A particle of some unknown rest mass mx, moving at +0.8c y relative to a stationary laboratory, collides head-on with another particle of rest mass mo, moving at – 0.6c âx relative to the same stationary lab frame. After the collision, the two particles stick together and stay stationary. (a) What is m, in terms of m,? (b) What is the mass of the final stationary object in terms of m,? (c) What is the change in kinetic energy in this collision, in terms of m,c²? 0,6c 0,8C

A particle of some unknown rest mass mx, moving at +0.8c y relative to a stationary laboratory, collides head-on with another particle of rest mass mo, moving at – 0.6c âx relative to the same stationary lab frame. After the collision, the two particles stick together and stay stationary. (a) What is m, in terms of m,? (b) What is the mass of the final stationary object in terms of m,? (c) What is the change in kinetic energy in this collision, in terms of m,c²? 0,6c 0,8C

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: What must be the speed of an electron for its relativistic kinetic energy to be equal to its rest…

A: The relativistic kinetic energy (KE) of the electron is equal to the rest energy (E).

Q: A beau real pi meson is a particle that can be created by accelerator beams. If one such particle…

A: Step:1 . π Meson is a particle that can be created by accelerator beams. . One such particle lives…

Q: s) A 40 m spacecraft with 30-year-old astronauts who has the mass 80 kg moves with velocity v-0.95c…

A: Time dilation equation t=γt0 Length contraction equation L=L0γ relativistic mass m=γm0 where…

Q: (b) Calculate the rest energy (i.e. v = 0), to the nearest MeV, of a single neutron (mn = 1.008…

A: Given data - rest mass of neutron (mn) = 1.008664u 1…

Q: An aircraft, 100 m long , moves by the Earth at 0.910c. (a) What is its length as measured by an…

A: a. write the expression for length contraction

Q: A particle of mass m is moving at a speed of 0.8c. It collides with and merges with another particle…

A: Write the given data with appropriate variables.

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.956c. Two micrometeorites…

A: Relative speed is the speed of an object with respect to other object. Velocity of frame in S' is…

Q: Two atomic particles approach each other in a head-on collision. Each particle has a mass of 1.73 x…

A: Given that speed of each particle and mass of each particle.Then We have to determine the value of…

Q: A particle of mass m1 has relativistic kinetic energy, Ek, equal to 2m1c^2. It collides with a…

A: The relativistic kinetic energy of a particle's mass is Second particle's of mass at speed…

Q: Suppose a spaceship heading directly away from the Earth at 0.75c can shoot a canister at 0.25c…

A: Given data : Velocity of Spaceship heading directly away from earth v1 = 0.75 c Velocity of…

Q: A subatomic particle muon travels at constant velocity 0.9c and lives 1.2us as measured in the…

Q: a) Calculate the classical momentum of a proton traveling at 0.974c, neglecting relativistic…

A: Mass of proton m = 1.67 * 10-27 kg speed of proton v = 0.974c where, c = 3 * 108 m/s .

Q: T55. Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it…

Q: D a) Suppose your normal resting heart rate is 60 beats per minute. You board a space ship, which…

Q: A particle of some unknown rest mass m,, moving at +0.8c ây relative to a stationary laboratory,…

A: Given, for first body, mass = mx , velocity = 0.8c for second body, mass = m0 ,…

Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…

Q: A meterstick moving at 0.970c relative to the Earth's surface approaches an observer at rest with…

Q: The kinetic energy of motion, 7, of a particle is the relativistic total energy minus the rest…

Q: A spacecraft leaves Earth at a constant speed of 0.69c as measured by an observer on Earth. It heads…

A: Given: Constant speed of spacecraft, v=0.69c Distance of star system from the Earth=43.94 light…

Q: A hypothetical particle has a rest energy of 1.60 MeV and (in a certain inertial frame) a total…

Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find the cross product of 9(u X v)

Q: A particle of some unknown rest mass mx , moving at +0.8c ˆx relative to a stationary laboratory,…

Q: Please answer D A spaceship from another galaxy passes over the solar system directly above a…

A: please see the next step for solution

Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

100%

A particle of some unknown rest mass mx, moving at +0.8c Ây relative to a stationary laboratory,
collides head-on with another particle of rest mass m,, moving at – 0.6c âx relative to the same stationary
lab frame. After the collision, the two particles stick together and stay stationary.
(a) What is m, in terms of m,?
(b) What is the mass of the final stationary object in terms of m,?
(c) What is the change in kinetic energy in this collision, in terms of m,c²?
0bc
0,8C

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

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

A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K° particle passes the experimenter at 0.5c and decays, emitting a 7° in the original direction of motion. In the experimenter's frame, the speed of the T° is measured to be O 1.3c. O between c and 1.3c. between .5c and .8c. O between .8c and c..
12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.
At relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. effects precede causes in some inertial frames. lengths and times only appear different and have no effect on other measurable quantities.
An electron-positron collider creates muons through the reaction et +e →µ* +µ. In the center-of-momentum frame, what is the minimum speed of the electron for this reaction to occur, in terms of the masses me and mu of the electron and muon? Oc(1-) 2m 7ne - my O This process can occur at any speed.
When pions are brought to rest their lifetime is 1.77´10-8 s. A beam of pions is produced in an accelerator and moves at a speed of 0.99c relative to the laboratory. After moving 39 m as measured in the la, half the pions have decayed. a) from the viewpoint of an observer in the lab frame and b) from an observer at rest in the frame of the moving pions that the two numerical results given in the problem for the half-life of the pions are consistent.
Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.99c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.99 ct = 1.5 μs Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).
The mean lifetime of mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured in the laboratory: a) What is their mean lifetime? b) How far would they travel before they decay?
A golf ball travels with a speed of 90.0 m/s. By what fractiondoes its relativistic momentum magnitude p differfrom its classical value mu? That is, calculate the ratio(p mu)/mu.
If relativistic effects are to be less than 1%, then the dimensionless parameter γ must be less than 1.01. At what velocity, in terms of c, is γ = 1.01?