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 =250 m.What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?

Q: Lola can do a loop-the-loop on a skateboard of radius 4.9 m. What is the minimum speed needed for…

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Q: A car rounds an unbanked curve of radius 50 m at a constant speed. If the coefficient of static…

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Q: A puck of mass m = 0.075 kg is moving in a circle on a horizontal frictionless surface. It is held…

A: Given, m = 0.075kg L= 0.34m t= 0.65 s Formula used : Ft = mLw2 , v = Lw

Q: A mass of 0.50 kg hangs from the end of a rope that rotates in vertical circles of radius 2.0 m.…

A: Given, Mass, m=0.5 kg, length, l=2.0 m, and speed v=8.0 m/s.

Q: A car of mass 850 kg attempts to round an unbanked road with a radius of 100 m. If the coefficient…

A: Mass of the car,  Radius of the road,  Coefficient of static friction,  Acceleration due to gravity,…

Q: A curve on the freeway has a radius r = 300 m. What banking angle would allow vehicles traveling at…

A: Here given that the radius of the curve is 300 m. Now the car is moving at a speed of 35 m/s.We have…

Q: A 834 kg automobile is moving at a maximum speed of 33 m/s on a level circular track of radius 362…

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Q: A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom…

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Q: A car is rounding a flat, unbanked curve with radius R = 200m, a.) If the coefficient of static…

A: (a) The frictional force is balanced by the centripetal force. f=FcμsN=mv2Rμsmg=mv2Rv=μsgR…

Q: An engineer wants to design a circular racetrack of radius r such that cars of mass m can go around…

A: Consider the free-body diagram of the car on the circular racetrack when it moves with a speed V. To…

Q: A car of mass 1,250 kg travels along a circular road of radius 85.0 m at 21.0 m/s. (a) Calculate the…

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Q: A pickup truck weighing 4500 kg travels at a contact speed of 40 m/s around a circular track . The…

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Q: A car of mass 1,925 kg travels along a circular road of radius 90.0 m at 15.0 m/s. (a) Calculate the…

A: Given data: Mass (m) = 1925 kg Radius (r) = 90.0 m Speed (v) = 15.0 m/s Required: Centripetal…

Q: A 2 kg ball is moving with a constant speed of 5 m/s in a horizontal circle whose radius is 50 cm.…

A: Given: Mass of the ball, m = 2 kg                speed, v = 5 m/s             Radius, r = 50 cm 0.5…

Q: A roadway for stunt drivers is designed for racecars moving at a speed of 40 m/s. A curved section…

A: Given data The speed of the race-cars of stunt driver is: v = 40 m/s The radius of the…

Q: In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross…

A: In the given question given that radius of the circle is 284m and we have to determine the value of…

Q: A skateboarder is attempting to make a circular arc of radius r = 11 m in a parking lot. The total…

A: When the skater slides there is only kinetic friction accelerating him radially.

Q: Let's begin with a simple circular-motion problem in which tension provides the necessary radial…

A: Acceleration of an object performing uniform circular motion is called centripetal acceleration and…

Q: A car enters a 364-m radius horizontal curve on a rainy day when the coefficient of static friction…

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Q: A particle with mass m = 100 g moves around a horizontal circle with a diameter d it takes t = 3s to…

A: Giveb: m = 100 g = 0.1 kg, r = 1 m, t = 3 s, θ=2π

Q: A car is safely negotiating an unbanked circular turn at a speed of 15 m/s. The road is dry, and the…

A: This question is based on Newton's laws of motion topic. When a car takes a circular turn, it…

Q: A car travels at a constant speed of 12.6 m/s on a level circular curve of radius 54m. (a) What…

A: here, speed = 12.6 m/s radius = 54 m

Q: The weight of passengers on a roller coaster increases by 53 percent as the car goes through a dip…

A: If passengers feels that their weight is increased by53%  at the bottom which denotes that normal…

Q: Figure P4.31 represents the total acceleration of a particle moving clockwise in a circle of radius…

A: Given data: Acceleration, a=15 ms2 The radius, r=2.5 m a For the radial acceleration: The radial…

Q: A newly discovered planet has twice the mass and three times the radius of the earth. What is the…

A: Times the new planet's mass more than the earth i s2.Times the new  planet's radius more than the…

Q: At what maximum speed can a car exit onto a 40-m-radius circular freeway ramp without sliding if the…

A: Given  Radius r=40m Coefficient of static friction μs=0.9

Q: A curve in a road forms part of a horizontal circle. As a car goes around it at constant speed 14.0…

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Q: A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius…

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Q: A 0.35kg ball is attached to a rope in a horizontal circle of radius 85cm. If the rope can withstand…

A: Given that            The mass of the ball is (m) = 0.35Kg            Radius of horizontal circle…

Q: A car travels down a straight country road that leads over hills and through valleys. On one…

A: Given:Actual weight of the driver = 740 NRadius of the top of the circle of the hill = 115 mRadius…

Q: Which of these equations would you use to calculate the very least speed with which you could swing…

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Q: A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static…

A: In the given question, Radius of the highway (r) = 512m Coefficient of static friction (μ) = 0.6 We…

Q: QUESTION 21 At what maximum speed can a car exit onto a 40-m-radius circular freeway ramp without…

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Q: A race car travels 76 m/s around a circular track of radius 159 m What is the magnitude of the…

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Q: A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom…

A: Given that: Mass of the stone=m Radius of the vertical circle=r Tension in the bottom point,…

Q: A 1500 kg car moving on a flat, horizontal road negotiates a curve. If the radius of the curve is…

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Q: Racing on a flat track, a car going 32 m/s rounds a curve 56 m in radius. a. What is the car's…

A: Given  Velocity = 32 m/s Radius = 56 m (a) We know the expression for Centripetal acceleration is Ac…

Q: You swing a bucket of water in a vertical circle at arm's length (0.70 m). What is the minimum…

A: At top contact force must be greater than 0  So that water will not spilling out

Q: A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom…

A: Let T be defined as the tension on the string. Also, there will be a centripetal force act on the…

Q: A 0.9 m long string with a 0.5 kg stone is whirled in a vertical circle at a uniform velocity of 4…

A: When a body is hurled in vertical motion, we need to consider the gravitational force, tension in…

Q: The figure shows a version of the loop-the-loop trick for a small car. If the car is given an…

A: Given, Initial velocity = 4.0 m/s

Q: In a roundabout (or traffic circle), cars go around a 25-m-diameter circle. If a car’s tires will…

A: Assume that the traffic circle is unbanked. The force of friction must be at least equal to the…

Q: A car is safely negotiating an unbanked circular turn at a speed of 29 m/s. The road is dry, and the…

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Q: A car weighs 3000 Ibs and is making a turn around a banked curve of angle 38 degrees where the…

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Q: During a snow where the road is almost frictionless, a car can round a curve of radius 100 m at a…

A: Radius , R = 100 m Maximum speed when snowy , Vmax(s) = 15 m/s Safe velocity , V = 25 m/s To find =…

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.