Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 33, Problem 23E
To determine
The speed at which Newtonian momentum has error by
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Chapter 33 Solutions
Essential University Physics (3rd Edition)
Ch. 33.2 - Prob. 33.1GICh. 33.4 - Triplets A and B board spaceships and head away...Ch. 33.5 - A comet plunges into the planet Jupiter. At the...Ch. 33.7 - The rest energy of a proton is 938 MeV. Without...Ch. 33 - Why was the Michelson-Morley experiment a more...Ch. 33 - Why was it necessary to repeat the...Ch. 33 - Prob. 3FTDCh. 33 - Does relativity require that the speed of sound be...Ch. 33 - Time dilation is sometimes described by saying...Ch. 33 - If youre in a spaceship moving at 0.95c relative...
Ch. 33 - The Andromeda Galaxy is 2 million light years from...Ch. 33 - Prob. 8FTDCh. 33 - Prob. 9FTDCh. 33 - The rest energy of an electron is 511 keV. Whats...Ch. 33 - An atom in an excited state emits a burst of...Ch. 33 - The quantity EB is invariant. What does this say...Ch. 33 - An airplane makes a round trip between two points...Ch. 33 - Consider a Michelson-Morley experiment with 11-m...Ch. 33 - Two stars are 50 ly apart, measured in their...Ch. 33 - How long would it take a spacecraft traveling at...Ch. 33 - A spaceship passes by you at half the speed of...Ch. 33 - An extraterrestrial spacecraft whizzes through the...Ch. 33 - How fast would you have to move relative to a...Ch. 33 - A hospitals linear accelerator produces electron...Ch. 33 - Prob. 21ECh. 33 - At what speed will the momentum of a proton (mass...Ch. 33 - Prob. 23ECh. 33 - A particle is moving at 0.90c. If its speed...Ch. 33 - Find (a) the total energy and (b) the kinetic...Ch. 33 - At what speed will the relativistic and Newtonian...Ch. 33 - Show that the time of Equation 33.2 is longer than...Ch. 33 - Youre designing a Michelson interferometer in...Ch. 33 - Earth and Sun are 8.3 light minutes apart, as...Ch. 33 - Youre the communications officer on a fast...Ch. 33 - You wish to travel to a star N light years from...Ch. 33 - The nearest star beyond our solar system is about...Ch. 33 - Twins A and B live on Earth. On their 20th...Ch. 33 - Radioactive oxygen-15 decays at such a rate that...Ch. 33 - Two distant galaxies are receding from Earth at...Ch. 33 - Two spaceships are racing. The slower one passes...Ch. 33 - Use relativistic velocity addition to show that if...Ch. 33 - Earth and Sun arc 8.33 light minutes apart. Event...Ch. 33 - Youre writing a galactic history involving two...Ch. 33 - Repeat Problem 39, now assuming that civilization...Ch. 33 - Could there be observers who would judge the two...Ch. 33 - Could there be observers who would judge the two...Ch. 33 - The Curiosity rover touched down on Mars when...Ch. 33 - Derive the Lorentz transformations for time from...Ch. 33 - In the light box of Fig. 33.6, let event A be the...Ch. 33 - Youre a consultant for the director of a sci-fi...Ch. 33 - How fast would you have to go to reach a star 240...Ch. 33 - An advanced civilization has developed a spaceship...Ch. 33 - A spaceship travels at 0.80c from Earth to a star...Ch. 33 - Use Equation 33.6 to calculate the square of the...Ch. 33 - A light beam is emitted at event A and arrives at...Ch. 33 - Compare the momentum changes needed to boost a...Ch. 33 - Event A occurs at x = 0 and t = 0 in reference...Ch. 33 - When a particle's speed doubles, its momentum...Ch. 33 - Find (a) the speed and (b) the momentum of a...Ch. 33 - Prob. 56PCh. 33 - A large city consumes electrical energy at the...Ch. 33 - In a nuclear-fusion reaction, two deuterium nuclei...Ch. 33 - Find the kinetic energy of an electron moving at...Ch. 33 - Find the speed of an electron with kinetic energy...Ch. 33 - Use the binomial approximation (Appendix A) to...Ch. 33 - Prob. 62PCh. 33 - Show from the Lorentz transformations that the...Ch. 33 - Prob. 64PCh. 33 - Prob. 65PCh. 33 - The highest-energy cosmic rays ever detected are...Ch. 33 - When an objects speed increases by 5%, its...Ch. 33 - Use the Lorentz transformations to show that if...Ch. 33 - A source emitting light with frequency f moves...Ch. 33 - Equation 33.5a transforms the velocity u of an...Ch. 33 - Consider a relativistic particle of mass m moving...Ch. 33 - Find the speed of a particle whose relativistic...Ch. 33 - Its the 24th century, and you're a curator at the...Ch. 33 - Consider a line of positive charge with line...Ch. 33 - Prob. 75PCh. 33 - Youve been named captain of NASAs first...Ch. 33 - Youve been named captain of NASAs first...Ch. 33 - Youve been named captain of NASAs first...Ch. 33 - Youve been named captain of NASAs first...
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- One cosmic ray neuron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is in this situation? Discuss in terms of the equation given in part (a) of the previous problem.arrow_forwardThe muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 μs. Suppose the muons move at a speed of 0.95c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?arrow_forwardAn observer in a rocket moves toward a mirror at speed v relative to the reference frame labeled by S in Figure P1.30. The mirror is stationary with respect to S. A light pulse emitted by the rocket travels toward the mirror and is reflected back to the rocket. The front of the rocket is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the rocket. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the front of the rocket? Figure P1.30arrow_forward
- (a) What is the momentum of a 2000 kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that =1+(1/2)v2/c2 at low velocities.)arrow_forwardConsider an electron moving with speed 0.980c. a. What is the rest mass energy of this electron? b. What is the total energyof this electron? c. What is the kinetic energy of this electron?arrow_forward(a) What is the momentum of a 2000-kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that at low velocities.)arrow_forward
- Two 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(a) Suppose the speed of light were only 3000 m/s. A jet fighter moving toward a target on the ground at 800 m/s shoots bullets, each having a muzzle velocity of 1000 m/s. What are the bullets' velocity relative to the target? (b) If the speed of light was this small, would you observe relativistic effects in everyday life? Discuss.arrow_forwardIn 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_forward
- An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?arrow_forwardSuppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?arrow_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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