University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 14, Problem 14.12E
A small block is attached to an ideal spring and is moving in
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Chapter 14 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 14.1 - A body like that shown in Fig. 14.2 oscillates...Ch. 14.2 - A glider is attached to a spring as shown in Fig....Ch. 14.3 - (a) To double the total energy for a mass-spring...Ch. 14.4 - A block attached to a hanging ideal spring...Ch. 14.5 - When a body oscillating on a horizontal spring...Ch. 14.6 - The center of gravity of a simple pendulum of mass...Ch. 14.7 - An airplane is flying in a straight line at a...Ch. 14.8 - When driven at a frequency near its natural...Ch. 14 - An object is moving with SHM of amplitude A on the...Ch. 14 - Think of several examples in everyday life of...
Ch. 14 - Does a tuning fork or similar tuning instrument...Ch. 14 - A box containing a pebble is attached to an ideal...Ch. 14 - If a uniform spring is cut in half, what is the...Ch. 14 - A glider is attached to a fixed ideal spring and...Ch. 14 - Two identical gliders on an air track are...Ch. 14 - You are captured by Martians, taken into their...Ch. 14 - The system shown in Fig. 14.17 is mounted in an...Ch. 14 - If a pendulum has a period of 2.5 s on earth, what...Ch. 14 - A simple pendulum is mounted in an elevator. What...Ch. 14 - What should you do to the length of the string of...Ch. 14 - If a pendulum clock is taken to a mountaintop,...Ch. 14 - When the amplitude of a simple pendulum increases,...Ch. 14 - Prob. 14.15DQCh. 14 - At what point in the motion of a simple pendulum...Ch. 14 - Could a standard of time be based on the period of...Ch. 14 - For a simple pendulum, clearly distinguish between...Ch. 14 - In designing structures in an earthquake-prone...Ch. 14 - BIO (a) Music. When a person sings, his or her...Ch. 14 - If an object on a horizontal, frictionless surface...Ch. 14 - The tip of a tuning fork goes through 440 complete...Ch. 14 - The displacement of an oscillating object as a...Ch. 14 - A machine part is undergoing SUM with a frequency...Ch. 14 - BIO The wings of the blue-throated hummingbird...Ch. 14 - A 2.40-kg ball is attached to an unknown spring...Ch. 14 - In a physics lab, you attach a 0.200-kg air-track...Ch. 14 - When a body of unknown mass is attached to an...Ch. 14 - When a 0.750-kg mass oscillates on an ideal...Ch. 14 - An object is undergoing SHM with period 0.900 s...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A 2.00-kg. frictionless block is attached to an...Ch. 14 - Repeat Exercise 14.13, but assume that at t = 0...Ch. 14 - The point of the needle of a sewing machine moves...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - BIO Weighing Astronauts. This procedure has been...Ch. 14 - A 0.400-kg object undergoing SHM has ax = 1.80...Ch. 14 - On a frictionless, horizontal air track, a glider...Ch. 14 - A 0.500-kg mass on a spring has velocity as a...Ch. 14 - A 1.50-kg mass on a spring has displacement as a...Ch. 14 - BIO Weighing a Virus. In February 2004, scientists...Ch. 14 - CALC Jerk. A guitar string vibrates at a frequency...Ch. 14 - For the oscillating object in Fig. E14.4, what are...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A small block is attached to an ideal spring and...Ch. 14 - A 0.150-kg toy is undergoing SHM on the end of a...Ch. 14 - A harmonic oscillator has angular frequency and...Ch. 14 - A 0.500-kg glider, attached to the end of an ideal...Ch. 14 - A cheerleader waves her pom-pom in SHM with an...Ch. 14 - CP For the situation described in part (a) of...Ch. 14 - A block with mass m = 0.300 kg is attached to one...Ch. 14 - You are watching an object that is moving in SHM....Ch. 14 - A 2.00-kg frictionless block is attached to an...Ch. 14 - A 2.00-kg frictionless block attached to an ideal...Ch. 14 - A mass is oscillating with amplitude A at the end...Ch. 14 - A 175-g glider on a horizontal, frictionless air...Ch. 14 - A proud deep-sea fisherman hangs a 65.0-kg fish...Ch. 14 - A thrill-seeking cat with mass 4.00 kg is attached...Ch. 14 - A uniform, solid metal disk of mass 6.50 kg and...Ch. 14 - A certain alarm clock ticks four times each...Ch. 14 - A thin metal disk with mass 2.00 103 kg and...Ch. 14 - You want to find the moment of inertia of a...Ch. 14 - CALC The balance wheel of a watch vibrates with an...Ch. 14 - You pull a simple pendulum 0.240 m long to the...Ch. 14 - An 85.0-kg mountain climber plans to swing down,...Ch. 14 - A building in San Francisco has light fixtures...Ch. 14 - A Pendulum on Mars. A certain simple pendulum has...Ch. 14 - After landing on an unfamiliar planet, a space...Ch. 14 - In the laboratory, a student studies a pendulum by...Ch. 14 - A simple pendulum 2.00 m long swings through a...Ch. 14 - A small sphere with mass m is attached to a...Ch. 14 - Two pendulums have the same dimensions (length L)...Ch. 14 - We want to hang a thin hoop on a horizontal nail...Ch. 14 - A 1.80-kg connecting rod from a car engine is...Ch. 14 - Prob. 14.56ECh. 14 - The two pendulums shown in Fig. E14.57 each...Ch. 14 - CP A holiday ornament in the shape of a hollow...Ch. 14 - A 1.35-kg object is attached to a horizontal...Ch. 14 - A 50.0-g hard-boiled egg moves on the end of a...Ch. 14 - An unhappy 0.300-kg rodent, moving on the end of a...Ch. 14 - A mass is vibrating at the end of a spring of...Ch. 14 - A sinusoidally varying driving force is applied to...Ch. 14 - An object is undergoing SHM with period 0.300 s...Ch. 14 - An object is undergoing SHM with period 1.200 s...Ch. 14 - Four passengers with combined mass 250 kg compress...Ch. 14 - At the end of a ride at a winter-theme amusement...Ch. 14 - CP A block with mass M rests on a frictionless...Ch. 14 - A 1.50-kg, horizontal, uniform tray is attached to...Ch. 14 - CP A 10.0-kg mass is traveling to the right with a...Ch. 14 - An apple weighs 1.00 N. When you hang it from the...Ch. 14 - CP SHM of a Floating Object. An object with height...Ch. 14 - CP A square object of mass m is constructed of...Ch. 14 - An object with mass 0.200 kg is acted on by an...Ch. 14 - CALC A 2.00-kg bucket containing 10.0 kg of water...Ch. 14 - A uniform beam is suspended horizontally by two...Ch. 14 - A 5.00-kg partridge is suspended from a pear tree...Ch. 14 - A 0.0200-kg bolt moves with SHM that has an...Ch. 14 - CP SHM of a Butchers Scale. A spring of negligible...Ch. 14 - A 40.0-N force stretches a vertical spring 0.250...Ch. 14 - Dont Miss the Boat. While on a visit to Minnesota...Ch. 14 - CP An interesting, though highly impractical...Ch. 14 - CP A rifle bullet with mass 8.00 g and initial...Ch. 14 - CP Two uniform solid spheres, each with mass M =...Ch. 14 - CP In Fig. P14.85 the upper ball is released from...Ch. 14 - The Silently Ringing Bell. A large, 34.0-kg bell...Ch. 14 - CALC A slender, uniform, metal rod with mass M is...Ch. 14 - Two identical thin rods, each with mass m and...Ch. 14 - DATA A mass m is attached to a spring of force...Ch. 14 - DATA You hang various masses m from the end of a...Ch. 14 - DATA Experimenting with pendulums, you attach a...Ch. 14 - The Effective Force Constant of Two Springs. Two...Ch. 14 - CALC A Spring with Mass. The preceding problems in...Ch. 14 - BIO SEEING SURFACES AT THE NANOSCALE. One...Ch. 14 - In the model of Problem 14.94, what is the...Ch. 14 - By what percentage does the frequency of...
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- Which of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forwardA spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?arrow_forwardA spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.arrow_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 block of mass m rests on a frictionless, horizontal surface and is attached to two springs with spring constants k1 and k2 (Fig. P16.22). It is displaced to the right and released. Find an expression for the angular frequency of oscillation of the resulting simple harmonic motion. FIGURE P16.22 Problems 22 and 81.arrow_forwardA lightweight spring with spring constant k = 225 N/m is attached to a block of mass m1 = 4.50 kg on a frictionless, horizontal table. The blockspring system is initially in the equilibrium configuration. A second block of mass m2 = 3.00 kg is then pushed against the first block, compressing the spring by x = 15.0 cm as in Figure P16.77A. When the force on the second block is removed, the spring pushes both blocks to the right. The block m2 loses contact with the springblock 1 system when the blocks reach the equilibrium configuration of the spring (Fig. P16.77B). a. What is the subsequent speed of block 2? b. Compare the speed of block 1 when it again passes through the equilibrium position with the speed of block 2 found in part (a). 77. (a) The energy of the system initially is entirely potential energy. E0=U0=12kymax2=12(225N/m)(0.150m)2=2.53J At the equilibrium position, the total energy is the total kinetic energy of both blocks: 12(m1+m2)v2=12(4.50kg+3.00kg)v2=(3.75kg)v2=2.53J Therefore, the speed of each block is v=2.53J3.75kg=0.822m/s (b) Once the second block loses contact, the first block is moving at the speed found in part (a) at the equilibrium position. The energy 01 this spring-block 1 system is conserved, so when it returns to the equilibrium position, it will be traveling at the same speed in the opposite direction, or v=0.822m/s. FIGURE P16.77arrow_forward
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