COLLEGE PHYSICS,V.1-W/ENH.WEBASSIGN
10th Edition
ISBN: 9781305411906
Author: SERWAY
Publisher: CENGAGE L
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Chapter 13, Problem 14P
An object-spring system moving with
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Chapter 13 Solutions
COLLEGE PHYSICS,V.1-W/ENH.WEBASSIGN
Ch. 13.1 - A block on the end of a horizontal spring is...Ch. 13.1 - For a simple harmonic oscillator, which of the...Ch. 13.2 - When an object moving in simple harmonic motion is...Ch. 13.3 - An object of mass m is attached to a horizontal...Ch. 13.3 - Prob. 13.5QQCh. 13.4 - If the amplitude of a system moving in simple...Ch. 13.5 - A simple pendulum is suspended from the ceiling of...Ch. 13.5 - A pendulum dork depends on the period of a...Ch. 13.5 - The period of a simple pendulum is measured to be...Ch. 13 - An objectspring system undergoes simple harmonic...
Ch. 13 - If an objectspring system is hung vertically and...Ch. 13 - The spring in Figure CQ13.3 is stretched from its...Ch. 13 - If the spring constant shown in Figure CQ13.3 is...Ch. 13 - If the spring shown in Figure CQ13.3 is com...Ch. 13 - If a spring is cut in half, what happens to its...Ch. 13 - A pendulum bob is made from a sphere filled with...Ch. 13 - A block connected to a horizontal spring is in...Ch. 13 - (a) Is a bouncing ball an example of simple...Ch. 13 - If a grandfather clock were running slow, how...Ch. 13 - What happens to the speed of a wave on a string...Ch. 13 - Prob. 12CQCh. 13 - Waves are traveling on a uniform string under...Ch. 13 - Identify each of the following waves as either...Ch. 13 - A block, of mass m = 0.60 kg attached to a spring...Ch. 13 - A spring oriented vertically is attached to a hard...Ch. 13 - The force constant of a spring is 137 N/m. Find...Ch. 13 - A spring is hung from a ceiling, and an object...Ch. 13 - A biologist hangs a sample of mass 0.725 kg on a...Ch. 13 - An archer must exert a force of 375 N on the...Ch. 13 - A spring 1.50 m long with force constant 475 N/m...Ch. 13 - A block of mass m = 2.00 kg is attached to a...Ch. 13 - A slingshot consists of a light leather cup...Ch. 13 - An archer pulls her bowstring back 0.400 m by...Ch. 13 - A student pushes the 1.50-kg block in Figure...Ch. 13 - An automobile having a mass of 1.00 103 kg is...Ch. 13 - A 10.0-g bullet is fired into, and embeds itself...Ch. 13 - An object-spring system moving with simple...Ch. 13 - A horizontal block-spring system with the block on...Ch. 13 - A 0.250-kg block attached to a light spring...Ch. 13 - A block-spring system consists of a spring with...Ch. 13 - A 0.40-kg object connected to a light spring with...Ch. 13 - At an outdoor market, a bunch of bananas attached...Ch. 13 - A student stretches a spring, attaches a 1.00-kg...Ch. 13 - A horizontal spring attached to a wall has a force...Ch. 13 - An object moves uniformly around a circular path...Ch. 13 - The wheel in the simplified engine of Figure...Ch. 13 - The period of motion of an object-spring system is...Ch. 13 - A vertical spring stretches 3.9 cm when a 10.-g...Ch. 13 - When four people with a combined mass of 320 kg...Ch. 13 - The position of an object connected to a spring...Ch. 13 - A harmonic oscillator is described by the function...Ch. 13 - A 326-g object is attached to a spring and...Ch. 13 - An object executes simple harmonic motion with an...Ch. 13 - A 2.00-kg object on a frictionless horizontal...Ch. 13 - A spring of negligible mass stretches 3.00 cm from...Ch. 13 - Given that x = A cos (t) is a sinusoidal function...Ch. 13 - A man enters a tall tower, needing to know its...Ch. 13 - A simple pendulum has a length of 52.0 cm and...Ch. 13 - A seconds pendulum is one that moves through its...Ch. 13 - A clock is constructed so that it keeps perfect...Ch. 13 - A coat hanger of mass m = 0.238 kg oscillates on a...Ch. 13 - The free-fall acceleration on Mars is 3.7 m/s2....Ch. 13 - A simple pendulum is 5.00 in long. (a) What is the...Ch. 13 - The sinusoidal wave shown in Figure P13.41 is...Ch. 13 - An object attached to a spring vibrates with...Ch. 13 - Prob. 43PCh. 13 - The distance between two successive minima of a...Ch. 13 - A harmonic wave is traveling along a rope. It is...Ch. 13 - A bat can detect small objects, such as an insect,...Ch. 13 - Orchestra instruments are commonly tuned to match...Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Workers attach a 25.0-kg mass to one end of a...Ch. 13 - A piano siring of mass per unit length 5.00 103...Ch. 13 - A student taking a quiz finds on a reference sheet...Ch. 13 - Prob. 53PCh. 13 - An astronaut on the Moon wishes to measure the...Ch. 13 - A simple pendulum consists of a ball of mass 5.00...Ch. 13 - A string is 50.0 cm long and has a mass of 3.00 g....Ch. 13 - Tension is maintained in a string as in Figure...Ch. 13 - The elastic limit of a piece of steel wire is 2.70...Ch. 13 - A 2.65-kg power line running between two towers...Ch. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - The position of a 0.30-kg object attached to a...Ch. 13 - An object of mass 2.00 kg is oscillating freely on...Ch. 13 - Prob. 64APCh. 13 - A simple pendulum has mass 1.20 kg and length...Ch. 13 - A 0.500-kg block is released from rest and slides...Ch. 13 - A 3.00-kg object is fastened to a light spring,...Ch. 13 - A 5.00-g bullet moving with an initial speed of...Ch. 13 - A large block P executes horizontal simple...Ch. 13 - A spring in a toy gun has a spring constant of...Ch. 13 - A light balloon filled with helium of density...Ch. 13 - An object of mass m is connected to two rubber...Ch. 13 - Assume a hole is drilled through the center of the...Ch. 13 - Figure P13.74 shows a crude model of an insect...Ch. 13 - A 2.00-kg block hangs without vibrating at the end...Ch. 13 - A system consists of a vertical spring with force...
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- A 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250 s. The total energy of the system is 2.00 J. Find (a) the force constant of the spring and (b) the amplitude of the motion.arrow_forwardIn an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forwardThe total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73arrow_forward
- When a block of mass M, connected to the end of a spring of mass ms = 7.40 g and force constant k, is set into simple harmonic motion, the period of its motion is T=2M+(ms/3)k A two-part experiment is conducted with the use of blocks of various masses suspended vertically from the spring as shown in Figure P15.76. (a) Static extensions of 17.0, 29.3, 35.3, 41.3, 47.1, and 49.3 cm are measured for M values of 20.0, 40.0, 50.0, 60.0, 70.0, and 80.0 g, respectively. Construct a graph of Mg versus x and perform a linear least-squares fit to the data. (b) From the slope of your graph, determine a value for k for this spring. (c) The system is now set into simple harmonic motion, and periods are measured with a stopwatch. With M = 80.0 g, the total time interval required for ten oscillations is measured to be 13.41 s. The experiment is repeated with M values of 70.0, 60.0, 50.0, 40.0, and 20.0 g, with corresponding time intervals for ten oscillations of 12.52, 11.67, 10.67, 9.62, and 7.03 s. Make a table of these masses and times. (d) Compute the experimental value for T from each of these measurements. (e) Plot a graph of T2 versus M and (f) determine a value for k from the slope of the linear least-squares fit through the data points. (g) Compare this value of k with that obtained in part (b). (h) Obtain a value for ms from your graph and compare it with the given value of 7.40 g.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_forwardThe mechanical energy of an undamped block-spring system is constant as kinetic energy transforms to elastic potential energy and vice versa. For comparison, explain what happens to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies.arrow_forward
- A spherical bob of mass m and radius R is suspended from a fixed point by a rigid rod of negligible mass whose length from the point of support to the center of the bob is L (Fig. P16.75). Find the period of small oscillation. N The frequency of a physical pendulum comprising a nonuniform rod of mass 1.25 kg pivoted at one end is observed to be 0.667 Hz. The center of mass of the rod is 40.0 cm below the pivot point. What is the rotational inertia of the pendulum around its pivot point?arrow_forwardA block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30.0 cm/s. Calculate (a) the mass of the block, (b) the period of the motion, and (c) the maximum acceleration of the block.arrow_forwardA blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.arrow_forward
- If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?arrow_forwardA pendulum of length L and mass M has a spring of force constant k connected to it at a distance h below its point of suspension (Fig. P15.55). Find the frequency of vibration of the system for small values of the amplitude (small ). Assume the vertical suspension rod of length L is rigid, but ignore its mass. Figure P15.35arrow_forwardA block of mass m is connected to two springs of force constants k1 and k2 in two ways as shown in Figure P12.56. In both cases, the block moves on a frictionless table after it is displaced from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods (a) T=2m(k1+k2)k1k2 and (b) T=2mk1+k2 Figure P12.56arrow_forward
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SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY