College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 16, Problem 31PE
Find the ratio of the new/old periods of a pendulum if the pendulum were transported from Earth to the Moon, where the acceleration due to gravity is
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Chapter 16 Solutions
College Physics
Ch. 16 - Describe a system in which elastic potential...Ch. 16 - What conditions must be met to produce simple...Ch. 16 - (a) If frequency is not constant for some...Ch. 16 - Give an example of a simple harmonic oscillator,...Ch. 16 - Explain why you expect an object made of a stiff...Ch. 16 - As you pass freight truck with a trailer on a...Ch. 16 - Some people modify cars to be much closet to me...Ch. 16 - Pendulum clocks are made to run at the correct...Ch. 16 - Explain in terms of energy how dissipative forces...Ch. 16 - Give an example of a damped harmonic oscillator....
Ch. 16 - How would a car bounce after a bump under each of...Ch. 16 - Most harmonic oscillators are damped and, if...Ch. 16 - Why are soldiers in general ordered to “route...Ch. 16 - Give one example of a transverse wave and another...Ch. 16 - What is the difference between propagation speed...Ch. 16 - Speakers in stereo systems have two colorcoded...Ch. 16 - Two identical waves undergo pure constructive...Ch. 16 - Circular water waves decrease in amplitude as they...Ch. 16 - Fish ate hung on a spring scale to determine their...Ch. 16 - It is weighin time for the local under85kg rugby...Ch. 16 - One type of BB gun uses a spring-driven plunger to...Ch. 16 - (a) The springs of a pickup truck act like a...Ch. 16 - When an 80.0kg man stands on a pogo stick, the...Ch. 16 - A spring has a length of 0.200 m when a 0.300kg...Ch. 16 - What is the period of 60.0 Hz electrical power?Ch. 16 - If your heart rate is 150 beats per minute during...Ch. 16 - Find the frequency of a tuning fork that takes...Ch. 16 - A stroboscope is set to flash every 8.00105s. What...Ch. 16 - A tire has a tread pattern with a crevice every...Ch. 16 - Engineering Application Each piston of an engine...Ch. 16 - A type of cuckoo clock keeps time by having a mass...Ch. 16 - If the spring constant of a simple harmonic...Ch. 16 - A 0.500kg mass suspended from a spring oscillates...Ch. 16 - By how much leeway (both percentage and mass)...Ch. 16 - Suppose you attach the object with mass m to a...Ch. 16 - A diver on a diving board is undergoing simple...Ch. 16 - Suppose a diving beard wi1h no one on it bounces...Ch. 16 - Figure 15.46 This child’s toy relies on springs to...Ch. 16 - A 90.0kg skydiver hanging from a parachute bounces...Ch. 16 - What is the leng1h of a pendulum that has a period...Ch. 16 - Some people think a pendulum with a period of 1.00...Ch. 16 - What is the period of a 1.00mlong pendulum?Ch. 16 - How long does it take a child on a swing to...Ch. 16 - The pendulum on a cuckoo clock is 5.00 cm long....Ch. 16 - Two parakeets sit on a swing with their combined...Ch. 16 - (a) A pendulum that has a period of 3.00000 s and...Ch. 16 - A pendulum with a period of 2.00000 s in one...Ch. 16 - (a) What is the effect on the period of a pendulum...Ch. 16 - Find the ratio of the new/old periods of a...Ch. 16 - At what rate will a pendulum clock run on me Moon,...Ch. 16 - Suppose the length of a clock’s pendulum is...Ch. 16 - If a pendulumdriven clock gains 5.00 s/day, what...Ch. 16 - The length of nylon rope from which a mountain...Ch. 16 - Engineering Application Near the top of the...Ch. 16 - (a) What is me maximum 1nreluzmcity at an 85.0kg...Ch. 16 - A novelty clock has a 0.0100kg mass object...Ch. 16 - At what positions is the speed of a simple...Ch. 16 - A ladybug sits 12.0 cm from the center of a...Ch. 16 - The amplitude of a lightly damped oscillator...Ch. 16 - How much energy must the shock absorbers of a...Ch. 16 - If a car has a suspension system with a force...Ch. 16 - (a) How much will a spring that has a force...Ch. 16 - Suppose you have a 0.750kg object on a horizontal...Ch. 16 - Engineering Application: A suspension bridge...Ch. 16 - Stems in the South Pacific can create waves that...Ch. 16 - Waves on a swimming pool propagate at 0.750m/s....Ch. 16 - Wind gusts create ripples on the ocean that have a...Ch. 16 - How many times a minute does a boat bob up and...Ch. 16 - Scouts at a camp shake the rope bridge may have...Ch. 16 - What is the wavelength of the waves you create in...Ch. 16 - What is the wavelength of an earthquake that...Ch. 16 - Radio waves transmitted through space at...Ch. 16 - Your ear is capable of differentiating sounds that...Ch. 16 - (a) Seismographs measure the arrival times of...Ch. 16 - A car has two horns, one emitting a frequency of...Ch. 16 - The middleChammer of a piano hits two strings,...Ch. 16 - Two tuning forks having frequencies of 460 and 464...Ch. 16 - Twin jet engines on an airplane are producing an...Ch. 16 - A wave traveling on a Slinky® mat is stretched to...Ch. 16 - Three adjacent keys on a piano (F, F—sharp, and G)...Ch. 16 - Medical Application Ultrasound of intensity...Ch. 16 - The low-frequency speaker of a stereo set hag a...Ch. 16 - To increase intensity of a wave by a factor of 50,...Ch. 16 - Engineering Application A device called an...Ch. 16 - Astronomy Application Energy from the Sun arrives...Ch. 16 - Suppose you have a device that extracts energy...Ch. 16 - Engineering Application (a) A photovoltaic array...Ch. 16 - A microphone receiving a pure sound tone feeds an...Ch. 16 - Medical Application (a) What is the intensity in...Ch. 16 - Prob. 1TPCh. 16 - Prob. 2TPCh. 16 - Prob. 3TPCh. 16 - Prob. 4TPCh. 16 - Prob. 5TPCh. 16 - Prob. 6TPCh. 16 - Prob. 7TPCh. 16 - Prob. 8TPCh. 16 - Prob. 9TPCh. 16 - Prob. 10TPCh. 16 - Prob. 11TPCh. 16 - Prob. 12TPCh. 16 - Prob. 13TPCh. 16 - Prob. 14TPCh. 16 - Prob. 15TPCh. 16 - Prob. 16TPCh. 16 - Prob. 17TPCh. 16 - Prob. 18TPCh. 16 - Prob. 19TPCh. 16 - Prob. 20TPCh. 16 - Prob. 21TPCh. 16 - Prob. 22TPCh. 16 - Prob. 23TPCh. 16 - Prob. 24TPCh. 16 - Prob. 25TPCh. 16 - Prob. 26TPCh. 16 - Prob. 27TPCh. 16 - Prob. 28TPCh. 16 - Prob. 29TPCh. 16 - Prob. 30TP
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- If the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?arrow_forwardA pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?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_forward
- The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.arrow_forwardSome people think a pendulum with a period of 1.00 s can be driven with “mental energy” or psycho kinetically, because its period is the same as an average heartbeat. True or not, what is the length of such a pendulum?arrow_forwardWhich 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_forward
- An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is measured and recorded as T. The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion? (a) 2T (b) 2T (c) T (d) T/2 (e) T/2arrow_forwardA small object is attached to the end of a string to form a simple pendulum. The period of its harmonic motion is measured for small angular displacements and three lengths. For lengths of 1.000 m, 0.750 m, and 0.500 m, total time intervals for 50 oscillations of 99.8 s, 86.6 s, and 71.1s are measured with a stopwatch. (a) Determine the period of motion for each length. (b) Determine the mean value of g obtained from these three independent measurements and compare it with the accepted value. (c) Plot T2 versus L and obtain a value for g from the slope of your best-fit straight-line graph. (d) Compare the value found in part (c) with that obtained in part (b).arrow_forwardWhat is the length of a pendulum that has a period of 0.500 s?arrow_forward
- If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? (a) It doubles. (b) It becomes 2 times as large. (c) It becomes half as large. (d) It becomes 1/2 times as large. (e) It remains the same.arrow_forwardAn object of mass m moves in simple harmonic motion with amplitude 12.0 cm on a light spring. Its maximum acceleration is 108 cm/s2. Regard m as a variable. (a) Find the period T of the object. (b) Find its frequency f. (c) Find the maximum speed vmax of the object. (d) Find the total energy E of the objectspring system. (e) Find the force constant k of the spring. (f) Describe the pattern of dependence of each of the quantities T, f, vmax, E, and k on m.arrow_forwardAn automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100 kg of passengers. It is driven with a constant horizontal component of speed 20 km/h over a washboard road with sinusoidal bumps. The amplitude and wavelength of the sine curve are 5.0 cm and 20 cm, respectively. The distance between the front and back wheels is 2.4 m. Find the amplitude of oscillation of the automobile, assuming it moves vertically as an undamped driven harmonic oscillator. Neglect the mass of the wheels and springs and assume that the wheels are always in contact with the road.arrow_forward
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