average weight of a roller coaster cart in kg
P7.81). If non-conservative forces are either known or small and if energy is converted from one form to another between the locations, then any time you relate speed and position of an object at two different points conservation of energy is the most direct way to understand the problem. Now as the car starts moving up the hill towards $h_2$ the acquired Kinetic Energy $K=\frac{mv^2}{2}$ is being converted back to Potential Energy $U$ and as long as: $\large{h_1-h_3 > h_2-h_3}$, then the car will be able to negotiate the hill $h_3,h_2$ without problems. Together, they have mass 200.0 kg. (b) What force would he have to exert if the steel parts were oiled? Find the direction and magnitude of the acceleration of the flea if its mass is6.00107kg6.00107kg. Assume the child is not holding on and does not wear a seat belt. (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? Q:Which model shows how light waves react with a red jacket? The height of the A time-dependent force ofF(t)F(t)is applied at timet=0t=0, and its components areFx(t)=ptFx(t)=ptandFy(t)=n+qtFy(t)=n+qtwherep,q, andnare constants. Webto the floor of the roller coaster at all times, allowing the mass to move up and down in the tube freely.) What is the coefficient of kinetic friction between the child and the surface of the incline? The body and spring are placed on a horizontal frictionless surface and rotated about the held end of the spring at 2.0 rev/s. Explain how this allows the curve to be taken at the greatest speed. slides along a frictionless track. Modern roller coasters have vertical loops like the one shown here. 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. h A small space probe is released from a spaceship. If an object is to rest on an incline without slipping, then friction must equal the component of the weight of the object parallel to the incline. Because you are given information about the motion of the roller-coaster, you can solve for force using energy (or Newtons Second Law) rather than plugging into the definition of friction. WebA roller coaster car with its passengers has a mass of 220 kg and it goes through a series of horizontal and vertical curves. If the cart starts at a height h1 = 10m, how much must the. --------------------------------- 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. Because essentially no energy is lost from the system (you are told friction and air resistance are negligible,) the amount of energy in the system remains constant throughout. each. (c) Which premise is unreasonable, or which premises are inconsistent? When it is released, the block travels along a frictionless, horizontal surface to point , the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. Rotating and accelerated frames of reference are noninertial. 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?? A box is dropped onto a conveyor belt moving at 3.4 m/s. What centripetal force is exerted if he is 1.25 m from its center? Suppose a steel ball bearing (density7.8103kg/m37.8103kg/m3, diameter 3.0 mm) is dropped in a container of motor oil. The magnitude of static friction force between two materials stationary relative to each other is determined using the coefficient of static friction, which depends on both materials. Again, a reasonable value. (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). Inspection reveals that #y# component of velocity is created due to change of #PE=mgh#, in to #KE=1/2 m v^2#. (b) what is the radius of the turn? I couldn't say exactly as I wasn't at the ride at the time, but my wife (about 55 kg) had to go in the car with the smaller child (about 25 kg) and the larger child (about 35 kg) had to go in a car with another child about her size. 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. My kids went on a roller coaster type ride on the weekend. 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. Suppose we take a sample of the last 100 roller coasters that were built and find that the average of those 100 is 105 seconds. (b) If you continue to exert this force once the crate starts to slip, what will its acceleration then be? A roller coaster whose average speed is 32 ms is at the top of a 72m hill and weighs 966N. B&M sit down, or stand up, or inverted? What is the maximum forceFthat can be applied for the two blocks to move together? Is it a bug? If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a problem on icy mountain roads). (a) Find the direction and magnitude ofFtot,Ftot,the total force exerted on her by the others, given that the magnitudesF1F1andF2F2are 26.4 N and 18.6 N, respectively. What is it? (a) What is the force of the car seat on the child at point A? 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. A breeze blowing on the flea parallel to the ground exerts a force of0.500106N0.500106Non the flea while the flea is still in contact with the ground. 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. IfF=10NF=10NandM=1.0kgM=1.0kg, what is the tension in the connecting string? The mass of the roller coaster below is 80 kg. 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. (c) What is her acceleration assuming she is already moving in the direction ofFtot?Ftot? 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. 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). In one amusement park ride, riders enter a large vertical barrel and stand against the wall on its horizontal floor. (b) What is the velocity after 15.0 s? Take the size across of the drop to be 4 mm, the density to be1.00103kg/m31.00103kg/m3, and the surface area to ber2r2. total positive charge Q = 0.122 nC uniformly, Q:A dipole with charges ? (a) Calculate his velocity when he leaves the floor. roller coaster with weight requirement for a car, We've added a "Necessary cookies only" option to the cookie consent popup. The two barges shown here are coupled by a cable of negligible mass. The radius of the loop is 20 m. What is the height of the car at point A? What's New 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. (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward? Find answers to questions asked by students like you. The car encounters a loop of radius R = 18.0 m at ground level, as shown. Many cars are roughly a ton. Both wood and steal. A banked highway is designed for traffic moving at 90.0 km/h. (b) What is the minimum coefficient of friction between her shoes and the cliff? The energy conversion chain for this motion is, gravitational potential energykinetic energy + gravitational potential energy. Explain this in terms of the relationship between static and kinetic friction. The weight of roller coaster carts varies greatly with the roller coaster style. 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. Find the horizontal acceleration of the barges and the tension in the connecting cable. Calculate the maximum acceleration of a car that is heading up a4.004.00slope (one that makes an angle of4.004.00with the horizontal) under the following road conditions. As he got older, he decided to build and use a staircase instead. 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? Would the direction of rotation reverse if water were forced up the drain? The radius of the curve is 310 m. What is the angle of banking of the highway? from the ground level to a point that is 15 Calculate the stopping distance if the coefficient of kinetic friction of the tires is 0.500. Let the work done by the air resistance when the skier goes from A to B along the given hilly path be 2000 J. The coefficient of static friction between the tires and the wall is 0.68. 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. Venus takes, Q:A particular gasoline tank can hold 48.5 kg of gasoline when full. http://www.rcdb.com/ig222.htm?picture=6, > ok so how much does a normal car weigh in comparison to a If the car goes over the top at just the right speed, gravity alone will supply the centripetal force. (b) What is unreasonable about the result? A crate having mass 50.0 kg falls horizontally off the back of the flatbed truck, which is traveling at 100 km/h. (The gravitational force is balanced by the buoyant force of the water.). Part A Describe this process in more detail, in particular, explaining how it is related to the fact that kinetic friction is less than static friction. (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.). 1 Answer Michael Nov 9, 2016 #sf(41color(white)(x)"m/s")# Explanation: The potential energy of the roller coaster is converted into kinetic energy when it reaches the bottom. Dont I need to know the angles the hills make with the horizontal. Flow rate Q=550 kg/h =0.153kg/s (b) What is the force of the car seat on the child at point B? KE = 500kg 9.81 m s 30m. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. An elevator filled with passengers has a mass of1.70103kg1.70103kg. ), A car of mass 1000.0 kg is traveling along a level road at 100.0 km/h when its brakes are applied. The space probe has mass 20.0 kg and contains 90.0 kg of fuel. Are we talking about filled with fat ACErs or without? The force constant of the spring is 450 N/m. A mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. Use a free-body diagram in your answer. WebWhen you look at a roller coaster, it might be easy to think that they're engine powered. (b) The car goes over the top at slower than this speed? 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. A freight train consists of two8.00105-kg8.00105-kgengines and 45 cars with average masses of5.50105kg.5.50105kg. Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. Roller coasters are therefore not built with circular loops in vertical planes. solid sphere having charge (q1)=+2.08 fC 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. Consider a linear spring, as in Figure 7.7(a), with mass M uniformly distributed along its length. To learn more, see our tips on writing great answers. (b) On wet concrete. The wheels become locked (stop rolling), and the resulting skid marks are 32.0 meters long. Two of the forces areF1=(3i+5j6k)NF1=(3i^+5j^6k^)NandF2=(4i7j+2k)N.F2=(4i^7j^+2k^)N.Find the third force. Plate Area A = 30 cm = 30 10-4m The Law Energy Conservation tells us that: $T=K+U$, with $T$ the Total Energy of the car (and riders). (Velocity and Acceleration of a Tennis Ball). Riders feel as if they are pinned to the wall by a force something like the gravitational force. Assuming that the masses of the string and the frictionless pulley are negligible, (a) find an equation for the acceleration of the two blocks; (b) find an equation for the tension in the string; and (c) find both the acceleration and tension when block 1 has mass 2.00 kg and block 2 has mass 4.00 kg. (a) Find the acceleration of the box. b) How hard does it press against the track at point B. For trains of what speed are these tracks designed? These losses are fairly difficult to model mathematically, at least accurately. A crate of mass 100.0 kg rests on a rough surface inclined at an angle of37.037.0with the horizontal. Human nerve cells have a net negative charge and the material and others use U. asked by Heylee Green November 30, 2020 1 answer Calculate the centripetal force on the end of a 100-m (radius) wind turbine blade that is rotating at 0.5 rev/s. Friction is a contact force that opposes the motion or attempted motion between two systems. AL Is the total mechanical energy conserved in a system that's a simplifying approximation of an actual roller coaster? She must swing into a wind exerting constant horizontal force F, on a vine having length L and initially making an angle with the vertical (Fig. (a) Calculate the minimum forceFhe must exert to get the block moving. Because it is released from rest, its starting velocity is zero. An 850 kg roller-coaster is released from rest at Point A of the track shown in the figure. frictionless 5.0 incline whose vertical, Q:Two blocks, M and M2, are connected by a massless string Find the acceleration of the block. 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? Is it possible to rotate a window 90 degrees if it has the same length and width? > rollercoaster carriage? Show that the maximum angle of an incline above the horizontal for which an object will not slide down is=tan1s.=tan1s. Repeat the preceding problem for a car with four-wheel drive. then at 5 meters up Each car on The Beast weighs 2,300 pounds with the weight of a full train (without riders) 13,800 pounds. What is the direction of the force exerted on you by the car seat? What magnitude force must act up and parallel to the incline for the bin to move down the incline at constant velocity? Assume that friction can be ignored. F(120 m)cos(1800) = - F(120 m)(-1) = +F(120m) 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 With what minimum speed must they begin their swing? How do I determine the molecular shape of a molecule? Assume there is no friction or air resistance between Points A and C. How fast is the roller-coaster moving at Point B? Following similar steps as in for point B. above, (d) At the last hill. The blocks speed at the bottom of the track is = 12.0 m/s, and the block experiences an average friction force of 7.00 N while sliding up the track. Oct 19, 2015 at 23:13. Inertial forces, such as the Coriolis force, are needed to explain motion in such frames. 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). In the second part of this problem, you are asked to find stopping force given stopping distance. The table and the pulley are frictionless. > just a thought > Originally the PTC cars (3 seater) weighed about 1500 to 1600 lbs. Can any combination of forces be a centripetal force? 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. Start your trial now! An Arrow looping train? above) has a mass of 500kg when fully loaded with passengers. > coaster carriage weighs? e) What is the initial KE,, A:According to guidelines we can solved only three subparts. In the figure, the coefficient of kinetic friction between the surface and the blocks isk.k. There are no significant non-conservative forces (like friction) present between Points A and B, and so the work done by non-conservative forces is about zero. Assume the mass is 4 kg. (b) What is her initial acceleration if she is initially stationary and wearing steel-bladed skates that point in the direction ofFtot?Ftot? (a) A 22.0-kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. 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. is placed in an electric field. Calculate the acceleration of the carts and the tension in the cord. Most roller-coasters dont care about too tall, Some problems contain multiple force vectors acting in different directions on an object. It rev2023.3.3.43278. (b) During strenuous exercise, it is possible to exert forces to the joints that are easily 10 times greater than the weight being supported. A 30.0-g ball at the end of a string is swung in a vertical circle with a radius of 25.0 cm. MathJax reference. At any point #x# WF = Fd cos. Connect and share knowledge within a single location that is structured and easy to search. When a body of mass 0.25 kg is attached to a vertical massless spring, it is extended 5.0 cm from its unstretched length of 4.0 cm. Do you mean a Corolla or an SUV? There are no springs or other conservative forces beyond gravity present, so the only potential energy term at both locations is gravitational potential energy. 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. The value of 4200 N is about half the weight of the roller-coaster, so would require a coefficient of friction of about 0.5. Thanks, Responses roller-coaster car accelerating as it moves down a hill roller-coaster car accelerating as it moves down a hill roller-coaster car slowing as it moves up a. (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? An airplane flies at 120.0 m/s and banks at a3030angle. Figure ERROR: CREATE MATERIALIZED VIEW WITH DATA cannot be executed from a function. and ? The situation is same as at #t=0#, where #v_y =0#. 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. and, 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. > coaster carriage weighs? WebStart your trial now! Suppose the ride starts where the car is drawn at a height $h_1$ above a common reference line (like the horizon). 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. Particles in liquids achieve terminal velocity quickly. In addition to being able to negotiate ups and downs safely, the car must also be able to safely negotiate bends. Pe = m g h = 80 * 10 * 30 Joules The ride's queue line is surrounded by bamboo, which adds to the jungle theming. 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) On ice, assuming thats=0.100s=0.100, the same as for shoes on ice. I couldn't say exactly as I wasn't at the ride at the time, but my wife (about 55 kg) had to go in the car with the smaller child (about 25 kg) and the (Ignore rolling.) This means energy can be compared at any two points. Each car on The Beast weighs 2,300 pounds with the weight of a full train (without riders) 13,800 pounds. Given data- First week only $4.99! 2. Physics. In this case, we are given information about the energy at A and are asked for information B. ground A computer disk starts from rest at timeti=0 and accelerates uniformly for 0.500 s to, Q:2. 7.000 How do you calculate the ideal gas law constant? A:If an observer observe an object, it is due to observer received some light from the object. The height of the car at point 725 is the minimum height that is necessary for the car to stay on the loop. M _________m/s Homework Equations Sum of forces in the radial direction = -m (v^2)/R The Attempt at a Free shipping for many products! The tallest lift hills on coasters today use arch shape support strategies to minimize the amount of structure needed. c=1.8i^+2.8j^+4.6k^ TOP VIEWS A roller coaster car with its passengers has a mass of 220 kg and it goes through a series of horizontal and vertical curves. WebIn this case, the force of gravity can be determined from the equation Fgrav = m g. Using a g value of 9.8 m/s 2, the force of gravity acting upon the 864-kg car is approximately 8467 N. Step 5 of the suggested method would be used if the acceleration were not given. All are equivalent and refer to the same thing. a=2.8i^+5.7j^-8.1k^ Express your answer in newtons and as a ratio to the weight of the shell. At the start of the problem, the roller-coaster is at the top of the hill at Point A. (a) What is the force of the car seat on the child at point A? What is its speed at the top of the loop? Therefore, there is no need to solve for the speed of the rollercoaster at Point C. You can set up the Conservation of Energy equation between Point A and Point D. However, it is perfectly fine to solve the intermediate step of finding the velocity at Point C if you like. (c) What is the average force on the shell in the mortar? (Note that this is a small effect and in most toilets the rotation is caused by directional water jets.) Show that the acceleration of any object down an incline where friction behaves simply (that is, wherefk=kN)fk=kN)isa=g(sinkcos).a=g(sinkcos). How much do the roller coaster carts weigh? In which types of motion would each of these expressions be more applicable than the other one? Two friends are having a conversation. My two kids in a car on their own would not be enough weight, it was said. Two expressions were used for the drag force experienced by a moving object in a liquid. the initial height 54.0 m is great enough so that the car never loses contact (b) The mortar itself is a tube 0.450 m long. Find the potential energy of a particle subjected to this force when the particle is at a distance D from P, assuming the potential energy to be zero when the particle is at P. Check Your Understanding suppose the radius of the loop-the-loop in Example 7.9 is 15 cm and the toy car starts from rest at a height of 45 cm above the bottom. View Available Hint(s) K= Submit Part B 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 hmin Find the minimum initial height hminat which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Again, what do you call a "normal" car? In its present state, the crate is just ready to slip and start to move down the plane. Find the net force on the helicopter att=3.0s.t=3.0s. Make some assumption on their frontal areas and calculate their terminal velocities. A roller coaster has a mass of 275 kg. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. Considering only the #y# component of velocity of the car. at the best online prices at eBay! (a) What is the radius of a bobsled turn banked at75.075.0and taken at 30.0 m/s, assuming it is ideally banked? (b) Find the angle of the slope down which this box could move at a constant velocity. Second question has no real answer unless we assume that the potential energy is zero at the ground level. Draw a free-body diagram of the forces to see what the angleshould be. (b) Find the tension in the rope. The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg. For trains of what speed are these tracks designed? 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. Explain. How white light is different from rest of electromagnetic spectrum. An airplane, approching an airport for landing, had been asked to wait until the runway, Q:Two identical light bulbs (with identical resistances) are connected in series to a constant voltage, A:Lettheresistanceofeachlightbulb=RLetthevoltageofthesource=V, Q:A particle has a charge of q = +5.0 C and is located at the origin. Energy is almost always the most efficient way to approach these problems as long as enough information is given. (c) At Point C #approx 33.58m//s# There would be a normal force pointing up and mg pointing down. v^2 = 2 (9.81)(40) Experts are tested by Chegg as specialists in their subject area. Figure < 1 of 1 Part A Find the kinetic energy K of the car at the top of the loop. (Hint: First express the kinetic energy of an infinitesimal element of the spring dm in terms of the total mass, equilibrium length, speed of the right-hand end, and position along the spring; then integrate.). Only two significant figures were given in the text of the problem, so only two significant figures are included in the solution. 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. On average, these carts can weight between 600 and about 1000 pounds each. WebStart Vo = 0 h = 20 m (B) (C h =-5 m d 30m d = 40m. Consider the 65.0-kg ice skater being pushed by two others shown below. b=-4.9i^+4.4j^+3.8k^ Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small(k=0).(k=0). (c) If it actually starts 5.00 m higher than your answer to (b), how much energy did it lose to friction? Also use g = 10 m/s2. Greater than 10 pounds KEA + PEA = KED + PED - Wnc 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. If the top of the next hill is 13 meters, what is the kinetic energy of the roller coaster on this hill? As cars travel, oil and gasoline leaks onto the road surface. Two blocks are connected by a massless rope as shown below. (b) The riders cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in the bottom accompanying figure. It depends which roller coater because each roller coaster has a different weight. Many amusement parks have rides that make vertical loops like the one shown below. Those will also be different than the wide variety of different steel coaster trains, as will the Gerstlauer wood coaster trains and cars. Quantitative Use P.E. Assume the child is not holding on and does not wear a seat belt. Thanks for contributing an answer to Physics Stack Exchange! (Drag area is2.44m2)2.44m2)Assume all values are accurate to three significant digits. >. How much does an average roller coaster cart weigh? Its position at any time is given byx(t)=pt3+qt2x(t)=pt3+qt2wherepandqare constants. M The result of the preceding problem may be useful, but be careful to consider the fact that the snow boarder is going uphill. At a post office, a parcel that is a 20.0-kg box slides down a ramp inclined at30.030.0with the horizontal. (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. Railroad tracks follow a circular curve of radius 500.0 m and are banked at an angle of5.05.0. Tom says a satellite in orbit is not in free fall because the acceleration due to gravity is not9.80m/s29.80m/s2. Calculate the tension in the two ropes if the person is momentarily motionless. Given Data Density of the anchor's weight is i=7.8103 kg/m3 Density of saltwater is s=1025 kg/m3 A 400. kg cart slides along the track shown in the image, beginning at point A. A boater and motor boat are at rest on a lake. (c) Does this acceleration seem large to you? Indicate the direction of the acceleration on each diagram.
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