Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 1, Problem 3P
To determine
Show that as momentum is conserved in the rest frame, momentum is also conserved in the moving frame with a speed of
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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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- In a frame at rest with respect to the billiard table, a billiard ball of mass m moving with speed v strikes another billiard ball of mass m at rest. The first ball comes to rest after the collision while the second ball takes off with speed v in the original direction of the motion of the first ball. This shows that momentum is conserved in this frame. (a) Now, describe the same collision from the perspective of a frame that is moving with speed v in the direction of the motion of the first ball. (b) Is the momentum conserved in this frame?arrow_forwardAs measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.arrow_forwardA particle is moving at a speed of less than c/2. If the speed of the particle is doubled, what happens to its momentum?arrow_forward
- At what speed does a clock move if it is measured to run at a rate one-half the rate of a clock at rest with respect to an observer?arrow_forwardOwen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63arrow_forwardSuppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?arrow_forward
- As measured in a laboratory reference frame, a linear accelerator ejects a proton with a speed of 0.780c. Moments later, a muon is ejected at a speed of 0.920c as measured in the laboratory reference frame. What is the speed of the proton in a reference frame where the velocity of the muon is zero?arrow_forwardTwo astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?arrow_forwardHow does modern relativity modify the law of conservation of momentum?arrow_forward
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