Explanation Given: The length of the horizontal cord is l . The peg is at a distance of h below the point of attachment of the cord. This height is h = 0.80 l . Formula used: The speed of the ball at the bottom of its path is calculated from the energy conservation equation. The kinetic energy of the ball is equal to its potential energy at the given lowest point. Thus, 1 2 m v 2 = m g l Once the value of v is known, at the top of the given circular path, the speed of the ball can be calculated. Calculations: Part a If the speed at the lowest point of the path is v , then 1 2 m v 2 = m g l v = 2 g l Part b The radius of the circular path about the peg is: = l − h = l − 0.80 l = 0.20 l Therefore, its diameter is: = 2 × 0.20 l = 0.40 l Consider the energy conservation about this diameter of the circular path

7th Edition

ISBN: 9780321733627

Author: Douglas C. Giancoli

Publisher: PEARSON

See similar textbooks

Concept explainers

Kinematics

A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine par…

Kinetic Energy and Work-Energy Theorem

In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the d…

Videos

Question

Chapter 6, Problem 90GP

To determine

a. The speed of the ball at the lowest point of its path.

b. The speed of the ball at the top of the given circular path about the peg.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 89GP

Chapter 6, Problem 91GP

Students have asked these similar questions

Please solve and answer all parts of the question correctly please. Thank you!!

Please solve and answer this question correctly please. Thank you!!

Please solve and answer the question correctly please. Thank you!!

Chapter 6 Solutions

Physics

Ch. 6 - A skier starts at the top of a hill. On which run...Ch. 6 - In what ways is the word “work’' as used in...Ch. 6 - Can a centripetal force ever do work on an object?...Ch. 6 - Why is it tiring to push hard against a solid wall...Ch. 6 - Can the normal force on an object ever do work?...Ch. 6 - You have two springs that are identical except...Ch. 6 - If the speed of a particle triples, by what factor...Ch. 6 - List some everyday forces that are not...Ch. 6 - A hand exerts a constant horizontal force on a...Ch. 6 - You lift heavy book from a table to a high shelf....

Ch. 6 - A hill has a height h. A child on a sled (total...Ch. 6 - Analyze the motion of a simple swinging pendulum...Ch. 6 - In Fig. 6-31, water balloons are tossed from the...Ch. 6 - What happens to the gravitational potential energy...Ch. 6 - Experienced hikers prefer to step over a fallen...Ch. 6 - The energy transformations in pole vaulting and...Ch. 6 - Prob. 16Q Ch. 6 - 17. Two identical arrows, one with twice the speed...Ch. 6 - Prob. 18Q Ch. 6 - Prob. 19Q Ch. 6 - Describe the energy transformations that take...Ch. 6 - Prob. 21Q Ch. 6 - Prob. 22Q Ch. 6 - Prob. 23Q Ch. 6 - Prob. 1MCQ Ch. 6 - Prob. 2MCQ Ch. 6 - When the speed of your car is doubled, by what...Ch. 6 - Prob. 4MCQ Ch. 6 - Prob. 5MCQ Ch. 6 - Prob. 6MCQ Ch. 6 - Prob. 7MCQ Ch. 6 - Prob. 8MCQ Ch. 6 - Prob. 9MCQ Ch. 6 - Prob. 10MCQ Ch. 6 - Prob. 11MCQ Ch. 6 - Prob. 12MCQ Ch. 6 - Prob. 13MCQ Ch. 6 - Prob. 14MCQ Ch. 6 - A 75.0-kg firefighter climbs a flight of stairs...Ch. 6 - The head of a hammer with a mass of 1.2 kg is...Ch. 6 - How much work did the movers do (horizontally)...Ch. 6 - A 1200-N crate rests on the floor. How much work...Ch. 6 - What is the minimum work needed to push a 950-kg...Ch. 6 - Estimate the work you do to mow a lawn 10 m by 20...Ch. 6 - In a certain library the first shelf is 15.0 cm...Ch. 6 - A lever such as that shown in Fig. 6-35 can be...Ch. 6 - A box of mass 4.0 kg is accelerated from rest by a...Ch. 6 - A 380-kg piano slides 2.9 m down a 25° incline and...Ch. 6 - Recall from Chapter 4, Example 4-14, that you can...Ch. 6 - A grocery cart with mass of 16 kg is being pushed...Ch. 6 - The force on a particle, acting along the x axis,...Ch. 6 - A 17,000-kg jet takes off from an aircraft carrier...Ch. 6 - At room temperature, an oxygen molecule, with mass...Ch. 6 - (a) If the kinetic energy of a particle is...Ch. 6 - How much work is required to stop an electron...Ch. 6 - How much work must be done to stop a 925-kg car...Ch. 6 - Prob. 19P Ch. 6 - A baseball (m = 145 g) traveling 32 m/s moves a...Ch. 6 - Prob. 21P Ch. 6 - Prob. 22P Ch. 6 - Prob. 23P Ch. 6 - 24. (Ill) One car has twice the mass of a second...Ch. 6 - 25. (Ill) A 265-kg load is lifted 18.0 m...Ch. 6 - 26. (I) By how much does the gravitational...Ch. 6 - A spring has a spring constant k of 88.0 N/m. How...Ch. 6 - Prob. 28P Ch. 6 - 29. (II) A 66.5-kg hiker starts at an elevation of...Ch. 6 - Prob. 30P Ch. 6 - A novice skier starting from rest, slides down an...Ch. 6 - 32. (I) Jane, looking for Tarzan, is running at...Ch. 6 - A sled is initially given a shove up a...Ch. 6 - Prob. 34P Ch. 6 - 35. (II) A spring with k=83 N/m hangs vertically...Ch. 6 - Prob. 36P Ch. 6 - Prob. 37P Ch. 6 - Prob. 38P Ch. 6 - Prob. 39P Ch. 6 - Prob. 40P Ch. 6 - Prob. 41P Ch. 6 - 42. (II) What should be the spring constant k of a...Ch. 6 - 43. (Ill) An engineer is designing a spring to be...Ch. 6 - Prob. 44P Ch. 6 - 45. (III) A cyclist intends to cycle up a 7.50°...Ch. 6 - Prob. 46P Ch. 6 - Prob. 47P Ch. 6 - Prob. 48P Ch. 6 - Prob. 49P Ch. 6 - Prob. 50P Ch. 6 - Prob. 51P Ch. 6 - 52. (II) You drop a ball from a height of 2.0 m,...Ch. 6 - 53. (II) A 66-kg skier starts from rest at the top...Ch. 6 - 54. (II) A projectile is fired at an upward angle...Ch. 6 - 55. (II) The Lunar Module could make a safe...Ch. 6 - 56. (III) Early test flights for the space shuttle...Ch. 6 - How long will It take a 2750-W motor to lift a...Ch. 6 - 58. (I) (a) Show that one British horsepower (550...Ch. 6 - An 85-kg football player traveling 5.0 m/s is...Ch. 6 - Prob. 60P Ch. 6 - Prob. 61P Ch. 6 - A shot-putter accelerates a 7.3-kg shot from rest...Ch. 6 - Prob. 63P Ch. 6 - 64. (II) How much work can a 2.0-hp motor do in...Ch. 6 - Prob. 65P Ch. 6 - Prob. 66P Ch. 6 - Prob. 67P Ch. 6 - Prob. 68P Ch. 6 - Prob. 69P Ch. 6 - 70. (II) What minimum horsepower must a motor have...Ch. 6 - Prob. 71P Ch. 6 - Prob. 72GP Ch. 6 - Prob. 73GP Ch. 6 - Prob. 74GP Ch. 6 - Prob. 75GP Ch. 6 - Prob. 76GP Ch. 6 - Prob. 77GP Ch. 6 - Prob. 78GP Ch. 6 - Prob. 79GP Ch. 6 - Prob. 80GP Ch. 6 - Prob. 81GP Ch. 6 - Prob. 82GP Ch. 6 - Prob. 83GP Ch. 6 - Prob. 84GP Ch. 6 - Prob. 85GP Ch. 6 - Prob. 86GP Ch. 6 - Prob. 87GP Ch. 6 - Prob. 88GP Ch. 6 - Prob. 89GP Ch. 6 - Prob. 90GP Ch. 6 - Prob. 91GP Ch. 6 - Prob. 92GP Ch. 6 - Prob. 93GP Ch. 6 - Prob. 94GP

Additional Science Textbook Solutions

Find more solutions based on key concepts

In a rapidly changing environment, which bacterial population would likely be more successful, one that include...

Campbell Biology in Focus (2nd Edition)

How is migration based on circannual rhythms poorly suited for adaptation to global climate change?

Campbell Biology (11th Edition)

1. How many cervical, thoracic, lumbar, sacral, and coccygeal vertebrae are normally present in the vertebral ...

Human Anatomy & Physiology (2nd Edition)

1.3 Obtain a bottle of multivitamins and read the list of ingredients. What are four chemicals from the list?

Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)

Why is petroleum jelly used in the hanging-drop procedure?

Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)

27. Consider the reaction. Express the rate of the reaction in terms of the change in concentration of each of...

Chemistry: Structure and Properties (2nd Edition)

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.

a. The speed of the ball at the lowest point of its path. b. The speed of the ball at the top of the given circular path about the peg.