roller coaster Q:Someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter. WebSolution for (Figure 1) A roller-coaster car may be represented by a block of mass 50.0 kg. A roller coaster car with its passengers has a mass of 220 kg and it goes through a series of horizontal and vertical curves. What is the total mechanical energy of the roller coaster at point A? Direction of induced current: no induced curent , Q:All household circuits are wired in parallel. Find the direction and magnitude of the acceleration of the flea if its mass is6.00107kg6.00107kg. total positive charge Q = 0.122 nC uniformly, Q:A dipole with charges ? A 2.50-kg fireworks shell is fired straight up from a mortar and reaches a height of 110.0 m. (a) Neglecting air resistance (a poor assumption, but we will make it for this example), calculate the shells velocity when it leaves the mortar. The kinetic energy of the roller coaster is 2*10^5 J The formula to calculate kinetic energy is, E_k=1/2mv^2 Here, The mass of the roller coaster is, m= 1000 kg The speed of the roller coaster is, v= 20 ms^-1 Therefore, E_k=1/2*1000*20^2 =2*10^5 J It depends which roller coater because each roller coaster has a different weight. If the order of the barges of the preceding exercise is reversed so that the tugboat pulls the3.00103-kg3.00103-kgbarge with a force of20.0103N,20.0103N,what are the acceleration of the barges and the tension in the coupling cable? (d) How high has the elevator moved above its original starting point, and what is its final velocity? Energy is almost always the most efficient way to approach these problems as long as enough information is given. At the start of the problem, the roller-coaster is at the top of the hill at Point A. (a) Calculate the tension in each of the two ropes supporting the swing under these conditions. You can ask a new question or browse more Science questions. The Law Energy Conservation tells us that: $T=K+U$, with $T$ the Total Energy of the car (and riders). Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? This makes physical sensethe force required to stop the roller-coaster depends on its mass. Given: radius of circular motion = R = 18 m weight of passengers = w apparent weight of passengers = N = 50%w Asked: To maintain a constant speed, the force provided by a cars engine must equal the drag force plus the force of friction of the road (the rolling resistance). How much do the roller coaster carts weigh? roller (Velocity and Acceleration of a Tennis Ball). Increased frictional forces can cause further damage and pain. What type of movement could be caused by this force? (c) Does this acceleration seem large to you? The mass of the block on the table is 4.0 kg and the hanging mass is 1.0 kg. (b) What is the minimum coefficient of friction between her shoes and the cliff? 15.0 V Calculate for a car: (a) On dry concrete. ERROR: CREATE MATERIALIZED VIEW WITH DATA cannot be executed from a function. roller A car is moving at high speed along a highway when the driver makes an emergency braking. Considering only the #y# component of velocity of the car. There are no springs or other conservative forces beyond gravity present, so the only potential energy term at both locations is gravitational potential energy. What is the total mechanical energy of the roller coaster cart at point A? The pulley and all surfaces are frictionless. White light is capable, A:To answer (Remember that friction always acts in the direction opposite that of motion or attempted motion between surfaces in contact. A particle of mass 0.50 kg starts moves through a circular path in thexy-plane with a position given byr(t)=(4.0cos3t)i+(4.0sin3t)jr(t)=(4.0cos3t)i^+(4.0sin3t)j^whereris in meters andtis in seconds. Draw the side view of your roller coaster on graph paper. Would the direction of rotation reverse if water were forced up the drain? (d) Write an expression for the position as a function of time, fort>30.0s.t>30.0s. A small space probe is released from a spaceship. My kids went on a roller coaster type ride on the weekend. (Drag area is2.44m2)2.44m2)Assume all values are accurate to three significant digits. Find the magnitude and direction of the total force on the Achilles tendon. (c) What is the position of the space probe after 15.0 s, with initial position at the origin? Calculate the minimum forceFhe must exert to get the block moving. The car encounters a loop of radius R = 18.0 m at ground level, as shown. The contestant now pulls the block of ice with a rope over his shoulder at the same angle above the horizontal as shown below. 1=45.5 The ride's sign and station all have mythical Indian-style theming. A standard 4 (3 bench) or 6 (2 bench) car PTC train used to weigh 6 tons. But that was with out all the extra crap they introduced in the 90s (indi And what kind of steel coaster are you wanting? --------------------------------- roller #implies v_B^2=gh# As he got older, he decided to build and use a staircase instead. Suppose that the resistive force of the air on a skydiver can be approximated byf=bv2.f=bv2. (a) What force must each engine exert backward on the track to accelerate the train at a rate of5.00102m/s25.00102m/s2if the force of friction is7.50105N7.50105N, assuming the engines exert identical forces? Free shipping for many products! Now we give the car a nudge and it starts accelerating down the slope and starts acquiring Kinetic Energy $K$: $K=\frac{mv^2}{2}$, where $m$ is the mass of the car (and riders) and $v$ is the velocity of the car. Is it possible to rotate a window 90 degrees if it has the same length and width? Scanned Document - lmghs.org Is the total mechanical energy conserved in a system that's a simplifying approximation of an actual roller coaster? A crate of mass 100.0 kg rests on a rough surface inclined at an angle of37.037.0with the horizontal. (a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. average The result of the preceding problem may be useful, but be careful to consider the fact that the snow boarder is going uphill. ok so how much does a normal car weigh in comparison to a rollercoaster carriage? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Assume the child is not holding on and does not wear a seat belt. A roller-coaster car shown in Figure P7.82 is released from rest from a height h and then moves freely with negligible friction. Quantitative Plate separation d = 10 mm =10 10-3m of Vectors: The Force Table A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. One crazy one that I've seen posted is that Skyrush's trains weigh 13 tons! Estimate its terminal velocity. (c) At Point C. Here all the initial #PE# has got converted into #KE# of the car. a=2.8i^+5.7j^-8.1k^ A 35.0-kg dolphin decelerates from 12.0 to 7.50 m/s in 2.30 s to join another dolphin in play. What bank angle is required? (b) Find the tension in the rope. You can neglect air resistance in both parts. What is the coefficient of kinetic friction between the fridge and the surface of the incline? Assume the mass is 4 kg. Athletes such as swimmers and bicyclists wear body suits in competition. In the second part of this problem, you are asked to find stopping force given stopping distance. Race car drivers routinely cut corners, as shown below (Path 2). 6 Chapter Review Maximum velocity at the top of a roller coaster How far is the spring stretched? Energy is the same top and bottom, Ke at bottom, Pe at top (b) What is unreasonable about the result? The Conservation of Energy equation between Point A and Point B reduces to the kinematic equation v2 = v02 + 2a(x), although it takes some effort to prove that correctly given that velocity and displacement are vectors. What's New Originally the PTC cars (3 seater) weighed about 1500 to 1600 lbs. A roller coaster car starts from rest at the top of a track 30.0 m long and inclined at20.020.0to the horizontal. Has 90% of ice around Antarctica disappeared in less than a decade? During a moment of inattention, the mini-fridge slides down a 35 degree incline at constant speed when she applies a force of 25 N acting up and parallel to the incline. A basketball player jumps straight up for a ball. What other force acts and what is its direction if: (a) The car goes over the top at faster than this speed? For small objects (such as a bacterium) moving in a denser medium (such as water), the drag force is given by Stokes law. Formulate a list of pros and cons of such suits. [Hint: For (b) and (c), you will need to use(d/dt)(cost)=sint(d/dt)(cost)=sintand(d/dt)(sint)=cost.(d/dt)(sint)=cost. Find the tension in the string: (a) at the top of the circle, (b) at the bottom of the circle, and (c) at a distance of 12.5 cm from the center of the circle(r=12.5cm).(r=12.5cm). (b) How long does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust? (b) How far does he travel? Speed & Stopping Distance of a Roller-Coaster, no friction or air resistance between Points A and C. Can this problem be worked using kinematics and dynamics? (a) When rebuilding his cars engine, a physics major must exert3.001023.00102N of force to insert a dry steel piston into a steel cylinder. Roller Coaster In a roller coaster, does the rear car have a higher acceleration/speed? Assume Tarzan has a mass of 80.0 kg. What is it? (b) What is the tension in the string? Is it suspicious or odd to stand by the gate of a GA airport watching the planes? with the track. An 850 kg roller-coaster is released from rest at Point A of the track shown in the figure. If L=6 H, determine R. Submit A roller coaster car is Take D = 50.0 m, F = 110 N, L = 40.0 m, and = 50.0. The car is released from rest at a height h = 54.0 m above the ground and slides along a frictionless track. A banked highway is designed for traffic moving at 90.0 km/h. What is the coefficient of kinetic friction between the child and the surface of the incline? The coefficient of static friction between the tires and the wall is 0.68. (d) Calculate the centripetal force on the particle. Rotating and accelerated frames of reference are noninertial. Car can go only up to initial height #h#, 59739 views In the figure, the coefficient of kinetic friction between the surface and the blocks isk.k. Before Collision Its position at any time is given byx(t)=pt3+qt2x(t)=pt3+qt2wherepandqare constants. Each cart rolls freely with negligible friction. What is the work done by ? The coefficient of static friction between the box and the surface on which it rests is 0.24. As a young man, Tarzan climbed up a vine to reach his tree house. In this instance, the acceleration is known. Each car on The Beast weighs 2,300 pounds with the weight of a full train (without riders) 13,800 pounds. Simple friction is proportional to the normal force. Most roller-coasters dont care about too tall, To simulate the apparent weightlessness of space orbit, astronauts are trained in the hold of a cargo aircraft that is accelerating downward atg. Why do they appear to be weightless, as measured by standing on a bathroom scale, in this accelerated frame of reference? Part B A freight train consists of two8.00105-kg8.00105-kgengines and 45 cars with average masses of5.50105kg.5.50105kg. Drag forces acting on an object moving in a fluid oppose the motion. WebQuestion: In the figure, a frictionless roller coaster car of mass m=661 kg tops the first hill with speed vo= 10.3 m/s at height h = 40.8 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) point B, and (c) point C? Is a collection of years plural or singular? Q:Which model shows how light waves react with a red jacket? 3. a) How fast is the roller coaster moving at point B? We say that the car at that point has a Potential Energy $U$ according to: $U=mgh_1$, where $g=9.81\:\mathrm{ms^{-2}}$ the Earth's acceleration constant, $m$ is the mass of the car (and riders) and $h_1$ that height above the reference line. (a) On dry concrete. (Hint:since the distance traveled is of interest rather than the time,xis the desired independent variable and nott. Use the Chain Rule to change the variable:dvdt=dvdxdxdt=vdvdx.)dvdt=dvdxdxdt=vdvdx.). 6. Find answers to questions asked by students like you. We are given complete information about the energy of the roller-coaster at Point A and are asked about the force required to stop it by Point D. Therefore, the second question can be answered by comparing A and D. Because the energy in the roller-coaster is the same from A to C, it is equally fine to compare B to D or C to D (if you solve for vC first.). The ride's queue line is surrounded by bamboo, which adds to the jungle theming. Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with person-eating crocodiles to save Tarzan from danger. During decay current reaches the 37% of maximum current., Q:Some fish have a density slightly less than that of water and must exert a force , by swimming , to, A:The concept behind this problem is buoyancy, which is the upward force that a fluid exerts on an, Q:10:21 AM Thu Mar 2 > just a thought > Originally the PTC cars (3 seater) weighed about 1500 to 1600 lbs. WebA roller-coaster car shown in the figure below is pulled up to point 1 where it is released from rest. (a) What is the coefficient of static friction? (a) Assuming the frictional force on the diamond obeysf=bv,f=bv,what isb? Some problems contain several physical quantities, such as forces, acceleration, velocity, or position. As it is released, its velocity is 4.4 m/s. Physics 1 Answer A08 Jan 19, 2016 (a) At point A = 18m/s (b) At point B 26.94m/s The roller-coaster track includes a circular loop of radius R in a vertical plane. Stokes law describes sedimentation of particles in liquids and can be used to measure viscosity. How do you calculate the ideal gas law constant? Define centripetal force. (a) Show that(as defined as shown) is related to the speedvand radius of curvaturerof the turn in the same way as for an ideally banked roadwaythat is,=tan1(v2/rg).=tan1(v2/rg). Together, they have mass 200.0 kg. WebStart Vo = 0 h = 20 m (B) (C h =-5 m d 30m d = 40m. Using Stokes law, verify that the units for viscosity are kilograms per meter per second. You will first need to note that the drag force is equal to the weight at terminal velocity. What is the total kinetic energy of the spring? _________m/s Homework Equations Sum of forces in the radial direction = -m (v^2)/R The Attempt at a The terminal velocity of a person falling in air depends upon the weight and the area of the person facing the fluid. Arrow cars (2 seaters) weighed around 1600 lbs each and Arrow (3 seaters) around 1700 lbs. at the top of the hill, the passengers "feel light," with an apparent weight only 50% of their true weight. A motor hauls the cars to the top of a high hill and from that point on gravity is doing all the work. (b) What is its acceleration once it starts to move, if that force is maintained? b) How hard does it press against the track at point B. The normal force on an object is not always equal in magnitude to the weight of the object. The barrel is spun up and the floor drops away. AL The wheels become locked (stop rolling), and the resulting skid marks are 32.0 meters long. N B) 12.5 N C) 25.0 N D) 50.0 N The acceleration due to gravity on the surtacc of planet X is 19.6 meters per second2 If an object on the surface of this planet weighs 980. newtons, the mass of the object is A) 100. kg B) 50.0 kg C) 490. Assume that friction can be ignored. Physics of a Roller Coaster | Meaghan Bilyeu E-Portfolio It has a, Q:[905] The plot represents distance(m) vs time(s) graph for a moving object: How do I determine the molecular shape of a molecule? I was using the, A:for t = 4 sec Answer the same question for a body sliding down a curved surface. The roller coaster cart has a mass of 500 kg, and the spring launcher has a spring constant of 1500 N/m. The average length of a roller coaster ride is 112 seconds with a known population standard deviation of 50.5 seconds. Kingda Ka is themed as a mythical tiger and is named after the 500 lb. Physics. Find the net force on this object for any timet. A helicopter with mass2.35104kg2.35104kghas a position given byr(t)=(0.020t3)i+(2.2t)j(0.060t2)k.r(t)=(0.020t3)i^+(2.2t)j^(0.060t2)k^. A 560-g squirrel with a surface area of930cm2930cm2falls from a 5.0-m tree to the ground. (c) What does the scale read if the elevator moves upward at constant velocity? A roller coaster For safety, the cars are attached to the rails in such a way that they cannot fall off. (c) Solve both problems assuming the truck has four-wheel drive. (c) Find the centripetal force vector as a function of time. (b) Calculate the force in the coupling between the dogs and the sled. If centripetal force is directed toward the center, why do you feel that you are thrown away from the center as a car goes around a curve? Also use g = 10 m/s2. Webyour cart at the top of your coaster. Explain this in terms of the relationship between static and kinetic friction. (a) Find its initial acceleration if it takes off vertically. (b) The gun itself is a tube 0.450 m long. Can any combination of forces be a centripetal force? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (b) What does the scale read if the elevator moves upward while slowing down at a rate3.8m/s23.8m/s2? There is however one complication: my ideal scenario doesn't account for any energy losses due to friction between car and track or air drag losses. Angle of inclination for M1 is A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table by a constant applied force of magnitude F = 16.0 N directed at ail angle = 25 below the horizontal as shown in Figure P7.5. You can ask a new question or browse more Physics questions. (b) During strenuous exercise, it is possible to exert forces to the joints that are easily 10 times greater than the weight being supported. WebA roller-coaster car (Fig. WF = Fd cos. Two blocks are connected by a massless rope as shown below. 8 Potential Energy and Conservation of Energy, Thermal Expansion in Two and Three Dimensions, Vapor Pressure, Partial Pressure, and Daltons Law, Heat Capacity of an Ideal Monatomic Gas at Constant Volume, Chapter 3 The First Law of Thermodynamics, Quasi-static and Non-quasi-static Processes, Chapter 4 The Second Law of Thermodynamics, Creative Commons Attribution 4.0 International License, [latex]{f}_{\text{s}}\le {\mu }_{\text{s}}N[/latex], [latex]{F}_{\text{c}}=m\frac{{v}^{2}}{r}\enspace\text{or}\enspace{F}_{\text{c}}=mr{\omega }^{2}[/latex], [latex]\text{tan}\,\theta =\frac{{v}^{2}}{rg}[/latex], [latex]{F}_{D}=\frac{1}{2}C\rho A{v}^{2}[/latex], [latex]{F}_{\text{s}}=6\pi r\eta v[/latex]. 20 A roller coaster car is going over the top of a 18-m-radius circular rise. WebThings You Should Know About Roller Coasters Vertical Drops: Roller coasters almost always begin with an initial vertical drop. and ? = , A:Here maximum current is Imax=9.5A > just a thought What is the percentage increase in the perceived weight of the passengers? (a) What is the maximum frictional force in the knee joint of a person who supports 66.0 kg of her mass on that knee? (a) If the force is 33 N, what is the horizontal acceleration of the sled? That's almost like asking which woman weighs more, and leaving the question at that. We can determine the, Q:o, what formula do you apply to get 16 m ? Use of this site is governed by our Terms Of Service and Privacy Policy. If there is no significant non-conservative force (as is the case in the first question) then all three versions of the equation are equivalent. Roller Coasters Including Wnc in some form is more general and gives an equation that is true in all situations, including those with non-conservative forces such as the second question in this problem. Initial #PE=mgh=PE(x)+KE(x)#. A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under construction, down to ground level, accelerating downward at a rate of1.2m/s21.2m/s2. h A. The engine provides a constant thrust of 120.0 N. (a) Write an expression for the mass of the space probe as a function of time, between 0 and 30 seconds, assuming that the engine ignites fuel beginning att=0.t=0. A:If an observer observe an object, it is due to observer received some light from the object. 1 of 1 Find the change, Q:A 800 lb horse pulls a 200 lb cart with (a) What is the acceleration of the car? Distance (cm) (Note that this acceleration is independent of mass.). Given is friction-less roller coaster. At the start of the ride, when $v=0$, the Total Energy $T$ was: $T = mgh_1$ and when the car reaches the lowest point $h_3$, then: Note something important here: the expression for $v$ does not contain the mass $m$ of the car (and riders). Pe = m g h = 80 * 10 * 30 Joules Calculate the maximum acceleration of a car that is heading down a6.006.00slope (one that makes an angle of6.006.00with the horizontal) under the following road conditions. Watch the mass inside the tube carefully, (1 kg = 2.2 lbs.) The region and polygon don't match. #half of initial #PE # has got converted into #KE # of the car Calculate the average acceleration of the potato in the tube as it goes from zero to the velocity found in (a). (c) Determined2r/dt2d2r/dt2and show thatais given byac=r2.ac=r2. A small diamond of mass 10.0 g drops from a swimmers earring and falls through the water, reaching a terminal velocity of 2.0 m/s. The weight of roller coaster carts varies greatly with the roller coaster style. > just a thought The height of the car at point 725 is the minimum height that is necessary for the car to stay on the loop. WebA 515-kg (empty weight), single cart roller coaster carrying 4 passengers (average mass of 64 kg per person) is towed to the top of a hill. A plumb bob hangs from the roof of a railroad car. It The force constant of the spring is 450 N/m. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. A student is attempting to move a 30-kg mini-fridge into her dorm room. Not sure if there really is a "typical" weight. What is (a) the acceleration of each block and (b) the tension in the string? > coaster carriage weighs? You may use the result of the previous problem. Therefore, as the cart approaches the bottom of the hill where its gravitational potential energy is converted into How much do roller coaster cars usually weigh? [Other] - Theme Modern roller coasters have vertical loops like the one shown here. Indicate the direction of the acceleration on each diagram. point a= 30m point b= 0m point c= 25m point d= 12m 1. A limit involving the quotient of two sums, Short story taking place on a toroidal planet or moon involving flying. Where must an object be placed in order, Q:A parallel-plate air capacitor with a capacitance of One can measure the time it takes for a particle to fall a certain distance and then use Stokes law to calculate the viscosity of the liquid. You can solve for the motion between Point C and D through a combination of kinematics and dynamics. Many cars are roughly a ton. Both wood and steal. WebFind many great new & used options and get the best deals for LEGO FRIENDS: Amusement Park Roller Coaster (41130) Complete Boxed Retired! Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. 0, Q:Each of the six real batteries in the figure has an emf of 18.6 V and a resistance of 3.89 02. In this problem, you are first asked to find a speed of a roller-coaster when you are given information about how its height changes. Again, a reasonable value. What is the weight of the space probe on that planet? :). One depended upon the speed, while the other was proportional to the square of the speed. Find the acceleration of the block. Find the tension in each of the three cables supporting the traffic light if it weighs 2.00 102N. Three forces act on an object, considered to be a particle, which moves with constant velocityv=(3i2j)m/s.v=(3i^2j^)m/s. (a) If half of the weight of a small1.00103-kg1.00103-kgutility truck is supported by its two drive wheels, what is the maximum acceleration it can achieve on dry concrete? the end. Friction is negligible. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) At what anglebelow the horizontal will the cage hang when the centripetal acceleration is 10g? It is at rest and in equilibrium. For trains of what speed are these tracks designed? The values for Point D can be put into the equation directly from your picture. What is the direction of the force exerted on you by the car seat? If the cart starts at a height h1 = 10m, how much must the. A physics major is cooking breakfast when she notices that the frictional force between her steel spatula and Teflon frying pan is only 0.200 N. Knowing the coefficient of kinetic friction between the two materials, she quickly calculates the normal force. (b) Find the velocity of the box as it reaches the end of the plane, if the length of the plane is 2 m and the box starts at rest. Railroad tracks follow a circular curve of radius 500.0 m and are banked at an angle of5.05.0. Wnc is any work done by non-conservative forces, such as friction or a push, which take energy in or out of the system of interest. WebMany roller coasters have a vertical loop, 20 m high. at the best online prices at eBay! It starts from rest in deep space, from the origin of a coordinate system based on the spaceship, and burns fuel at the rate of 3.00 kg/s. kg If you wish to reduce the stress (which is related to centripetal force) on high-speed tires, would you use large- or small-diameter tires? Intamin (older) cars were quite heavy around 2800 each and (newer) around 2500 each. Experts are tested by Chegg as specialists in their subject area. 10 Magnitude of Vem i = (1/2) m v^2 = m g (45-5) The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg. Any time you understand the motion of an object by looking at its energy, you begin with the Conservation of Energy equation. An external force is applied to the top block at an anglewith the horizontal. Speed & Stopping Distance of a Roller-Coaster - Physics I have to draw a short roller coaster on graph paper Directions: 1. Calculate the stopping distance if the coefficient of kinetic friction of the tires is 0.500. (b) How far does the diamond fall before it reaches 90 percent of its terminal speed? (Note that this is a small effect and in most toilets the rotation is caused by directional water jets.) (b) If you continue to exert this force once the crate starts to slip, what will its acceleration then be? It depends which roller coater because each roller coaster has a different weight. WebRoller coaster trains have wheels that run on the sides (side friction or guide wheels) and underneath the track (upstop, underfriction, or underlocking wheels) as well as on top of it (road or running wheels); these lock the train to the tracks and prevent it from jumping the track.The side wheels can be mounted on the outside or inside of the train, depending on How much do the roller coaster carts weigh? The tallest lift hills on coasters today use arch shape support strategies to minimize the amount of structure needed. N D) 908 N 2.2 Coordinate Systems and Components of a Vector, 3.1 Position, Displacement, and Average Velocity, 3.3 Average and Instantaneous Acceleration, 3.6 Finding Velocity and Displacement from Acceleration, 4.5 Relative Motion in One and Two Dimensions, 8.2 Conservative and Non-Conservative Forces, 8.4 Potential Energy Diagrams and Stability, 10.2 Rotation with Constant Angular Acceleration, 10.3 Relating Angular and Translational Quantities, 10.4 Moment of Inertia and Rotational Kinetic Energy, 10.8 Work and Power for Rotational Motion, 13.1 Newtons Law of Universal Gravitation, 13.3 Gravitational Potential Energy and Total Energy, 15.3 Comparing Simple Harmonic Motion and Circular Motion, 17.4 Normal Modes of a Standing Sound Wave, 1.4 Heat Transfer, Specific Heat, and Calorimetry, 2.3 Heat Capacity and Equipartition of Energy, 4.1 Reversible and Irreversible Processes, 4.4 Statements of the Second Law of Thermodynamics.
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