While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to figure 1. The kinetic energies and angles are: K₁ = 190 MeV, K₂ = 321 MeV, K3 = 58 MeV 0₁ = 22.4°, 0₂ = 12.25° Calculate the mass of the unstable particle.

While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to figure 1. The kinetic energies and angles are: K₁ = 190 MeV, K₂ = 321 MeV, K3 = 58 MeV 0₁ = 22.4°, 0₂ = 12.25° Calculate the mass of the unstable particle.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter15: Elementary Particles

Section: Chapter Questions

Problem 32P

See similar textbooks

Related questions

Q: A 2.38 kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph…

A: Given Datamass of ball m = 2.38 kgFrom the graph it is clear that the ball is oscillating…

Q: Is sound transferred differently in water vs. air? For acoustic waves you need matter? For light…

Q: Sketch the curve with the given polar equation. r= 4 + sin 8 y y

A: Solution: Given data, r = 4 + sin θ

Q: A 175 g ball strikes a vertical wall and bounces off. The ball's initial velocity is a horizontal 5…

Q: If you wish to store a large amount of energy in a capacitor bank, would you connect capacitors in…

A: We are given various capacitors. We can either join them in series or in parallel. We know that in…

Q: Determine the wavelength of red light (wavelength in air is 700 nm and the frequency is 4.29x1014…

A: Given: The wavelength of the light inside the air is 700 nm. The frequency of the light is 4.29x1014…

Q: A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg mass by a thin,…

Q: 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What…

A: Given data: The kinetic energy, K.E=550 MeV The rest mass of a photon is m=1.67×10-27 kg

Q: Some air occupies 2.30 m³ at a pressure of 36.0 kPa. What is the volume of the air if the pressure…

A: GivenV1 = 2.30 m3P1 = 36.0 kPaP2 = 40.0 kPaV2 = ?

Q: A)Several years ago while participating in an early spring adventure race I had to cross a rapidly…

Q: 5 02 none of the answers are correct. 01 5. How many image charges allow one to calculate the V in…

Q: A harpy pours 228 g of ethyl alcohol at 74°C & 157 g of gasoline at 13°C into a 693 g glass cup at…

Q: A bird is flying directly toward a stationary bird- watcher and emits a frequency of 1.22 × 10³ Hz.…

Q: muh pak 15.0 cm en the block is released, it slides without friction to the bottom of the ramp, and…

Q: 10. A square frame has sides that measure 2.00 m when it is at rest. What is the area of the frame…

Q: A baseball is tossed upward by an person on the Earth. Do not assume free fall. How does the rate of…

Q: Before 6 kg v = 5 m/s 5m/s 4 kg v = 0 m/s Oms IV After 6 kg v = 1 m/s Im/s 6mlS 4 kg v = ? m/s 2

A: Given m1=6 Kg u1=5m/s (initial velocity of m1) v1=1 m/s (final velocity of m1 after collision) m2=4…

Q: In the circuit shown if the wire AB has a length of one meter, the galvanometer G reads zero at…

A: Given diagram:-

Q: When one person shouts at a football game, the sound intensity level at the center of the field is…

A: The solution for this question has been given below..

Q: An airplane recently took off from its runway with 714 meters from the ground. The ground controls a…

A: Given thath=714 m (height of airplane)p0=753 mm Hg (pressure at ground)ρ=1.20 kg/m3…

Q: 3. In the diagram, we have two converging lenses with fi=8.0 cm and f2=6.0 distance 36.0 cm apart.…

A: As per lens formula 1/f = 1/v -1/u f = focal length of lens v = image distance u = object distance

Q: Scientists in the laboratory create a uniform electric field E-9.0x105 kV/m in a region of space…

Q: Problem 8.05**. A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.40 ×…

A: Given, A high pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.40×107 N/m2 and…

Q: How fast is a speeding bullet? The figure below shows a simple form of a ballistic pendulum, which…

A: The given data we have: Mass of the bullet: mB=5.00g Mass of the block of wood: mW=2.00kg Height…

Q: A disk of radius R and mass M is spinning at an angular velocity ω0 rad/s. A non-rotating concentric…

A: Given, A disk of radius R and mass M is spinning at an angular velocity ω0 rad/s. A non-rotating…

Q: A solid and uniform disk of mass 8.0 kg and radius 25 cm is rotating at 1506 revolutions per minute…

Q: A plane wave travels through air. The electric field has the form Ē(t)=0.5 sin(@ot-kx) 2 [V/m]…

Q: What is the maximum speed vmax of the block during this motion? Find the acceleration a of the block…

Q: ) What is the repulsive force between two pith balls that are 8.00 cm apart and have equal charges…

A: Since you have asked multiple unrelated questions, only the first question is answered here. Please…

Q: landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 53.0 cm.…

Q: 4. 6. 12 kg v = ? m/s Before 3m/s 8 kg v = 3 m/s kg вони Om/s 10 kg 12 kg v = 1 m/s After 8 kg v = 6…

A: Conservation of liner momentum: The total momentum of two or more bodies working on each other in an…

Q: A moveable (massless and frictionless) bar with a length of L = 11/50 m is being moved at a constant…

A: Introduction: Faraday's First Law of Electromagnetic Induction: "When a conductor is placed in a…

Q: A disk of radius R = 10cm and mass m = 3kg spins horizontally at a rate of 10 revolutions per minute…

A: Given: The mass of the disk is 3 kg. The radius of the disk is 10 cm = 0.1 m. The initial angular…

Q: A spring (oriented horizontally, k = 40 N/m) is attached to the left side wall in a room whose floor…

Q: make the child lift off the ground? a) 0.82 m b) 1.0 m c) 0.56 m d) 0.47 m e) 1.5 m

A: Let the required distance be x. the situation is shown in figure below.

Q: 27. In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500…

Q: A student measures the following data in a calorimetry experiment designed to determine the specific…

Q: 2. The wavelength of the light 509 nm in medium 1, but 450 nm in medium 2. Calculate the index of…

A: The formula n=c/v can be used to determine the index of refraction (n) of a material from the speed…

Q: A 20-g ice cube floats in 150 g of water in a 100-g copper cup; all are at a temperature of 0°C. A…

Q: Statement translation. The distance s an object falls in time t equals the product of 16 and the…

A: Given S=distance the object falls t= time interval

Q: A 0.52 kg hammer strikes a 28 g copper nail into a wood board. The nail is horizontally aligned and…

Q: The rotating loop in an AC generator is a square 15.0 cm on a side. It is rotated at 90.0 Hz in a…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A 1200 kg roller coaster cart is initially at rest at the top of the track at a height of 20 m above…

Q: (a) Calculate the angular momentum (in kg·m2 /s) of an ice skater spinning at 7.00 rev/s given his…

Q: An Olympic class sprinter starts a race with a constant acceleration of 4.5 m/s^2, what is her speed…

A: given data acceleration (a) = 4.5 m/s2 t = 2.4 second v = ?

Q: A pump is lifting water through 5.486m to fill a 566.254 m3 tank. The overall energy efficiency is…

Q: 18) A force of 200N is required to keep an object sliding as a constant speed of 2 m/s across a…

A: Force=200 Nvelocity=2 m/s

Q: This question and the previous question are based on the following information. A candle flame is 2…

Q: 8. An electron travels at a speed of 8.80 × 9.11 × 10-³1 kg) MeV 107 m/s. What is its total energy?…

A: Given, The speed of the electron, v=8.80×107 m/s The mass of elctron,me=9.11×10-31 Kg

Question

While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to
figure 1. The kinetic energies and angles are:
K₁ = 190 MeV, K₂ = 321 MeV, K3 = 58 MeV
0₁ = 22.4°, 0₂ = 12.25°
Calculate the mass of the unstable particle.

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

The average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?
(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.
A box is cubical with sides of proper lengths L1 = L2 = L3, as shown in Figure P26.14, when viewed in its own rest frame. If this block moves parallel to one of its edges with a speed of 0.80c past an observer, (a) what shape does it appear to have to this observer? (b) What is the length of each side as measured by the observer? Figure P26.14
If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?
An unstable particle with a mass equal to 3.34 1027 kg is initially at rest. The particle decay's into two fragments that fly off with velocities of 0.987c and 0.868c, respectively. Find the masses of the fragments. Hint: Conserve both mass-energy and momentum.
A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find for the electron. (b) What is the electron's velocity?
(a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator, if =1.00105 for them? (b) What is their total energy (nearly the same as kinetic in this case) in GeV?
An unstable particle with a mass equal to 3.34 1027 kg is initially at rest. The particle decay's into two fragments that fly off with velocities of 0.987c and 0.868c, respectively. Find the masses of the fragments. Hint: Conserve both mass-energy and momentum.
If relativistic effects are to be less than then must be less than 1.03. At what relative velocity is
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 P1.34
Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity =11v2/c2be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?
The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.