Question is attached below. ### Physics Problem: Calculating Maximum Speed of a Racecar on a Curved Track#### Problem Statement:A racecar has a mass of 860 kg and is speeding around a track at a curved section. The road has an angle of 20° and has a radius of 70 m. The coefficient of friction between the tires and concrete on the track is μ = 1.0. **Question:** What is the maximum speed a racecar is able to drive through the curved section so that it stays in direct middle of the track and does not slide up or down the slope?#### Note:Think about the direction of each force and net force. Thinking about forces on a car turning in a circle on flat ground could help.#### Diagrams Explanation:1. **Top View of the Track:** - This illustration shows an overhead view of the curved track. The racecar is located on a section of the track that is part of a circular path.2. **Side View of the Slope:** - This side view diagram depicts the racecar on an inclined plane with an angle θ = 20°. This slope is representative of the banked angle of the curved track. ### Equations and Concepts:Consider the forces acting on the racecar:1. The gravitational force (mg) acting downward.2. The normal force (N) acting perpendicular to the surface of the track.3. The frictional force (f) acting along the surface of the track, opposing the direction of slipping.#### Forces Breakdown:- **Normal Force Component:** \( N \cos \theta \)- **Friction Force Component:** \( f = \mu N \) - For maximum value, \( f = \mu N \)- **Centripetal Force:** Required to keep the racecar moving in a circle: \( F_c = \frac{mv^2}{r} \)#### Balance of Forces:Combining friction and gravity with respect to the inclined plane, use the following equations to solve for the maximum speed.Apply Newton's second law in both perpendicular and parallel directions to the inclined plane.### Conclusion:By applying the conditions for both the equilibrium of forces and the maximum frictional force, solve for the velocity (v) to determine the maximum speed the car can maintain on the banked turn without slipping.

Given: Mass of car = 860 kg Angle of inclination = 20 degree Radius of road, r = 70 m Coefficient of…

A racecar has a dround a track ata of 20° and has radius Of 70 m. coefficient of friction mass of 860 kg and is Speeding curved sectiov. Road has an angle between the tives ņ concrefe what's the maximum Speed op race car is able to arve through the curved Section so dthat it Stays in direct middfe of on the tracKS is M =l.O, the track and does not Slide üp 08down the slope Note: thinK about divection think about forces on a flat ground coulo help af eah fore + net force, car 'turning in a Circle on Side Viewi O =20°

A racecar has a dround a track ata of 20° and has radius Of 70 m. coefficient of friction mass of 860 kg and is Speeding curved sectiov. Road has an angle between the tives ņ concrefe what's the maximum Speed op race car is able to arve through the curved Section so dthat it Stays in direct middfe of on the tracKS is M =l.O, the track and does not Slide üp 08down the slope Note: thinK about divection think about forces on a flat ground coulo help af eah fore + net force, car 'turning in a Circle on Side Viewi O =20°

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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