 4. 28.5 g of iron is added to a graduated cylinder containing 45.5 ml of water. The water level rises to the 49.1 ml mark, From this information, calculate the density of iron. m D 28.5g D 49.1ml – 45.5ml v m D 28.5g D 3.6ml v D = m = 28.5g v 3.6ml D = 7.91g = 7.91g/ml ml Work Problem Case One Case Two Calculate the work done in case one and case two. Draw a triangle for each case and show working with units. Case One W W 200N 1 m F d W = F.d = 200N x 1m = 200 N.m = 200 J Case Two W W 400N 0m F d W = F.d = 400N x 0m = 0 N.m =0J No work has been done. Identifying Newton’s Laws of Motion Which Newton’s Laws of Motion does each of the conditions apply to? Explain your answer briefly. 1. A person’s body is thrown forward as a car comes to a sudden stop. Newton’s First Law All objects resist change in their state of motion. 2. A picture is hanging on a wall and does not move. st 1 Newton’s Law An object at rest will stay at rest unless acted by an unbalanced force. 3. A person not wearing a seatbelt flies through a car window when someone slams on the breaks because the person’s body wants to remain in continuous motion even when the car stops. st 1 Newton’s Law Due to inertia, the person wants to continue to be in a state of motion even after brakes are applied. 4.Pushing a child on a swing is easier than pushing an adult on the same swing, because the adult has more inertia. nd 2 Newton’s Law Heavier objects require more force to move the same distance as lighter objects. 5. A soccer ball accelerates more than a bowling ball when thrown with the same force. nd 2 Newton’s Law The greater the mass of the object, the greater the amount of force needed to accelerate the object. 6. A soccer player kicks a ball. The ball eventually stops because of friction. st 1 Newton’s Law An object in motion will keep moving unless acted upon by an unbalanced force. 7. A student leaves a pencil on a desk and the pencil stays in the same spot until another student picks it up. st 1 Newton’s Law An object at rest will stay at rest unless acted upon by an unbalanced force. 8. Two students are in a baseball game. The first student hits a ball very hard and it has a greater acceleration than the second student who bunts the ball lightly. Newton’s 2nd Law A greater force applied on an object of the same mass will cause it to accelerate faster. PCES Problem: What is the difference between speed and velocity? Claim: Scientific Explanation: G s=d t v=d t with direction PCES Problem: What is velocity? Scientific Explanation: C velocity = distance with direction time = meters second with direction Journal Entry – Case One Select the correct answer and explain. If it takes Juan 4 seconds to run from the batters box to first base at an average speed of 6.8 m/s, what is the distance he covers in that time? Record your answer and fill in the bubbles in your answer document. Problem: speed = 6.8 m/s time = 4 s distance = ? d ? s 6.8 m/s t 4s time = 4 s speed = 6.8 m/s distance = ? d=sxt = 6.8 m/s x 4s = 27.2 m Case Two John ran 50 meters north of Arlington at a velocity of 6 m/s. How long did he run? Record your answer and fill in the bubbles in your answer document. Problem: distance = 50 m north velocity = 6 m/s time = ? d 50 m north v t 6 m/s ? velocity = 6 m/s distance = 50 m north time = ? t = d = 50m = 8.33 s v 6 m/s PCES Problem: When does the marble experience unbalanced forces? Claim: Scientific Explanation: G The marble experiences unbalanced forces when the speed is increasing or decreasing. PCES Problem: When will the sled experience unbalanced force? Claim Scientific Explanation: C The sled will experience an unbalanced force when its speed is increasing in section 2 and decreasing in section 4. Journal Entry – Case One Problem: Trial 1 time = 4 s distance = 5.6 m speed = ? Trial 1 d 5.6 m s t ? 4s s = d = 5.6 m = 1.4 m t 4s s = 1.4 m/s Problem: Trial 2 time = 4 s distance = 5.6 m speed = ? Trial 2 d 7m s t ? 5s s = d = 7 m = 1.4 m t 5s s = 1.4 m/s average speed during the two trials is 1.4 m/s Case Two Problem: What will happen if the force applied on the car increases from 25 N to 35 N? H. When force applied on the car increases, then the speed of the car will increase. Problem: Which cart will have the greatest change in speed if the same amount of force is applied? Claim: Scientific Explanation: A Same amount of force is applied to all the carts. The cart with 10 g mass is the lightest. It will have the greatest change in speed when pushed. PCES Problem: How does the surface of the ramp affect the speed of a car? Claim Scientific Explanation: A The type of material used on the surface of the ramp affects the speed of the car. Journal Entry – Case One Problem: How does the mass of the car affect its stopping time when brakes are applied? Scientific Explanation: Both cars are traveling at the same speed. The car with less mass will need less force to stop it. Case Two Problem: mass = 0.025 kg force = 5 N accleration = ? F m 5N 0.025kg ? a a= F = 5N m 0.025 kg 2 kg.m/s a = 200 N = 200 kg kg 2 a = 200 m/s Problem: Which unknown substance has a density of 2.27 3 g/cm ? Claim: Density = mass volume m D v Density = mass volume 4.54g D 3 2cm = 4.54 2 3 = 2.27 g/cm Scientific Explanation: B Substance 2 has density 3 of 2.27 g/cm . Carbon has a density of 3 2.27 g/cm . PCES Density = mass volume m D v Density = mass volume 14.7g D 2.2 = 14.7 2.2 = 6.7 g/cm3 3 cm The answer is J. Journal Entry – Case One Problem: How can we describe the direction of the train and its speed? Scientific Explanation: The train will move to the left with increasing speed. The force will be 3N to the left. Problem: Which student did not do any work on the container? W = F. d W F d Work = Force x distance Claim: W ? F 300 N d 0m Scientific Explanation: Helper Z did not do any work. W = F. d = 300 N x 0 m = 0 N.m = 0 J PCES Problem: Which example shows that work is being done? W = F. d W F d Work = Force x distance Claim: W ? F lifting the small box d 0.5 m Scientific Explanation: Force is applied in lifting the box, and the box moves a distance of 0.5 m from floor to table. Therefore, work is done. Case One What is the speed of a ball if it takes 0.6 s to cover a distance of 30 meters? d 30 m s t ? m/s 0.6 s speed = ? distance = 30 meters time = 0.6 seconds s = d t = 30 m = 50m = 50 m/s 0.6 s s Case Two 2 km in 30 minutes 4 km in 60 minutes. 4 km/hour Energy The ability to do work or to cause change Science STAAR Need to Know 206 Chemical Energy – Energy transformations Chemical energy – when light energy from the sun is converted to the energy in the bonds of the sugar molecules formed in photosynthesis. Science STAAR Need to Know 207 Chemical Energy Examples of chemical energy changing into heat energy: Lighting a match Burning a wood fire Science STAAR Need to Know 208 Science STAAR Need to Know 209 Electrical energyEnergy transformations Electrical energy- flow of electrons (a current) Other ways of generating electricity: •Water flowing through a dam in a river to move turbines •Wind generators that use the energy of moving wind & operate a generator •Nuclear power plants convert atomic energy into heat. Heat boils water to form steam & then follows the same energy transformations as coal 210 power plantsScience STAAR Need to Know Many energy transformations… Electrical to mechanical: Electricity used to spin the CD (Spinning CD has mechanical energy due to its position or motion) Electrical to sound: A laser converts the digital information on the CD into electrical energy and this energy goes to the headphones as a vibration- this transmits Sound! Chemical to electrical: Batteries store chemical compounds that react when they are used to power something. This produces a flow of electrons which is electricity!! Science STAAR Need to Know 211 Sound energyEnergy transformations Sound – consists of mechanical energy waves created by vibrations. Sound must travel through something (called “medium” or “media”) such as air, water, or a solid. The medium carries the energy of the wave from one place to another. Example: Air transmits the energy of the vibrating material in the headphones to your eardrums. A vacuum is a space that contains little or no matter. Sound can’t travel through a vacuum since there are no particles to squeeze together (compression) or spread apart (rarefaction) Science STAAR Need to Know 212 Light waves do not need a medium to transmit energy! They can even travel through empty space. Science STAAR Need to Know 213 A wave is a disturbance that transfers energy from one place to another. Water waves are a form of a wave that transmits mechanical energy across the surface of water. Science STAAR Need to Know 214 Seismic waves are caused by earthquakes that transmit mechanical energy through the Earth’s layers. Science STAAR Need to Know 215 Science STAAR Need to Know 216 Potential (PE) Science STAAR Need to Know 217 Kinetic Energy (KE) Energy due to motion of an object Did you know that the gas burned in a car engine is chemical energy being turned into Kinetic Energy? Rubber band flying through the air has kinetic energy Science STAAR Need to Know Speed & mass affect kinetic energy– Faster/heavier…mor e Kinetic Energy 218 Potential Energy Before the yo-yo begins its fall it has stored energy due to its position. At the top it has its maximum potential energy. As it starts to fall the potential energy begins to be changed into kinetic energy. At the bottom its potential energy has been converted into kinetic energy so that it now has its maximum kinetic energy A waterfall has both potential and kinetic energy. The water at the top of Bridal Veil Falls has stored potential energy. When the water begins to fall, its potential energy is changed into kinetic energy. This change in energy also happens at Niagara Falls where it is used to provide electricity from the transformation of mechanical and electromagnetic energy. Science STAAR Need to Know 219 Science STAAR Need to Know 220 Energy Transformations Potential energy A rock sitting at the top of a cliff Roller coaster car at the top peak of a hill A swimmer posed to dive off the end of a diving board NO MOTION !! Kinetic energy A bouncing ball A moving roller coaster A track star running A girl skiing MOTION is the key!!!! Science STAAR Need to Know 221 Science STAAR Need to Know 222 A book resting on a desk illustrates balanced forces. However, a book dropped from a desk illustrates unbalanced forces. In this case, gravity has overcome the balance of forces. Science STAAR Need to Know 223 GRAVITY Science STAAR Need to Know 224 You use force to move your body When you bend your arm, your muscles contract, which applies force to your arm bones. Your arm responds to this force by moving. During breathing, muscles contract (use force) to move air in and out of the lungs. The heart contracts (uses force) to pump blood through the blood vessels, carrying oxygen to the muscles. Science STAAR Need to Know 225 All living things use force to move Emerging seedlings exert force on the surrounding soil. This force pushes the stem of the plant out of the ground. Plants exert force to open flower petals, curl & uncurl leaves & push roots through the soil. Force is used to move materials in & out of cells. Science STAAR Need to Know Fish exert force to swim by pushing against the water.226 In order for a force to move something, it must be an unbalanced force. This means that a force is stronger in one direction than the forces in the opposite direction. Science STAAR Need to Know 227 Balanced & Unbalanced Forces Science STAAR Need to Know 228 Speed Science STAAR Need to Know 229 Velocity Science STAAR Need to Know 230 Data can be displayed & interpreted in many ways Science STAAR Need to Know 231 ACCELERATION Science STAAR Need to Know 232 Force & motion are related Science STAAR Need to Know 233 ST 1 NEWTON’S LAW OF MOTION Science STAAR Need to Know 234 ND 2 NEWTON’S LAW OF MOTION Science STAAR Need to Know 235 RD 3 NEWTON’S LAW OF MOTION Science STAAR Need to Know 236 Work Science STAAR Need to Know 237 Science STAAR Need to Know 238 A lever is a bar that rests on a support called a fulcrum which lifts or moves loads. Science STAAR Need to Know 239 Types of levers Science STAAR Need to Know 240 This pulley has 1 wheel, so it changes the direction of pull 1 time. The input force is the same as the weight using the pulley. A pulley is a simple machine that uses grooved wheels and a rope to raise, lower or move a load. When a rope passes over a wheel, it changes the direction of effort (pull) needed to move the load. Science STAAR Need to Know 241 Wedge A wedge is an object with at least one slanting side ending in a sharp edge, which cuts material apart. Science STAAR Need to Know 242 An inclined plane is a ramp used to reduce the effort needed to raise or lower an object over a vertical height. It is easier to climb stairs to get to a second floor than to climb straight up a rope. It is easier to walk up a long, gentle hill than to climb up a short, steep hill. Examples of inclined planes: Loading ramp; Stairs or wheelchair ramp Mountain road; Threaded screw. The ancient Egyptians used inclined planes, or ramps, to move huge blocks of stone to build the pyramids. Science STAAR Need to Know 243 A screw is an inclined plane wrapped around a pole Science STAAR Need to Know 244 Wheel & axle A wheel with a rod, called an axle, through its center lifts or moves loads. Science STAAR Need to Know 245