A bus negotiates a turn of radius 120 m while traveling at a speed of 96 km/h. If slipping just begins at this speed, what is the coefficient of static friction between the tires and the road? Find the optimum banking angle for the bus.

Q: A 1290 kg sports car rounds a flat curve of radius 56.0 m. Given that the coefficient of static…

A: The expression for find maximum speed of the car is Ff=Fcμmg=mv2rv=μgr

Q: A skateboarder is attempting to make a circular arc of radius r = 19 m in a parking lot. The total…

A: Draw the free-body diagram of the skateboard. The diagram consists of the radial force only since…

Q: A circular race radius 300 m is banked at an angle of 15°. If the coefficient of friction between…

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Q: Problem#2: On an unbanked road, a vehicle travels at 42 mi/h constantly on a circular motion of…

A: The net force acting on an object is the product of the mass and the acceleration of the object. The…

Q: What is the maximum speed with which a 1200 kg car can round a turn of radius 89.0m on a flat tire…

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Q: The maximum static coefficient of friction between the tires of a 2000 kg car and the road is µs,max…

A: Given data The car's mass is: m = 2000 kg The friction coefficient is: μs,max=0.25 The rotation's…

Q: A 3,000-kg truck leaves a freeway on a circular exit of radius 50 m at a speed of 15 m/s. What…

A: Given that:- Mass of a truck (m) = 3000 kg  Radius (r) = 50 m  Speed (V) = 15 m/s

Q: 1.2 kg mass on the end of a string is routed in a vertical circle of radius 0.85 m. If the speed of…

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Q: You're driving your pickup truck around a curve that has a radius of 22 m. How fast can you drive…

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Q: A 980-kg race car can drive around an unbanked turn at a maximum speed of 45 m/s without slipping.…

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Q: A ride at an amusement park consists of a rotating cylinder with a radius of 5.00 m. After it…

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Q: A small button placed on a horizontal rotating platform with diameter 0.530 m will revolve with the…

A: Diameter of the rotating platform (D) = 0.53 mSpeed of the platform N1 =43 rev/min = radius r1 =…

Q: ou are exiting a highway and need to slow down on the off-ramp in order to make the curve. It is…

A: Frictional force of mass m with coefficient of static friction μ, =μmg Centripetal force of mass m…

Q: A car goes around a curve on a road that is banked at an angle of 34.5 °. Even though the road is…

A: The speed of the car can be written as v=Rgμs+tanθ1-μstanθ1/2       μs=0v=Rgtanθ1/2…

Q: A car with a mass of 1500 kg starts to slide while traveling at a speed of 8m / s on a 35 m radius…

A: Given data: Mass of car is m=1500 kg. Velocity of car is v=8 m/s. Radius of corner is r=35 m.

Q: A flat (unbanked) curve on a highway has a radius of 235.0 m. A car rounds the curve at a speed of…

A: The objective of this question is to find the minimum coefficient of static friction that will…

Q: A Dangerous Ride. You and your exploration team are stuck on a steep slope in the Andes Mountains in…

A: Given, Angle, θ=40° Diameter, D=88m Radius, R=882R=44m   The vertical force, mg=Ncosθ The slip…

Q: A 542 kg car traveling at 31.1 m/s is going around a curve having a radius of 103.4 m that is banked…

A: Given data: The mass of car is m=542 kg. The speed of car is v=31.1 m/s. The radius of curve is…

Q: A Dangerous Ride. You and your exploration team are stuck on a steep slope in the Andes Mountains in…

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Q: A 1000-kg car is picking up speed as it goes around a horizontal curve whose radius is 100 m. The…

A: Given that,Mass : m= 1000(kg) μs= 0.350   g = 9.8 m/sec2 Here we need to find the speed  at which…

Q: Banked curves are designed so that the radial component of the normal force on the car rounding the…

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Q: A flat (unbanked) curve on a highway has a radius of 220 m. A car rounds the curve at a speed of…

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Q: The roadway of a bridge over a canal is in the form of a circular arc of radius 38.71 m. What is the…

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Q: Banked curves are designed so that the radial component of the normal force on the car rounding the…

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Q: You are designing a highway which will be safe even if there is no friction between the tires of the…

A: The ideal embankmenr angle is given in radians by the formula, tan(θ)=V2rg where, θ= embankment…

Q: A car with a mass of 1500 kg starts to slide while traveling at a speed of 8m /s on a 35 m radius…

A: Given Radius of curved path is R=35 m Speed of car is v=8 m/s

Q: A 720-kg race car can drive around an unbanked turn at a maximum speed of 47 m/s without slipping.…

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Q: A 720-kg race car can drive around an unbanked turn at a maximum speed of 46 m/s without slipping.…

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Q: A 70 kg motorcyclist turns along a circular arc of radius 72 m, at a speed of 24 m/s. What should be…

A: Mass of the motorcyclist m=70 kg Radius of the circular path r =72 m The speed of the motorcycle…

Q: Given that a racecar with a mass of 795.0 kg is going through an unbanked curve of a constant radius…

A: Given:-  The mass of  the car is m = 795 kg  The radius of the curve is r = 122.0 m  The static…

Q: You are driving and approaching a banked curve, 5% slope. If the speed limit says that the maximum…

A: Banking of roads is defined as the phenomenon in which the edges are raised for the curved roads…

Q: A car enters a 311-m radius horizontal curve on a rainy day when the coefficient of static friction…

A: Given data: Radius (r) = 311 m Coefficient of static friction (μ) = 0.68  Required: The maximum…

Q: Can you please help me solve this problem? A mini van rounds a level turn with a 210 m radius. It…

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.