EBK PHYSICS
5th Edition
ISBN: 8220103026918
Author: Walker
Publisher: PEARSON
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Chapter 13, Problem 31PCE
An object moves with
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Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.5 m with a period of 13 s.
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Express your answer using one significant figure.
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A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.54 Hz. At t =0 s, the mass is at x= 4.2 m and has vx =− 1.5 m/s. What is the amplitude (In meters)?
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Chapter 13 Solutions
EBK PHYSICS
Ch. 13.1 - If the frequency of an oscillator is halved, by...Ch. 13.2 - Prob. 2EYUCh. 13.3 - An object moves with simple harmonic motion about...Ch. 13.4 - Rank the four massspring systems in Figure 13-15...Ch. 13.5 - The total mechanical energy of an ideal...Ch. 13.6 - Rank the four pendulum systems in Figure 13-25 in...Ch. 13.7 - The amplitude of a damped oscillation decreases...Ch. 13.8 - When you drive a pendulum at a frequency f1, you...Ch. 13 - A basketball player dribbles a ball with a steady...Ch. 13 - A person rides on a Ferris wheel that rotates with...
Ch. 13 - An air-track cart bounces back and forth between...Ch. 13 - If a mass m and a mass 2m oscillate on identical...Ch. 13 - An object oscillating with simple harmonic motion...Ch. 13 - The position of an object undergoing simple...Ch. 13 - The pendulum bob in Figure 13-18 leaks sand onto...Ch. 13 - A person in a rocking chair completes 12 cycles in...Ch. 13 - While fishing for catfish, a fisherman suddenly...Ch. 13 - If you dribble a basketball with a frequency of...Ch. 13 - You take your pulse and observe 74 heartbeats in a...Ch. 13 - BIO Slow-Motion Dragonfly A frame-by-frame...Ch. 13 - Predict/Calculate (a) Your heart beats with a...Ch. 13 - You rev your cars engine to 3300 rpm (rev/min)....Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - A mass moves back and forth in simple harmonic...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - The position of a mass oscillating on a spring is...Ch. 13 - A position-versus-time plot for an object...Ch. 13 - A mass on a spring oscillates with simple harmonic...Ch. 13 - A mass oscillates on a spring with a period of...Ch. 13 - Predict/Calculate Molecular Oscillations An atom...Ch. 13 - A mass oscillates on a spring with a period T and...Ch. 13 - The position of a mass on a spring is given by x =...Ch. 13 - Predict/Calculate A mass attached to a spring...Ch. 13 - A lawn sprinkler oscillates with simple harmonic...Ch. 13 - A ball rolls on a circular track of radius 0.62 m...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - A child rocks back and forth on a porch swing with...Ch. 13 - Predict/Calculate A 30.0-g goldfinch lands on a...Ch. 13 - BIO Tuning Forks in Neurology Tuning forks are...Ch. 13 - A vibrating structural beam in a spacecraft can...Ch. 13 - A peg on a turntable moves with a constant...Ch. 13 - The pistons in an internal combustion engine...Ch. 13 - Vomit Comet NASA trains astronauts to deal with...Ch. 13 - A 0.84-kg air cart is attached to a spring and...Ch. 13 - Predict/Calculate A person rides on a mechanical...Ch. 13 - An object moves with simple harmonic motion of...Ch. 13 - An object executing simple harmonic motion has a...Ch. 13 - Predict/Explain If a mass m is attached to a given...Ch. 13 - Predict/Explain An old car with worn-out shock...Ch. 13 - Predict/Explain The two blocks in Figure 13-34...Ch. 13 - A 0.49-kg mass attached to a spring undergoes...Ch. 13 - A freshly caught catfish is placed on a spring...Ch. 13 - System A consists of a mass m attached to a spring...Ch. 13 - Find the periods of block 1 and block 2 in Figure...Ch. 13 - When a 0.62-kg mass is attached to a vertical...Ch. 13 - A spring with a force constant of 82 N/m is...Ch. 13 - A bunch of grapes is placed in a spring scale at a...Ch. 13 - Two people with a combined mass of 125 kg hop into...Ch. 13 - A 0.95-kg mass attached to a vertical spring of...Ch. 13 - When a 0.184-kg mass is attached to a vertical...Ch. 13 - Predict/Calculate The springs of a 511-kg...Ch. 13 - Predict/Calculate If a mass m is attached to a...Ch. 13 - A 0.285-kg mass is attached to a spring with a...Ch. 13 - A 1.6-kg mass attached to a spring oscillates with...Ch. 13 - Predict/Calculate A 0.40-kg mass is attached to a...Ch. 13 - Prob. 51PCECh. 13 - BIO Astronaut Mass An astronaut uses a Body Mass...Ch. 13 - Predict/Calculate A 0.505-kg block slides on a...Ch. 13 - A 3.55-g bullet embeds itself in a 1.47-kg block,...Ch. 13 - Metronomes, such as the penguin shown in Figure...Ch. 13 - Predict/Explain A grandfather clock keeps correct...Ch. 13 - An observant fan at a baseball game notices that...Ch. 13 - A simple pendulum of length 2.3 m makes 5.0...Ch. 13 - United Nations Pendulum A large pendulum with a...Ch. 13 - Predict/Calculate If the pendulum in the previous...Ch. 13 - A Hula Hoop hangs from a peg. Find the period of...Ch. 13 - A fireman tosses his 0.98-kg hat onto a peg, where...Ch. 13 - Predict/Calculate Consider a meterstick that...Ch. 13 - On the construction site for a new skyscraper, a...Ch. 13 - BIO (a) Find the period of a childs leg as it...Ch. 13 - Suspended from the ceiling of an elevator is a...Ch. 13 - CE An object undergoes simple harmonic motion with...Ch. 13 - CE If the amplitude of a simple harmonic...Ch. 13 - CE A mass m is suspended from the ceiling of an...Ch. 13 - CE A pendulum of length L is suspended from the...Ch. 13 - A 1.3-kg mass is attached to a spring with a force...Ch. 13 - BIO Measuring an Astronauts Mass An astronaut uses...Ch. 13 - Sunspot Observations Sunspots vary in number as a...Ch. 13 - BIO Weighing a Bacterium Scientists are using...Ch. 13 - CE An object undergoing simple harmonic motion...Ch. 13 - The maximum speed of a 4.1-kg mass attached to a...Ch. 13 - The acceleration of a block attached to a spring...Ch. 13 - Helioseismology In 1962, physicists at Cal Tech...Ch. 13 - Predict/Calculate A 9.50-g bullet, moving...Ch. 13 - BIO Spiderweb Oscillations A 1.44-g spider...Ch. 13 - A service dog tag (Figure 13-40) is a circular...Ch. 13 - Calculate the ratio of the kinetic energy to the...Ch. 13 - A 0.340-kg mass slides on a frictionless floor...Ch. 13 - A shock absorber is designed to quickly damp out...Ch. 13 - Predict/Calculate Figure 13-41 shows a...Ch. 13 - Predict/Calculate A 3.2-kg mass on a spring...Ch. 13 - A 0.45-kg crow lands on a slender branch and bobs...Ch. 13 - A mass m is connected to the bottom of a vertical...Ch. 13 - Predict/Calculate Consider the pendulum shown in...Ch. 13 - An object undergoes simple harmonic motion of...Ch. 13 - A physical pendulum consists of a light rod of...Ch. 13 - Predict/Calculate A vertical hollow tube is...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - BIO A Cricket Thermometer, by Jiminy Insects are...Ch. 13 - Predict/Calculate Referring to Example 13-5...Ch. 13 - Predict/Calculate Referring to Example 13-12...Ch. 13 - Predict/Calculate Referring to Example 13-12 (a)...
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- A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.arrow_forwardFor each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3arrow_forwardA uniform annular ring of mass m and inner and outer radii a and b, respectively, is pivoted around an axis perpendicular to the plane of the ring at point P (Fig. P16.35). Determine its period of oscillation. FIGURE P16.35arrow_forward
- The equation of motion of a simple harmonic oscillator is given by x(t) = (18.0 cm) cos (10t) (16.0 cm) sin (10t), where t is in seconds. a. Find the amplitude. b. Determine the period. c. Determine the initial phase.arrow_forwardWe do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.arrow_forwardA simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.arrow_forward
- A sphere moves in simple harmonic motion with a frequency of 1.00 Hz and an amplitude of 4.90 cm. What is the maximum magnitude of acceleration (in m/s2) of the sphere? Where in the motion does the maximum acceleration occur?arrow_forwardA block with weight W is suspended on an arc plane seen in the figure. After the block is pulled down vertically, it is released. If the period of movement is 2 seconds and the amplitude of the movement is 0.045 meters, what is the maximum acceleration of the block? k1 = 120N / marrow_forwardThe acceleration of an oscillator undergoing simple harmonic motion is described by the equation az(t)=-(14m/s²)cos(18t). Where the time t is measured on second 1. What is the amplitude of this oscillator?arrow_forward
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