A child places a picnic basket on the outer rim of a merry-go-round that has a radius of 5.0 m and revolves once every 27 s. (a) What is the speed of a point on that rim? (b) What is the lowest value of the coefficient of static friction between basket and merry-go-round that allows the basket to stay on the ride?

A child places a picnic basket on the outer rim of a merry-go-round that has a radius of 5.0 m and revolves once every 27 s. (a) What is the speed of a point on that rim? (b) What is the lowest value of the coefficient of static friction between basket and merry-go-round that allows the basket to stay on the ride?

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)...

See similar textbooks

Related questions

Q: During an Olympic bobsled run, the Jamaican team makes a turn of radius 9.20 m at a speed of 104…

A: Acceleration is,

Q: A roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circu…

A: Given: The speed of the car at the top of the loop, v=10 m/s. The radius of the loop r=20 m. Mass…

Q: An 825-kg race car can drive around an unbanked turn at a maximum speed of 54 m/s without slipping.…

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

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 rocket, launched from the Earth, shuts off its engines when its speed is 5.25 km/s. It reaches a…

A: Given data: The speed is v=5.25 km/s. The maximum altitude is r=2850 km. The mass of the Earth is…

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 69.0-kg ice skater is moving at 4.05 m/s when she grabs the loose end of a rope, the opposite end…

Q: all black with mass 0.0700 kg slides in a vertical cir r track. There is no friction bětween the…

A: Mass of block = 0.0700 kg Circular path radius R = 0.800 m Normal force at bottom Nb = 4.00 N

Q: What must be the curved path radius if the maximum velocity speed of the bus must be 10 m/s, with…

Q: A roller-coaster car has a mass of 1210 kg when fully loaded with passengers. As the car passes over…

Q: A Formula One race car with mass 720.0 kg is speeding through a course in Monaco and enters a…

Q: A car travels on a horizontal road in a circle of radius 50 m. If the car can the car travel with a…

Q: A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates…

A: It is given that, r=49.7 mv=14.3 m/s

Q: A 980-kg race car can drive around an unbanked turn at a maximum speed of 40 m/s without slipping.…

Q: A circular automobile racetrack is banked at an angle θ, to the horizontal, such that no friction…

A: Solution: Given that ; No friction condition V = 30m/s r = 400 m Fnet = Fcentripetal force mg tanθ…

Q: A ball on a string is spun in a circle over someone's head. If the ball has a mass of 0.75 kg,…

A: (given) Mass (m) of the ball = 0.75 kg Spinning speed (v) of a ball = 3 m/s…

Q: For a car driving around a flat, unbanked curve without sliding, the centripetal force is supplied…

A: Here are the filled-in blanks: 1. For a car driving around a flat, unbanked curve without sliding,…

Q: A dog is running in a circle with a radius of 23.7 m at a speed of 65.9 km/h. What is the minimum…

A: Given data: Dog running in a circular path Radius (r) = 23.7 m Speed (v) = 65.9 km/h Required: The…

Q: automobile moves on a level horizontal road in a circle of radius 50 m. The coefficient of static…

Q: a vehicle with a mass of 2.5x10^3 kg is driving at a speed of 56 km/h around a level roadway with a…

A: Given , mass of vehicle , m = 2.5×10-3 kg Speed , v = 56 km/hr =56×518 = 15.56 m/s…

Q: A vehicle with a mass of 2.1x103 kg is driving at a speed of 62 km/h around a level roadway with a…

Q: 64.0-kg ice skater is moving at 3.91 m/s when she grabs the loose end of a rope, the opposite end of…

Q: A car is driving on a flat, circular track and accelerates uniformly from rest with a tangential…

Q: Suppose the radius of the room is 3.91 m and the speed of the wall is 13.9 m/s when the floor falls…

A: Given , Radius of room , r = 3.91 m speed of wall , v = 13.9 m/s We know that centripetal force =…

Q: A child places a picnic basket on the outer rim of a merry-goround that has a radius of 4.6 m and…

A: (a) The speed of the point on the rim is given by, v=2πrT Here, r is the radius of the…

Q: A 950-kg race car can drive around an unbanked turn at a maximum speed of 46 m/s without slipping.…

A: If a particle moves in a circle of radius r with a constant speed v, its acceleration is v2r…

Concept explainers

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.

Question

Current Attempt in Progress
A child places a picnic basket on the outer rim of a merry-go-round that has a radius of 5.0 m and revolves once every 27 s. (a) What is
the speed of a point on that rim? (b) What is the lowest value of the coefficient of static friction between basket and merry-go-round
that allows the basket to stay on the ride?
(a) Number i
(b) Number i
Units
Units

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: In this step I give a small description with a diagram.

VIEW

Step 2: I solve the first problem

VIEW

Step 3: I give a description about second problem with a diagram

VIEW

Step 4: I derive second problem

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle ? = 23.2° and radius of curvature 168 m. (a) If the coefficient of static friction between the car's tires and the road is ?s = 0.393, what is the range of speeds for which the car can safely negotiate the turn without slipping? vlow=? m/s. vhigh= ? m/s b)What is the minimum value of ?s for which the car's minimum safe speed is zero? Note that friction points up the incline here.
A racing car on a flat circular track needs friction between the tires and the track to maintain its circular motion. How much more friction is required for twice the speed?
A Formula One race car with mass 740.0 kg is speeding through a course in Monaco and enters a circular turn at 235.0 km/h in the counterclockwise direction about the origin of the circle. At another part of the course, the car enters a second circular turn at 190.0 km/h also in the counterclockwise direction. If the radius of curvature of the first turn is 125.0 m and that of the second is 100.0 m, compare the angular momenta of the race car in each turn taken about the origin of the circular turn. (Compare using the magnitudes of the angular momenta for each turn.) Iturn 1 turn 2
At an amusement park loop-the-loop ride, the loop has a radius of 10 m. In one of the cars, you are riding sitting on a scale, which measures your apparent weight (i.e., the normal force from the scale). Before the rides start, your apparent weight is 800 N. (a) What is your apparent weight at the top of the loop when the car is going 12 m/s? (b) What is your apparent weight at the bottom of the loop when the car is going 18 m/s?
A 720-kg race car can drive around an unbanked turn at a maximum speed of 47 m/s without slipping. The turn has a radius of 170 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 12000 N on the car. (a) What is the coefficient of static friction between the track and the car's tires? (b) What would be the maximum speed if no downforce acted on the car? (a) Number i (b) Number i Units Units
A 720-kg race car can drive around an unbanked turn at a maximum speed of 46 m/s without slipping. The turn has a radius of 170 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 11000 N on the car. (a) What is the coefficient of static friction between the track and the car's tires? (b) What would be the maximum speed if no downforce acted on the car? (a) Number i (b) Number i Units Units + +
A 70 kg motorcyclist turns along a circular arc of radius 72 m, at a speed of 24 m/s. What should be the minimum value of the coefficient of static friction so that the motorcycle does not slip?
Problem 6: A car with mass m = 1000 kg is traveling around a circular curve of radius r = 840 m when it begins to rain. The coefficients of static friction between the road and tires is ug = 0.63 when dry and uw = 0.29 when wet.
At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders “plastered” against the wall. Suppose the radius of the room is 3.3 m. If the coefficient of static friction between a rider’s back and the wall is 0.389, what is the minimum rotation speed of the cylindrical room in of revolutions per minute (rpm) if the rider is to remain in place when the floor drops away? Use g=10 m/s2.
A car is driving along a circular track of diameter d = 0.95 km at a constant speed of v = 22 m/s. What is the value of the minimum coefficient of friction U, between the cars tires and the road that is required to keep the car going in a circle?
A cat dozes on a stationary merry-go-round, at a radius of 5.40 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper tuning rate of one complete revolution every 6.00 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place when it is to the right of the center of the ride, without sliding? The three forces acting on the cat must be identified. Which forces act on the cat? Gravitational force Static frictional force Tension Kinetic frictional force Normal force
How large must the coefficient of static friction be between the tires and the road if a car is to round a level curve of radius 85m at a speed of 26.4 m/s? Assume that the tires are not slipping , but about to break free. (Answer =0.84)