College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy, in the form of photons. In an antimatter-fueled spaceship, a staple of science fiction, the newly created photons are shot from the back of the ship, propelling it forward. Suppose such a ship has a mass of 2.00×10^6kg, and carries a mass of fuel equal to 4 % of its mass, or4.00×10^4kg of matter and an equal mass of antimatter.
What is the final speed of the ship, assuming it starts from rest, if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is negligible. One is a woman and one is a man. The woman moves away with a velocity of +2.0 m/s relative to the ice. The mass of the woman is 57 kg, and the mass of the man is 76 kg. Assuming that the speed of light is 3.5 m/s, so that the relativistic momentum must be used, find the recoil velocity of the man relative to the ice. (Hint: This problem is similar to Example 6 in Chapter 7.) Number i Unitsarrow_forwardStarting from rest, two skaters "push off" against each other on smooth level ice, where friction is negligible. One is a woman and one is a man. The woman moves away with a velocity of +2.2 m/s relative to the ice. The mass of the woman is 57 kg, and the mass of the man is 88 kg. Assuming that the speed of light is 2.8 m/s, so that the relativistic momentum must be used, find the recoil velocity of the man relative to the ice. (Hint: This problem is similar to Example 6 in Chapter 7.) Number i Unitsarrow_forwardTwo electrons are brought close together, to a distance of 75 pm apart. They are then both released from rest, accelerating and travelling away from one another. When the two particles are very far apart, how fast will they be going, in m/s?arrow_forward
- An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.60 x 10° -28 kg and that of the heavier fragment is 1.66 × 10° -27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?arrow_forwardA 200.0 kg rocket is launched directly upward from Earth at 9.00 km/s (rE = 6.38 x 10^6 m,mE = 5.98 x 10^24 kg, G = 6.67 x 10^-11)a) What altitude above Earth’s surface does the rocket reach? b) What is the binding energy at that altitude?arrow_forwardIn a proton linear accelerator, protons are accelerated to have a kinetic energy of 520 Me. What is the speed of these protons? (The rest mass of a proton is 1.67 × 10-27 kg.)arrow_forward
- 15 mc 4 mc The static energy Eo of a particle of mass m is one fourth of its total energy E. What is the particle's momentum in mc units? √3 mc 715 mc 3 mcarrow_forwardAn object is made of glass and has the shape of a cube 0.11 m on a side, according to an observer at rest relative to it. However, an observer moving at high speed parallel to one of the object's edges and knowing that the object's mass is 3.3 kg determines its density to be 9200 kg/m³, which is much greater than the density of glass. What is the moving observer's speed (in units of c) relative to the cube? Number i Units Lo- Rest frame of cube KLLO Rest frame of observerarrow_forwardAntimatter: When a particle and its anti-particle collide, energy and momentum are conserved. However, the particles can annihilate each other and produce two gamma rays - high energy photons. An electron and an anti-electron each have a rest mass of 9.11 × 10-31 kg. Suppose the particles are each accelerated to a speed of 0.98c in a particle accelerator with a length of 1543 m for a head on collision. (Each particle is moving at this speed with respect to the lab, and the particles are moving in opposite directions.) They collide head on and annihilate. What is the wavelength of the gamma rays produced in this collision?arrow_forward
- In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pu = (E, pi ), where E is the energy of the particle and pi is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by −p · uobs, where pu is the momentum of the particle and uuobs is the velocity of the observer in those coordinates.arrow_forwardJames (mass 81.0 kg) and Ramon (mass 57.0 kg) are 20.0 m apart on a frozen pond. Midway between them is a mug of their favorite beverage. They pull on the ends of a light rope stretched between them. Ramon pulls on the rope to give himself a speed of 1.10 m/s. What is James's speed? It must have the proper dimensions of speed.arrow_forwardAn unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and −0.861c, respectively. Find the masses of the fragments in kg. (Hint: Conserve both mass–energy and momentum.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON