![Physics for Scientists and Engineers with Modern Physics](https://www.bartleby.com/isbn_cover_images/9781337553292/9781337553292_largeCoverImage.gif)
Concept explainers
Why is the following situation impossible? A mischievous child goes to an amusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the ride’s structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of θ = 20.0° with the horizontal as shown in Figure P6.32. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d = 5.32 m down the sloped side from the center of the cone and pouts. The coefficient of static friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s.
Figure P6.32
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
Physics for Scientists and Engineers with Modern Physics
Additional Science Textbook Solutions
Physical Science
An Introduction to Thermal Physics
University Physics Volume 3
Conceptual Physical Science (6th Edition)
Applied Physics (11th Edition)
Cosmic Perspective Fundamentals
- Why is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.arrow_forwardThere is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 15.0 cm. When the cylinder is rotating at 1.64 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall?arrow_forwardDavid is getting ready to take down the mighty Goliath. David ties a 583 g rock to a rope that is 2.30 m in length. If David starts to swing the rope in a horizontal circle and is tilted down at a 5.94° angle, what is angular speed of the rock?arrow_forward
- A small ball of mass m is suspended by a string of length I. The Sung makes an angie ß with the vertical. The ball revolves in a circle with an unknown constant angular speed w. The orbital plane of the ball is at a height h above the ground. Let g be the gravitational constant. You may ignore air resistance and the size of the ball. m +y +x Find an expression for the angular speed w. Express you answer in terms of some or all of the following: 1, ß, and g.arrow_forwardTwo bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are us = 0.80 and uk = 0.60. What is the magnitude of the friction force on Buzz, in Newtons? Buzz has a mass of 2.0 kg (I know, a big bug!). Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Crunchyarrow_forwardA three-blade wind turbine, which spins perpendicularly to the ground, is set on a pole that is 38 m tall and completes 5 revolutions in one minute. The length of one blade is approximately 4 m long. One particular blade lies parallel to the ground before the turbine started to spin. b) What is the height of the tip of the blade after one second from start?arrow_forward
- Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.3 m from the center. The carousel takes 5.0 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? ?M _____rev/svM =_____m/s (b) What is Alex's angular speed ?A and tangential speed vA? ?A _____rev/svA =_____m/sarrow_forwardA 5 kg hoop (I=MR2) with a radius of 2 m is placed at the top of a hill that is 8 m high. There is just enough friction of the hoop to roll when it is released from rest. What is the hoop's translational (traveling) speed at the bottom of the hill? Please use 10 m/s2 for the magnitude of the acceleration due to gravity.arrow_forwardWhy is the following situation impossible? A mischievous child goes to anamusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the ride’s structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of θ = 20.0° with the horizontal as shown. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d 5 5.32 m down the sloped side from the center of the cone and pouts. The coefficient ofstatic friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s.arrow_forward
- Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.5 m from the center. The carousel takes 3.0 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? ?M = rev/s vM = m/s (b) What is Alex's angular speed ?A and tangential speed vA? ?A = rev/s vA = m/sarrow_forwardIn 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. Suppose the building had been constructed. Ignoring Earth’s rotation, find the change in your weight if you were to ride an elevator from the street level, where you weigh 600 N, to the top of the building.arrow_forwardA small ball of mass m is suspended by a string of length L. The string makes an angle β with the vertical. The ball revolves in a circle with an unknown constant angular speed w. The orbital plane of the ball is at a height h above the ground. Let g be the gravitational constant. You may ignore air resistance and the size of the ball.Later, the ball detaches from the string just as it passes the x-axis. It flies through the air and hits the ground at an unknown horizontal distance d from the point at which it detached from the string. What horizontal distance d does the ball traverse before it hits the ground? Express you answer in terms of some or all of the following: β, L, harrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553292/9781337553292_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)