University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 10, Problem 10.15DQ
A ball is rolling along al speed υ without slipping on a horizontal surface when it comes to a hill that rises at a constant angle above the horizontal. In which case will it go higher up the hill: if the hill has enough friction to prevent slipping or if the hill is perfectly smooth? Justify your answers in both cases in terms of energy conservation and in terms of Newton’s second law.
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As a solid disk rolls over the top of a hill on a track, its speed is 60 cm/s. If friction
losses are negligible, how fast is the disk moving when it is 12 cm below the top?
Releasing a frictionless box and a rolling disk with equal masses from the top of identical inclined planes, how much sooner does the box reach the bottom of the incline than the disk?
Express your answer in terms of some or all of the variables m, h, θ, and R, as well as g.
We know: The potential energy of the disk is converted into translational and rotational kinetic energy, so the translational speed grows more slowly than that of the box, which has no rotational energy.
Chapter 10 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 10.1 - The accompanying figure shows a force P being...Ch. 10.2 - The figure shows a glider of mass m1 that can...Ch. 10.3 - Suppose the solid cylinder used as a yo-yo in...Ch. 10.4 - You apply equal torques to two different...Ch. 10.5 - A ball is attached to one end of a piece of...Ch. 10.6 - If the polar ice caps were to melt completely due...Ch. 10.7 - Suppose the mass of the flywheel in Fig. 10.34 is...Ch. 10 - Can a single force applied to a body change both...Ch. 10 - Suppose you could use wheels of any type in the...Ch. 10 - Serious bicyclists say that if you reduce the...
Ch. 10 - The harder you hit the brakes while driving...Ch. 10 - When an acrobat walks on a tightrope, she extends...Ch. 10 - When you turn on an electric motor, it takes...Ch. 10 - The work done by a force is the product of force...Ch. 10 - A valued client brings a treasured ball to your...Ch. 10 - You make two versions of the same object out of...Ch. 10 - Two identical masses are attached to frictionless...Ch. 10 - The force of gravity acts on the baton in Fig....Ch. 10 - A certain solid uniform bail reaches a maximum...Ch. 10 - A wheel is rolling without slipping on a...Ch. 10 - A hoop, a uniform solid cylinder, a spherical...Ch. 10 - A ball is rolling along al speed without slipping...Ch. 10 - You are standing at the center of a large...Ch. 10 - Global Warming. If the earths climate continues to...Ch. 10 - It two spinning objects have the same angular...Ch. 10 - A student is sitting on a frictionless rotating...Ch. 10 - A point particle travels in a straight line at...Ch. 10 - In Example 10.10 (Section 10.6) the angular speed ...Ch. 10 - In Example 10.10 (Section 10.6) the rotational...Ch. 10 - As discussed in Section 10.6, the angular momentum...Ch. 10 - If you stop a spinning raw egg for the shortest...Ch. 10 - A helicopter has a large main rotor that rotates...Ch. 10 - In a common design for a gyroscope, the flywheel...Ch. 10 - A gyroscope is precessing about a vertical axis....Ch. 10 - A gyroscope takes 3.8 s to precess 1.0 revolution...Ch. 10 - A gyroscope is precessing as in Fig. 10.32. What...Ch. 10 - A bullet spins on its axis as it emerges from a...Ch. 10 - Calculate the torque (magnitude and direction)...Ch. 10 - Calculate the net torque about point O for the two...Ch. 10 - A square metal plate 0.180m on each side is...Ch. 10 - Three forces are applied to a wheel of radius...Ch. 10 - One force acting on a machine part is...Ch. 10 - A metal bar is in the xy-plane with one end of the...Ch. 10 - A machinist is using a wrench lo loosen a nut. The...Ch. 10 - A uniform disk with mass 40.0 kg and radius 0.200...Ch. 10 - The flywheel of an engine has moment of inertia...Ch. 10 - A cord is wrapped around ihe rim of a solid...Ch. 10 - A machine part has the shape of u solid uniform...Ch. 10 - CP A stone is suspended from the free end of a...Ch. 10 - Prob. 10.13ECh. 10 - CP A 15.0-kg bucket of water is suspended by a...Ch. 10 - A wheel rotates without friction about a...Ch. 10 - A 12.0-kg box resting on a horizontal,...Ch. 10 - A 2.20-kg hoop 1.20 m in diameter is rolling to...Ch. 10 - BIO Gymnastics. We can roughly model a gymnastic...Ch. 10 - What fraction of the total kinetic energy is...Ch. 10 - A siring is wrapped several times around the rim...Ch. 10 - A solid ball is released from rest and slides down...Ch. 10 - A hollow, spherical shell with mass 2.00 kg rolls...Ch. 10 - A 392-N wheel comes off a moving truck and rolls...Ch. 10 - A uniform marble rolls down a symmetrical bowl,...Ch. 10 - A thin, light string is wrapped around the outer...Ch. 10 - A Ball Rolling Uphill. A bowling ball rolls...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A size-5 soccer ball of diameter 22.6 cm and mass...Ch. 10 - A playground merry-go-round has radius 2.40 m and...Ch. 10 - An engine delivers 175 hp to an aircraft propeller...Ch. 10 - A 2.80-kg grinding wheel is in the form of a solid...Ch. 10 - An electric motor consumes 9.00 kJ of electrical...Ch. 10 - (a) Compute the torque developed by an industrial...Ch. 10 - An airplane propeller is 2.08 m in length (from...Ch. 10 - A 2.00-kg rock has a horizontal velocity of...Ch. 10 - A woman with mass 50 kg is standing on the rim of...Ch. 10 - Find the magnitude of the angular momentum of the...Ch. 10 - (a) Calculate the magnitude of the angular...Ch. 10 - CALC A hollow, thin-walled sphere of mass 12.0 kg...Ch. 10 - CP A small block on a frictionless, horizontal...Ch. 10 - Prob. 10.41ECh. 10 - A diver comes off a board with arms straight up...Ch. 10 - The Spinning Figure Skater. The outstretched hands...Ch. 10 - A solid wood door 1.00 m wide and 2.00 m high is...Ch. 10 - A large wooden turntable in the shape of a flat...Ch. 10 - Asteroid Collision! Suppose that an asteroid...Ch. 10 - Prob. 10.47ECh. 10 - A thin uniform rod has a length of 0.500 m and is...Ch. 10 - A thin, uniform metal bar. 2.00 m long and...Ch. 10 - A uniform. 4.5-kg, square, solid wooden gate 1.5 m...Ch. 10 - The rotor (flywheel) of a loy gyroscope has mass...Ch. 10 - A Gyroscope on the Moon. A certain gyroscope...Ch. 10 - Stabilization of the Hubble Space Telescope. The...Ch. 10 - A 50.0-kg grindstone is a solid disk 0.520 m in...Ch. 10 - 10.55A grindstone in the shape of a solid disk...Ch. 10 - A uniform, 8.40-kg, spherical shell 50.0 cm in...Ch. 10 - A thin, uniform. 3.80-kg bar, 80.0 cm long, has...Ch. 10 - You are designing a simple elevator system for an...Ch. 10 - The Atwoods Machine. Figure P10.59 illustrates an...Ch. 10 - The mechanism shown in Fig. P10.60 is used to...Ch. 10 - A large 16.0-kg roll of paper with radius R = 18.0...Ch. 10 - A block with mass m = 5.00 kg slides down a...Ch. 10 - Two metal disks, one with radius R1 = 2.50 cm and...Ch. 10 - A lawn roller in the form of a thin-walled, hollow...Ch. 10 - Two weights are connected by a very light,...Ch. 10 - You complain about fire safety to the landlord of...Ch. 10 - The Yo-yo. A yo-yo is made from two uniform disks,...Ch. 10 - CP A thin-walled, hollow spherical shell of mass m...Ch. 10 - A basketball (which can be closely modeled as a...Ch. 10 - CP A solid uniform ball rolls without slipping up...Ch. 10 - Rolling Stones. A solid, uniform, spherical...Ch. 10 - You are designing a system for moving aluminum...Ch. 10 - A 42.0-cm-diameter wheel, consisting of a rim and...Ch. 10 - A uniform, 0.0300-kg rod of length 0.400 in...Ch. 10 - A uniform solid cylinder with mass M and radius 2R...Ch. 10 - Tarzan and Jane in the 21st Century. Tarzan has...Ch. 10 - A 5.00-kg ball is dropped from a height of 12.0 m...Ch. 10 - The solid wood door of a gymnasium is 1.00 m wide...Ch. 10 - A uniform rod of length L rests on a friction less...Ch. 10 - CP A large turntable with radius 6.00 m rotates...Ch. 10 - In your job as a mechanical engineer you are...Ch. 10 - A local ice hockey team has asked you to design an...Ch. 10 - You are designing a slide for a water park. In a...Ch. 10 - Neutron Star Glitches. Occasionally, a rotating...Ch. 10 - A 500.0-g bird is flying horizontally at 2.25 m/s,...Ch. 10 - CP A small block with mass 0.130 kg is attached to...Ch. 10 - A 55-kg runner runs around the edge of a...Ch. 10 - DATA The V6 engine in a 2014 Chevrolet Silverado...Ch. 10 - DATA You have one object of each of these shapes,...Ch. 10 - DATA You are testing a small flywheel (radius...Ch. 10 - CALC A block with mass m is revolving with linear...Ch. 10 - When an object is rolling without slipping, the...Ch. 10 - A demonstration gyroscope wheel is constructed by...Ch. 10 - The moment of inertia of the empty turntable is...Ch. 10 - While the turntable is being accelerated, the...Ch. 10 - A doubling of the torque produces a greater...Ch. 10 - If the bodys center of mass were not placed on the...
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