COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 25, Problem 66QAP
To determine
Einsteinian momentum and its Einsteinian kineticenergy for a proton
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An electron (rest mass 9.11 x 10^(-31) kg, charge is 1.60 x 10^(-19) C) is moving oppositie to an electric field of magnitude E = 5 x 10^5 N/C. All other forces are negligible in comparison to the electric fireld force. With the relativistic linear momentum p=γ mv, what is the magnitudes of momentum and of acceleration at the instants when v1=0.010c, v2=0.90c and v3=0.99c, where c=3 x 10^8 m/s
a. p1 = 2.7 x 10^(-24) kg.m/s; p2 = 5.6 x 10 ^(-22) kg.m/s; p3 = 1.9 x 10 ^(-21) kg.m/s
b. p1 = 2.7 x 10^(-24) kg.m/s; p2 = 5.6 x 10 ^(-22) kg.m/s; p3 = 2.9 x 10 ^(-21) kg.m/s
c. p1 = 2.9 x 10^(-24) kg.m/s; p2 = 5.6 x 10 ^(-22) kg.m/s; p3 = 1.9 x 10 ^(-21) kg.m/s
d. p1 = 2.7 x 10^(-24) kg.m/s; p2 = 6.5 x 10 ^(-22) kg.m/s; p3 = 1.9 x 10 ^(-21) kg.m/s
Unreasonable ResultsA spaceship is heading directly toward the Earth at a velocity of 0.800c . The astronaut on board claims that he can send a canister toward the Earth at 1.20c relative to the Earth. (a) Calculate the velocity the canister must have relative to the spaceship. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
The star of a distant solar system explodes as a supernova. At the moment of the explosion, anresting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explosiontravels with 25000 km/s towards the spaceship. To save the crew, the spacecra makes useof a special booster that uniformly accelerates at 150 m/s2 in the opposite direction.Determine if the crew manages to escape from the shock wave. (Neglect relativistic eects.)
Chapter 25 Solutions
COLLEGE PHYSICS
Ch. 25 - Prob. 1QAPCh. 25 - Prob. 2QAPCh. 25 - Prob. 3QAPCh. 25 - Prob. 4QAPCh. 25 - Prob. 5QAPCh. 25 - Prob. 6QAPCh. 25 - Prob. 7QAPCh. 25 - Prob. 8QAPCh. 25 - Prob. 9QAPCh. 25 - Prob. 10QAP
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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 dial radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.arrow_forwardAn 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 dial radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails.arrow_forwardTwo planets are on a collision course, heading directly towards each other at 0.250c. A spaceship sent from one planet approaches the second at 0.750c as seen by the second planet. What is the velocity of the ship relative to the first planet?arrow_forward
- Construct Your Own Problem Consider an astronaut traveling to another star at a relativistic velocity. Construct a problem in which you calculate the time for the trip as observed on the Earth and as observed by the astronaut. Also calculate the amount of mass that must be converted to energy to get the astronaut and ship to the velocity travelled. Among the things to be considered are the distance to the star, the velocity, and the mass of the astronaut and ship. Unless your instructor directs you otherwise, do not include any energy given to other masses, such as rocket propellants.arrow_forwardOur solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forwardThe cosmic rays of highest energy are protons that m have kinetic energy on the order of 1013 MeV. (a) As measured in the protons frame, what time interval would a proton of this energy require to trawl across the Milky Way galaxy, which has a proper diameter 105 ly? (b) From the point of view of the proton, how many kilometers across is the galaxy?arrow_forward
- An alien spaceship traveling 0.600c toward Earth launches a landing craft with an advance guard of purchasing agents. The lander travels in the same direction with a velocity 0.800c relative to the spaceship. As observed on Earth, the spaceship is 0.200 light-years from Earth when the lander is launched. (a) With what velocity is the lander observed to be approaching by observers on Earth? (b) What is the distance to Earth at the time of landcr launch, as observed by the aliens on the mother ship? (c) How long does it take the lander to reach Earth as observed by the aliens on the mother ship? (d) If the lander has a mass of 4.00 105 kg, what is its kinetic energy as observed in Earths reference frame?arrow_forwardUnreasonable Results A spaceship is heading directly toward the Earth at a velocity of 0.800c. The astronaut on board claims that he can send a canister toward the Earth at 1.20c relative to the Earth. (a) Calculate the velocity the canister must have relative to the spaceship. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardOne cosmic ray neutron 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 Epc in this situation? Discuss in terms of the equation given in part (a) of the previous problem.arrow_forward
- You are packing for a trip to another star, and on your journey you will be traveling at a speed of 0.99c. Can you sleep in a smaller cabin than usual, because you will be shorter when you lie down? Explain your answer.arrow_forwardThe identical twins Speedo and Goslo join a migration from Earth to Planet X, which is 20.0 light-years away in a reference frame in which both planets are at rest. The twins, of the same age, depart at the same time on different spacecraft. Speedos craft travels steadily at 0.950c, Goslos at 0.750c. Calculate the age difference between the twins after Goslos spacecraft lands on Planet X. Which twin is the older?arrow_forwardA physics professor on the Earth gives an exam to her students, who are in a spacecraft traveling at speed v relative to the Earth. The moment the craft passes the professor, she signals the start of the exam. She wishes her students to have a time interval T0 (spacecraft time) to complete the exam. Show that she should wait a time interval (Earth time) of T=T01/c1+/c before sending a light signal telling them to stop. (Suggestion: Remember that it takes some time for the second light signal to travel from the professor to the students.)arrow_forward
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