In Sample Prob. 8.06, if we only change thecoefficient of kinetic friction along theground-level track to be 0.600. Through whatdistance L does the glider slide along thetrack until it stops?а.69.3 mb. 34.6 mС.92.3 md. 120.4 m Figure 8-17 shows a water-slide ride in which a glider is shotby a spring along a water-drenched (frictionless) track thattakes the glider from a horizontal section down to groundlevel. As the glider then moves along the ground-level track,it is gradually brought to rest by friction. The total mass ofthe glider and its rider is m 200 kg, the initial compressionof the spring is d= 5.00 m, the spring constant is k= 3.20 ×10 N/m, the initial height is h= 35.0 m, and the coefficientof kinetic friction along the ground-level track is u = 0.800.Through what distance L does the glider slide along theground-level track until it stops?on the glider to get it moving, a spring force does work onit, transferring energy from the elastic potential energy ofthe compressed spring to kinetic energy of the glider. Thespring force also pushes against a rigid wall. Because thereis friction between the glider and the ground-level track.the sliding of the glider along that track section increasestheir thermal energies.System: Let's take the system to contain all the interact-ing bodies: glider, track, spring, Earth, and wall. Then, be-cause all the force interactions are within the system, thesystem is isolated and thus its total energy cannot change.So, the equation we should use is not that of some externalforce doing work on the system. Rather, it is a conservationof energy. We write this in the form of Eq. 8-37:KEY IDEASBefore we touch a calculator and start plugging numbersinto equations, we need to examine all the forces and thendetermine what our system should be. Only then can wedecide what equation to write. Do we have an isolated sys-tem (our equation would be for the conservation of en-ergy) or a system on which an external force does work(our equation would relate that work to the system'schange in energy)?Forces: The normal force on the glider from the trackdoes no work on the glider because the direction of thisforce is always perpendicular to the direction of theglider's displacement. The gravitational force does workon the glider, and because the force is conservative we canassociate a potential energy with it. As the spring pushes(8-42)This is like a money equation: The final money is equal tothe initial money minus the amount stolen away by a thief.Here, the final mechanical energy is equal to the initial me-chanical energy minus the amount stolen away by friction.None has magically appeared or disappeared.Calculations: Now that we have an equation, let's finddistance L. Let subscript 1 correspond to the initial stateof the glider (when it is still on the compressed spring)and subscript 2 correspond to the final state of the glider(when it has come to rest on the ground-level track). Forboth states, the mechanical energy of the system is thesum of any potential energy and any kinetic energy.We have two types of potential energy: the elastic po-tential energy (U, = kx') associated with the compressedspring and the gravitational potential energy (U, = mgy) as-sociated with the glider's elevation. For the latter, let's takeground level as the reference level. That means that theglider is initially at height y = h and finally at height y = ().In the initial state, with the glider stationary and ele-vated and the spring compressed, the energy is0 = 71Pn +n + Iy = a+ mgh.-0+kdFigure 8-17 A spring-loaded amusement park water slide.(8-43)

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Answered: In Sample Prob. 8.06, if we only change…

In Sample Prob. 8.06, if we only change the coefficient of kinetic friction along the ground-level track to be 0.600. Through what distance L does the glider slide along the track until it stops?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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