average weight of a roller coaster cart in kg average weight of a roller coaster cart in kg

A. A 15-kg sled is pulled across a horizontal, snow-covered surface by a force applied to a rope at 30 degrees with the horizontal. Figure P5.22 (page 149) shows an actual design. Include a free-body diagram in your solution. What is the maximum force of friction under such conditions? characteristics Yes, but why would you want to? Because there is no friction over this portion of the track, the only energy conversion that takes place is between kinetic energy and gravitational potential energy. each. The space probe has mass 20.0 kg and contains 90.0 kg of fuel. :). Friction is negligible. Is a PhD visitor considered as a visiting scholar? Assuming no initial rotation and a flow initially directly straight toward the drain, explain what causes the rotation and which direction it has in the Northern Hemisphere. WebThe current coasters have these weight limits based on the manufacturer requirements: SFA: Batwing256 pounds Since only one coaster has an official weight limit, then this does not mean that those with very a large weight can ride. Considering only the #y# component of velocity of the car. WebA child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. An object (A) of mass m = 28.5 kg is moving in a direction that makes angle of 62 north of west, Q:Self-Paced Problem 1: 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 0.500-kg potato is fired at an angle of80.080.0above the horizontal from a PVC pipe used as a potato gun and reaches a height of 110.0 m. (a) Neglecting air resistance, calculate the potatos velocity when it leaves the gun. Thanks for contributing an answer to Physics Stack Exchange! A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown below. (c) Which premises are unreasonable or inconsistent? There would be a normal force pointing up and mg pointing down. The car is released from rest at a height h = 54.0 m above the For a better experience, please enable JavaScript in your browser before proceeding. (a) Find the velocity and acceleration vectors as functions of time. a. A 2.00 kg block (mass 1) and a 4.00 kg block (mass 2) are connected by a light string as shown; the inclination of the ramp is40.040.0. On average, these carts can weight between 600 and about 1000 pounds each. given no change in kinetic energyKE=0 In the figure, a frictionless roller coaster car of mass m = 805 kg tops the first hill with speed vi = 18 m/s at height h = 41 m. What is the speed of the car at (a) point A, (b) point B, and (c) point C? For trains of what speed are these tracks designed? Making statements based on opinion; back them up with references or personal experience. This means that as the car accelerates down the slope, $U$ is being converted to $K$. at the best online prices at eBay! KE A + PE A = KE D + PE D - W nc 0 + mgh A = 0 + mgh D - W nc (850 kg)(9.8 m/s 2)(140 m) = (850 kg)(9.8 m/s Increased frictional forces can cause further damage and pain. WebFind many great new & used options and get the best deals for LEGO FRIENDS: Amusement Park Roller Coaster (41130) Complete Boxed Retired! An observer on the ground concludes that the forces on the cart are the force of gravity and the support from the track. At what angle relative to the vertical does the plumb bob hang? Show that the maximum angle of an incline above the horizontal for which an object will not slide down is=tan1s.=tan1s. Experts are tested by Chegg as specialists in their subject area. The result of the preceding problem may be useful, but be careful to consider the fact that the snow boarder is going uphill. (c) Find the speed with which the hanging mass hits the floor if it starts from rest and is initially located 1.0 m from the floor. In this case, the non-conservative force is the stopping force. Yup, though they are admitedly a rare breed. a lot. A flea jumps by exerting a force of1.20105N1.20105Nstraight down on the ground. (c) What is the average force on the potato in the gun? Learn more about Stack Overflow the company, and our products. (See picture below) What is the maximum speed the vehicle can have at point B and still remain on the track? (b) What force would he have to exert if the steel parts were oiled? (a) Find the acceleration of the box. A 1000 kg roller coaster begins on a 10 m tall hill with an initial velocity of 6m/s and travels down before traveling up a second hill. If the cart starts at a height h1 = 10m, how much must the. 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? For that reason I'm very surprised that a roller coaster operator would specify any loads, instead of relying on a fail safe design. >. WebStart Vo = 0 h = 20 m (B) (C h =-5 m d 30m d = 40m. Starting from rest, a skier, m = 75 kg, (c) On ice, assuming thats=0.100s=0.100, the same as for shoes on ice. Find the change, Q:A 800 lb horse pulls a 200 lb cart with It takes 12 s to fall a distance of 0.60 m. Calculate the viscosity of the oil. Calculate the acceleration of the carts and the tension in the cord. Figure Still others may write it as KE1 + PE1 + Eadded to the system = KE2 + PE2 + Eleaving the system. (a), A:Note: Since you have posted a question with multiple sub-parts, we will solve the first three, Q:How is white light different from the rest of the electromagnetic spectrum? Also, assume negligible force exerted by her arms. The glue on a piece of tape can exert forces. (b) At point B #approx 26.94 m//s# T 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 Formulate a list of pros and cons of such suits. Explain in an inertial frame of reference (Earth is nearly one) what pins the riders to the wall, and identify all forces acting on them. An Arrow looping train? (Velocity and Acceleration of a Tennis Ball). The lunch box leaves a trail in the dust on the merry-go-round. The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg. Calculate the minimum forceFhe must exert to get the block moving. That's almost like asking which woman weighs more, and leaving the question at that. The contestant now pulls the block of ice with a rope over his shoulder at the same angle above the horizontal as shown below. When a toilet is flushed or a sink is drained, the water (and other material) begins to rotate about the drain on the way down. A roller coaster car with its passengers has a mass of 220 kg and it goes through a series of horizontal and vertical curves. car with 30 N to the West., A:As forces are in opposite direction : And what kind of steel coaster are you wanting? and others use U. WebA child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Human nerve cells have a net negative charge and the material How do you find density in the ideal gas law. direction. The Coney Cyclone is one example though: (c) What is her acceleration assuming she is already moving in the direction ofFtot?Ftot? Answer the same question for a body sliding down a curved surface. As a skater forms a circle, what force is responsible for making his turn? Q:12-196: The motor at C pulls in the cable with an acceleration ac = (3t2) m/s2, where t is in, Q:IONIZING RADIATION (characteristics) (b) What is its acceleration once it starts to move, if that force is maintained? J the end. (a) What is the force of the car seat on the child at point A? (c) If it actually starts 5.00 m higher than your answer to (b), how much energy did it lose to friction? 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^. (c) With a slightly greater applied force, the block will slide up the plane. A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. Show that the normal force on the car at the bottom of the loop exceeds the normal force at the top of the loop by six times the cars weight. (b) If the block were to reach the top of the track, what would be its speed at that point? Continue to Step 2 to solve for the stopping force required to bring the roller coaster to rest at Point D. An average force of 4200 N is required to stop the roller-coaster by Point D when the brakes are applied at Point C. No further mathematical solution is required for this problem. It depends which roller coater because each roller coaster has a different weight. The force constant of the spring is 450 N/m. A machine at a post office sends packages out a chute and down a ramp to be loaded into delivery vehicles. (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). The radius of the loop is 20 m. What is the height of the car at point A? Explain your answer. Mass of the first block is A roller coaster cart of mass 300 kg including passengers is moving We can determine the, Q:o, what formula do you apply to get 16 m ? Calculate the velocity a spherical rain drop would achieve falling from 5.00 km (a) in the absence of air drag (b) with air drag. What is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit? (Figure 1)A roller-coaster car may be represented by a block of mass 50.0 kg . For larger objects (such as a baseball) moving at a velocity in air, the drag force is determined using the drag coefficient (typical values are given in. There are no springs or other conservative forces beyond gravity present, so the only potential energy term at both locations is gravitational potential energy. One crazy one that I've seen posted is that Skyrush's trains weigh 13 tons! Venus takes, Q:A particular gasoline tank can hold 48.5 kg of gasoline when full. The weight of roller coaster Example 3: In this rollercoaster question, the track is older, so the 15 kg cart experiences an average frictional force of 50 N while on the track. This is an inertial force sensed and used by the riders to explain events in the rotating frame of reference of the barrel. a force of 50 lbf. for Part A for Part A undo for Part A redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A 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? wat about for steel coasters? http://www.rcdb.com/ig222.htm?picture=6, > ok so how much does a normal car weigh in comparison to a (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. Seriously, I would not trust rides like that. Calculate the average acceleration of the shell in the tube as it goes from zero to the velocity found in (a). (a) What are the drag forces at 70 km/h and 100 km/h for a Toyota Camry? Figure < 1 of 1 Part A Find the kinetic energy K of the car at the top of the loop. Describe the path of the car as it leaves the road. (c) Find the centripetal force vector as a function of time. 15.0 V Again, energy is the most direct way to understand this problem. The problem is about Conservation of Energy, between Potential Energy and Kinetic energy changes. It's going to vary from coaster to coaster, and car to car. #half of initial #PE # has got converted into #KE # of the car Can airtags be tracked from an iMac desktop, with no iPhone? An airplane flying at 200.0 m/s makes a turn that takes 4.0 min. Site Map Calculate the tension in the two ropes if the person is momentarily motionless. What is the force on the electron? Find the required height h of the release point above the bottom of the loop in terms of R. (b) Now assume the release point is at or above the minimum required height. Take care. (c) Which premise is unreasonable, or which premises are inconsistent? In that case. What maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 3.0 s without having the box slide? The tallest lift hill in the world is Carowinds Fury 325 at 325 feet tall (99.06 meters). (b) Calculate the magnitude ofF.F. Find the acceleration of the block. WF = Fd cos. Therefore, we are able to approach this question by tracking the energy. (b) How far does he travel? Topological invariance of rational Pontrjagin classes for non-compact spaces, Bulk update symbol size units from mm to map units in rule-based symbology. (c) The elevator decelerates at a rate of0.600m/s20.600m/s2for 3.00 s. What is the tension in the cable during deceleration? In this problem, you are first asked to find how fast a roller-coaster moves at a given point on the track. Arrow cars (2 seaters) weighed around 1600 lbs each and Arrow (3 seaters) around 1700 lbs. d M Flow rate Q=550 kg/h =0.153kg/s Second question has no real answer unless we assume that the potential energy is zero at the ground level. A roller coaster whose average speed is 32 ms is at the top of a 72m hill and weighs 966N. Inspection reveals that #y# component of velocity is created due to change of #PE=mgh#, in to #KE=1/2 m v^2#. What causes water to be removed from clothes in a spin-dryer? The coefficient of kinetic friction between the blocks and the surface is 0.25. (d) How high will the car go on the last hill ? Find the value of the minimum speed for the cyclist to perform the stunt. 6. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Make some assumption on their frontal areas and calculate their terminal velocities. A basketball player jumps straight up for a ball. As shown below, ifF=60.0NF=60.0NandM=4.00kg,M=4.00kg,what is the magnitude of the acceleration of the suspended object? (a) Calculate the minimum coefficient of friction needed for a car to negotiate an unbanked 50.0 m radius curve at 30.0 m/s. In this case, the changing position of the roller-coaster reflected a change in the energy of the system, we are not asked to find time, and there are no significant unknown energy losses from the system. Calculate the average acceleration of the potato in the tube as it goes from zero to the velocity found in (a). This makes physical sensestopping force takes energy out of the system and so (b) Show that the acceleration vector always points toward the center of the circle (and thus represents centripetal acceleration). Rolling friction for trains is small, and consequently, trains are very energy-efficient transportation systems. 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. (Hint:The arm supplies centripetal force and supports the weight of the cage. A car rounds a curve and encounters a patch of ice with a very low coefficient of kinetic fiction. Do new devs get fired if they can't solve a certain bug? B. Assume a coefficient of friction of 1.0. c=1.8i^+2.8j^+4.6k^ Free shipping for many products! (Ignore rolling.) Watch the mass inside the tube carefully, (1 kg = 2.2 lbs.) (c) What is the position of the space probe after 15.0 s, with initial position at the origin? WebA roller-coaster car (Fig. 1 of 1 > coaster carriage weighs? that If we ASSUME U = 0 at Dont I need to know the angles the hills make with the horizontal. Charge(q)=5 uC In this case, you start out with stored gravitational potential energy and convert part of that energy to kinetic energy. Some books teach you to always think about this term, others only add it if it isnt zero. Two expressions were used for the drag force experienced by a moving object in a liquid. If the cart starts at a height h1 = 10m, how much must the, At the top of its drop hill, a 1,000 kg roller coaster has 200,000 J of total energy. At Point B, part of the gravitational potential energy of the roller-coaster has been converted to kinetic energy, and the roller-coaster has a speed of 30 m/s. Consider the 52.0-kg mountain climber shown below. If the terminal velocity of a 50.0-kg skydiver is 60.0 m/s, what is the value ofb? Express your answer in newtons and as a ratio to the weight of the shell. As he got older, he decided to build and use a staircase instead. The value of 30 m/s is reasonable for motion of a roller-coaster. To be stable, the force exerted by the ground must be on a line going through the center of gravity. initial velocity of car = V0 = 0 m/s Your question is solved by a Subject Matter Expert. If the car is moving at 25 m/s what is the smallest horizontal curve it can go around and not exceed a 4.5g limit on acceleration (g = 9.8 m/s?? WebMost roller coasters work by lifting the train of cars up a tall hill using a metal cog or chain mechanism which isnt very fast. The values for Point A can be put into the equation directly from your picture. 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. Use of this site is governed by our Terms Of Service and Privacy Policy. WebFind many great new & used options and get the best deals for LEGO FRIENDS: Amusement Park Roller Coaster (41130) Complete Boxed Retired! >. (a) On dry concrete. Explain. 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. View Available Hint(s) You are using an out of date browser. Magnitude of Vem i = As you will learn in the course of this problem, the initial height 54.0 m is great enough so that the car never loses contact with the track. Neglecting frictional losses, what is the expected speed of the coaster as it passes over the top of the A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x (Fig. 30 The car slides off the road. The initial speed of the crate is the same as the truck, 100 km/h. Using concepts related to centripetal force and Newtons third law, explain what force stretches the string, identifying its physical origin. Some problems contain multiple force vectors acting in different directions on an object. What average force is required to bring the roller-coaster to a stop at Point D if the brakes are applied at Point C? A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance,FDFD, is given by the formulaFD=bv,FD=bv,wherebis a constant andvis the velocity. > philadelphia tobbogan train cars weigh on average 800#'S FOR WOODEN COASTERS, > Hi, does anyone have any idea how much the average roller > coaster carriage weighs? total positive charge Q = 0.122 nC uniformly, Q:A dipole with charges ? Find the magnitude of the force the garbage exerts on the floor of the service elevator? 19962023 Ultimate Rollercoaster, LLC. (I did high school physics decades ago - can't remember much of it now.). It only takes a minute to sign up. arrow_forward Literature guides Concept explainers Writing guide Popular textbooks Popular high school textbooks Popular Q&A Business Accounting Economics Finance Leadership Management Marketing Operations Management Engineering Bioengineering Chemical Engineering Civil Engineering (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. Find the positionr(t)r(t)and velocityv(t)v(t)as functions of timet. A 2.0-kg object has a velocity of4.0im/s4.0i^m/satt=0.t=0. Shown below is a 10.0-kg block being pushed by a horizontal forceFFof magnitude 200.0 N. The coefficient of kinetic friction between the two surfaces is 0.50. A time dependent force ofF(t)F(t)is applied at timet=0t=0, and its components areFx(t)=p+ntFx(t)=p+ntandFy(t)=qtFy(t)=qtwherep,q, andnare constants. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. In other words. What is it? The magnitude of the force on a particle increases as the cube of the distance from that point; that is Fr3 , if the distance from P to the position of the particle is r. Let b be the proportionality constant, and write the magnitude of the force as F=br3. > just a thought As shown below, the mass of block 1 ism1=4.0kg,m1=4.0kg,while the mass of block 2 ism2=8.0kg.m2=8.0kg. Express your answer numerically, in meters. Can any type of force (for example, tension, gravitational force, friction, and so on) be a centripetal force? (a) What is the coefficient of static friction? You may use the result of the previous problem. (b) What is the force on the protons? How much does an average roller coaster cart weigh? The coefficient of kinetic friction between the box and plane is 0.0300. Greater than 10 pounds While the transfer of energy between two machine par, In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the d. In a roller coaster, does the rear car have a higher acceleration/speed? If L=6 H, determine R. 250 pF has a charge of magnitude 0.146 C on, Q:d) What is the magnitude and direction of Vem i? If the coefficient of friction between the box and the belt is 0.27, how long will it take before the box moves without slipping? The frictional forces in joints are relatively small in all circumstances except when the joints deteriorate, such as from injury or arthritis. In its present state, the crate is just ready to slip and start to move down the plane. _________m/s Homework Equations Sum of forces in the radial direction = -m (v^2)/R The Attempt at a It sits at the top of a hill with height 85 m. If it drops from this hill, how fast is it going when it reaches the bottom? A half-full recycling bin has mass 3.0 kg and is pushed up a40.040.0incline with constant speed under the action of a 26-N force acting up and parallel to the incline. --------------------------------- Draw the side view of your roller coaster on graph paper. If the particle is fired vertically with velocityv0v0from Earths surface, determine its velocity as a function of positionr. (Hint:useadr=vdv,adr=vdv,the rearrangement mentioned in the text. , A:Here maximum current is Imax=9.5A (c) Does the block actually reach the top of the track, or does it fall off before reaching the top? To learn more, see our tips on writing great answers. Many amusement parks have rides that make vertical loops like the one shown below. The two barges shown here are coupled by a cable of negligible mass. Connect and share knowledge within a single location that is structured and easy to search. (a) At what angular velocity is the centripetal acceleration 10gif the rider is 15.0 m from the center of rotation? By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. A large rocket has a mass of2.00106kg2.00106kgat takeoff, and its engines produce a thrust of3.50107N.3.50107N. A nonrotating frame of reference placed at the center of the Sun is very nearly an inertial one. and, Where must an object be placed in order, Q:A parallel-plate air capacitor with a capacitance of Pe = m g h = 80 * 10 * 30 Joules (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? Draw the free body diagrams for the car going around a horizontal curve, the bottom of a vertical loop, and the top of a vertical loop in which the cart is upside down. The cars have become heavier over the past 20 years v^2 = 2 (9.81)(40) As the drawing shows, an, A:Given A 20.0-g ball hangs from the roof of a freight car by a string. -The radius of the circle is 15m. You can neglect air resistance in both parts. Some problems contain several physical quantities, such as forces, acceleration, velocity, or position. then at 5 meters up Do you mean a Corolla or an SUV? How would one calculate the lateral seat force experienced by a roller coaster rider if the turn were banked less than ideal? (a) What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50g? The coefficient of static friction between the box and the surface on which it rests is 0.24. Given data- (c) Compare each force with his weight. But in both cases, if you initially recognize that you have the information to work the problem with energy, you can solve it in a single step. Always analyze the direction in which an object accelerates so that you can determine whether. Webto the floor of the roller coaster at all times, allowing the mass to move up and down in the tube freely.) (c) Determined2r/dt2d2r/dt2and show thatais given byac=r2.ac=r2. Is it possible to rotate a window 90 degrees if it has the same length and width? Only two significant figures were given in the text of the problem, so only two significant figures are included in the solution. A double-incline plane is shown below. Free shipping for many products! As shown below, the coefficient of kinetic friction between the surface and the larger block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.30. The coefficient of friction on the left surface is 0.30, and on the right surface 0.16. (d) How high has the elevator moved above its original starting point, and what is its final velocity? Some books use PE for potential energy. Direction of induced current: no induced curent , Q:All household circuits are wired in parallel. = 5 9.81 * 5 Joules. Two blocks are connected by a massless rope as shown below. An elevator filled with passengers has a mass of1.70103kg1.70103kg. Two of the forces areF1=(3i+5j6k)NF1=(3i^+5j^6k^)NandF2=(4i7j+2k)N.F2=(4i^7j^+2k^)N.Find the third force. solid sphere having charge (q1)=+2.08 fC Can someone briefly sketch the equations here? It gets the cars up to the top, and the speed of the cars is very small during the lifting process and at the top. The radius of the curve is 310 m. What is the angle of banking of the highway? What is the ideal speed to take a 100.0-m-radius curve banked at a20.020.0angle? Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. The problem with trying to answer is that your questions are far to general. @user3591496: welcome. Many cars are roughly a ton. Both wood and steal. Express your answer numerically, in joules. Find the horizontal acceleration of the barges and the tension in the connecting cable. 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. WebWhen you look at a roller coaster, it might be easy to think that they're engine powered. rev2023.3.3.43278. MathJax reference. PEg depends on height, but not on distance covered along the track. Therefore, at any location #x#, speed #=sqrt (v_x^2+v_y^2)# By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. height h, Q:As shown below, a wire loop is immersed in a 0.8 T B-field (the direction of the field is shown in, Q:The 20-g bullet is travelling at 400 m/s when it becomes embedded in the This means energy can be compared at any two points. Calculate the stopping distance if the coefficient of kinetic friction of the tires is 0.500. Start your trial now! 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].