Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Textbook Question
Chapter 1.5, Problem 3E
If the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?
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Chapter 1 Solutions
Modern Physics
Ch. 1.2 - Prob. 1ECh. 1.2 - Exercise 2 Conservation of Linear Momentum Is...Ch. 1.5 - If the speed of the observer is increased by 5.0%,...Ch. 1.5 - If the ship moves past the observer at 0.01000c,...Ch. 1.6 - Prob. 5ECh. 1 - What two measurements will two observers in...Ch. 1 - A spaceship in the shape of a sphere moves past an...Ch. 1 - An astronaut moves away from Earth at a speed...Ch. 1 - Two identically constructed clocks are...Ch. 1 - Two lasers situated on a moving spacecraft are...
Ch. 1 - Prob. 6QCh. 1 - When we speak of time dilation, do we mean that...Ch. 1 - Prob. 8QCh. 1 - Prob. 9QCh. 1 - It is said that Einstein, in his teenage years,...Ch. 1 - Prob. 11QCh. 1 - What happens to the density of an object as its...Ch. 1 - In a lab frame of reference, an observer finds...Ch. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - An airplane flying upwind, downwind, and crosswind...Ch. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - A clock on a moving spacecraft runs 1 s slower per...Ch. 1 - A meter stick moving in a direction parallel to...Ch. 1 - A spacecraft moves at a speed of 0.900c. If its...Ch. 1 - The average lifetime of a pi meson in its own...Ch. 1 - An atomic clock is placed in a jet airplane. The...Ch. 1 - An astronaut at rest on Earth has a heartbeat rate...Ch. 1 - The muon is an unstable particle that...Ch. 1 - A rod of length L0 moves with a speed v along the...Ch. 1 - The classical Doppler shift for light. A light...Ch. 1 - Calculate, for the judge, how fast you were going...Ch. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Two spaceships approach each other, each moving...Ch. 1 - Prob. 20PCh. 1 - An observer on Earth observes two spacecraft...Ch. 1 - Speed of light in a moving medium. The motion of a...Ch. 1 - An observer in frame S sees lightning...Ch. 1 - As seen from Earth, two spaceships A and B are...Ch. 1 - Prob. 25PCh. 1 - The proper length of one spaceship is three times...Ch. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - A spaceship moves away from Earth at a speed v and...Ch. 1 - An observer in a rocket moves toward a mirror at...Ch. 1 - A physics professor on Earth gives an exam to her...Ch. 1 - A yet-to-be-built spacecraft starts from Earth...Ch. 1 - Suppose our Sun is about to explode. In an effort...Ch. 1 - Two powerless rockets are on a collision course....Ch. 1 - Prob. 35PCh. 1 - Suzanne observes two light pulses to be emitted...Ch. 1 - An observer in reference frame S sees two events...Ch. 1 - A spacecraft is launched from the surface of the...Ch. 1 - An Earth satellite used in the Global Positioning...Ch. 1 - Prob. 40P
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- 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_forwardAn 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_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_forward
- Check Your Understanding An engineer builds two simple pendulums. Both are suspended from small wires secured to the ceiling of a room. Each pendulum hovers 2 cm above the floor. Pendulum 1 has a bob with a mass of 10 kg. Pendulum 2 has a bob with a mass of 100 kg. Describe how the motion of the pendulums will differ if the bobs are both displaced by 12°.arrow_forwardA grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?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
- What is the length of a pendulum that has a period of 0.500 s?arrow_forwardIf the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)−1] times the frequency of the corresponding undamped oscillator.arrow_forwardIf 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_forward
- A 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 oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, e'max, is tt s^(-1). What is the time needed for the pendulum to complete two oscillations? 4 sec 2 sec 1 sec 0.5 sec 0.25secarrow_forwardTen measurements of the period of a simple pendulum were as follows: 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s (1) Calculate the standard deviation (SD) of the measurement results, and the standard error which is given by:standard error = SD/narrow_forward
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