EBK PHYSICS FUNDAMENTALS
2nd Edition
ISBN: 9780100265493
Author: Coletta
Publisher: YUZU
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Chapter 5, Problem 53P
To determine
To calculate: The minimum value of the coefficient of static friction between the riders and the wall in an amusement park ride, so that the riders don’t slide down the wall during the ride.
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A Wall of Death is a carnival show featuring a motorcyclist rides along the vertical wall of the cylinder and performs various stunts while doing so. Given that the radius of the cylinder is 7 m and the static coefficient of friction is 0.8, what is the minimum speed in m/s2 that the motorcyclist must do to prevent the motorcycle to slip from the wall?
In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 284 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?
A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car can traverse the curve without slipping?
Chapter 5 Solutions
EBK PHYSICS FUNDAMENTALS
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- A turn has a radius of R and is banked at an angle theta so that on a perfectly icy (frictionless) day a car with a speed v will not slip. What is v in terms of R and theta?arrow_forwardA velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.arrow_forwardA car with a mass of 1500 kg starts to slide while traveling at a speed of 8m / s on a 35 m radius corner. So what is the static friction coefficient between the road and the wheel?arrow_forward
- A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel to the ground. For a speed of 47.5 m/s, at what value of the distance d should a driver locate his car if he wishes to stay on a circular path without depending on friction?arrow_forwardAn engineer wants to design a circular racetrack of radius r such that cars of mass m can go around the track at speed V without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Express the answer in terms of m, r, V, and g. Suppose the race cars actually round the track at a speed w>V. What additional radial force Fr is required to keep the cars on the track at this speed? Express the answer in terms of m, r, V, w, and g.arrow_forwardThe curved section of a horizontal highway is a circular unbanked arc of radius 520 m. If the coefficient of static friction between this roadway and typical tires is 0.30, what would be the maximum safe driving speed for this horizontal curved section of highway?arrow_forward
- A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.600. a. What is the maximum safe speed that a car can travel around the curve without skidding? answer in m/s b. Which of the following is the correct free-body diagram of the car when it enters the curve at a speed greater than the maximum safe speed? (OPTIONS ATTACHED) c. When the car enters the curve at a speed greater than the maximum safe speed (speed at which the car won’t skid), which of the following statements are correct? The static frictional force is not large enough to keep the car in a circular path. The car skids toward the outside of the curve. The car skids toward the inside of the curve. The static frictional force is large enough to keep the car in a circular path.arrow_forwardA small object with mass of 0.5kg is attached to the lower end of a long string and moves in a horizontal circle of radius 0.7 m with a constant speed of 3 m/s. What angle does the string make with the vertical?arrow_forwardA body of mass 8 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 10 seconds. At the time t=0, the body is at the rightmost point of the circle.A. Compute the centripetal force acting on the body at time t.⟨, ⟩B. Compute the magnitude of that force. HINT. Start with finding the angular velocity w [rad/s] of the body (the rate of change of its polar angle w.r.t. the center of rotation).Then find the position vector r→(t) of the body at time t.Then find its acceleration vector a→(t) at time t.Then use Newton's 2nd law to find the centripetal force F→(t).arrow_forward
- 23. A highway has a flat section with a tight level curve of radius 40 m. If the coefficient of static friction between tires and pavement surface is 0.45, what is the maximum speed v at which the car of mass m can negotiate the curve safely – in other words, without the tires slipping? (Hint: the friction force between tires and pavement = coefficient of static friction times normal force) *use g=9.8 a. 18 m/s b. 23 m/s c. 15 m/s d. 13 m/s e. 10 m/sarrow_forwardA small block with mass 0.0300 kgkg slides in a vertical circle of radius 0.425 mm on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point AA, the magnitude of the normal force exerted on the block by the track has magnitude 3.90 NN . In this same revolution, when the block reaches the top of its path, point BB, the magnitude of the normal force exerted on the block has magnitude 0.675 NN . 1)How much work was done on the block by friction during the motion of the block from point AA to point BB?arrow_forward10 m/s, with 0.5 as the coefficient of static friction so that the car can still turn safely without skidding out of a curved road?arrow_forward
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