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 27P
To determine
The speed of pion for it to travel 10.0 m with an average lifetime of 26.0 ns
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pion is an unstable sub-atomic particle commonly produced in high-energy physics experiments. How fast must a pion be moving on average to travel 25 m before it decays? The average lifetime, at rest, is 26.0 ns
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An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 70.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 15.0 years as measured in a rest frame. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (b) How far is the probe from Earth when its batteries fail as measured by mission control? (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? (d) For what total time after launch are data received from the probe by mission control? Note that radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.
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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- Spacecraft I, containing students taking a physics exam, approaches the Earth with a speed of 0.600c (relative to the Earth), while spacecraft II, containing professors proctoring the exam, moves at 0.280c (relative to the Earth) directly toward the students. If the professors stop the exam after 50.0 min have passed on their clock, for what time interval does the exam last as measured by (a) the students and (b) an observer on the Earth?arrow_forwardGive a physical argument showing that it is impossible to accelerate an object of mass m to the speed of light, even with a continuous force acting on it.arrow_forwardTwo powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially 2.52 × 1012 m apart as measured by Liz, an Earth observer, as shown in Figure P1.34. Both rockets are 50.0 m in length as measured by Liz. (a) What are their respective proper lengths? (b) What is the length of each rocket as measured by an observer in the other rocket? (c) According to Liz, how long before the rockets collide? (d) According to rocket 1, how long before they collide? (e) According to rocket 2, how long before they collide? (f) If both rocket crews are capable of total evacuation within 90 min (their own time), will there be any casualties? Figure P1.34arrow_forward
- Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.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_forward(a) Find the value of for the following situation. An astronaut measures the length of his spaceship to be 100 m, while an observer measures it to be 25.0 m. (b) What is the of the spaceship relative to Earth?arrow_forward
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