Answered: 8. Find the ratio of mass of a particle…

8. Find the ratio of mass of a particle in frame S' to S when the particle moving with velocity (0.25c). Where S' is moving with relative velocity 0.75c.

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter12: Relativity, Particle Physics, And Cosmology

Section: Chapter Questions

Problem 12P: . If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of...

See similar textbooks

Related questions

Q: The two insulated wires in (Figure 1) cross at a 30° angle but do not make electrical contact. Each…

Q: A pot of water is boiling under one atmosphere of pressure. Assume that heat enters the pot only…

Q: Q.5: Point charges are located at the corners of a square of side d as shown in the figure. Given:…

Q: 3) A new battery has a Voltage of 36.4 V [8] before being installed in a toy. Once the battery is…

Q: A 1.50 kg solid, uniform sphere of radius 0.120 m is released from rest at point A in the figure…

Q: An artillery shell is fired with an initial velocity of 300 m/s at 47.5° above the horizontal. To…

A: Given:Initial velocity,V = 300 m/s.Time, t = 44 s.Angle = 47.5o vxo =300 × cos47.5o…

Q: The figure shows wire 1 in cross section; the wire is long and straight, carries a current of 4.27…

Q: 56. A block of mass m slides down a frictionless track, then around the inside of a circular…

A: Mass of block = m Radius of loop = R We need to find the minimum height = h=?

Q: You are designing a ski jump ramp for the next Winter Olympics. You need to calculate the vertical…

Q: horizontal spring with spring constant 210 N/m is compressed hen used to launch a 250 g box across…

A: Energy stored in the spring is given by The kinetic energy is given by where, K is the spring…

Q: Consider two equal point charges separated by a distance d. If a third test charge is inserted at a…

A: This question can be solved using the concept of neutral point between two charges. The neutral…

Q: A wire carrying a 30.0 A current bends through a right angle. Consider two 2.00 mm segments of wire,…

A: The current in the wire is The length of the segment is Diagram:

Q: what is the wavelength of the photon emitted when an electron jumps from n=3 to n=2 in a H atom.…

Q: Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is…

Q: Consider a small car of mass 1080 kg and a large sport utility vehicle (SUV) of mass 3960 kg. The…

A: Mass of small vehicle is Mass of large vehicle is Speed of large vehicle is Both vehicles have the…

Q: The figure shows a section of coaxial cable, made from a central wire of radius 1.53 mm carrying…

Q: An 10.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m?) wire is being whirled in a…

A: Mass of the stone Young's modulus Tangential speed Length of the wire Radius of the wire

Q: During a circus act, one performer swings upside down hanging from a trapeze holding another, also…

Q: The scale in the figure below is being pulled on by three ropes. What net force does the scale…

Q: Point P in the figure indicates the position of an object traveling at constant speed clockwise…

A: V = constantCircular motion.Position of the particle is :- North-east at point 'p'Moving in…

Q: A spherical wave with a wavelength of 4.0 m is emitted from the origin. At one instant of time, the…

Q: A wire carrying a 30.0 A current bends through a right angle. Consider two 2.00 mm segments of wire,…

A: The objective of the question is to find the magnitude and direction of the magnetic field produced…

Q: How much work (in J) is done for an object moving from x=1m to x=5m?

A: As we know work done(W) is given by the formula - W = Fd,F - Force, d - displacement.We also know…

Q: A block on a horizontal frictionless surface with mass m=6.1 kg is connected to a 3.2 kg hanging…

A: See below

Q: Engineers are designing a system by which a falling mass m imparts kinetic energy to a rotating…

A: The acceleration due to the gravity in the Mars Kinetic energy of the drum Mass Distance fall in the…

Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…

Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

Q: 2.) A spinning, flat disk of radius 2.0 m has a tangential velocity at its edge of 4.5 m/s. a.…

A: The objective of the question is to find various parameters related to the motion of a spinning…

Q: A hockey puck of mass 0.26 kg is sliding along a slippery frozen lake, with an initial speed of 64…

A: Mass of hockey puck, m = 0.26 kg Initial speed, u = 64 m/sCoefficient of friction between ice and…

Q: In a two-lens system, the focl length of the lens is f1 = 4.00 cm, and that of then lens 2 is f2 =…

Q: What is a microchip, and how does it differ from a semiconductor?

A: A microchip (or integrated circuit) is a small semiconductor device that contains many tiny…

Q: The driver of an 1600 kg car (including passengers) traveling at 24.0 m/s slams on the brakes,…

Q: A test rocket is fired vertically upward from a well. A catapult gives it initial speed 60 m/s at…

A: Initial velocity = u= 60m/sAcceleration = a =5.0m/s2Vertical displacement = 1100 mUsing equation of…

Q: e Fat an angle to the Ar cos 8. positive, so the sign of Wis force and the displacement. 1 of 1 What…

Q: An ion having charge +6e is traveling horizontally to the left at 8.00 km/s when it enters a…

A: Charge is Velocity is Direction of velocity is leftward(+x-axis).Magnetic field is perpendicular to…

Q: When a projectile is fired horizontally at speed v from a height d above the surface of a table, it…

A: When height = d Speed of projectile = v Height of projectile = dTime of flight of projectile when…

Q: The Liberty Bell has a mass of 943 kg. It is too hea However, imagine a rope was developed that coul…

A: We have a given a liberty ball with mass, .We have a rope…

Q: ▼ What is the magnetic field B at point a in (Figure 1)? Give your answer as a vector. Express your…

Q: Consider the wave shown in (Figure 1). Part A What is the amplitude of this wave? Express your…

Q: Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass.…

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

Q: Find the three longest wavelengths (call them A₁, A₂, and A3) that "fit" on the string, that is,…

Q: A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as…

Q: A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now…

Q: Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass.…

A: d)Write the equation for the conservation of the angular momentum and substitute the corresponding…

Q: A hanging weight, with a mass of m₁ = 0.360 kg, is attached by a cord to a block with mass m₂ =…

Q: Part B: The infinite, straight wire shown below carries a current I₁. The rectangular loop, whose…

Q: The juggling skateboarder is back outside He starts with a speed of of 3.0 m/s at a height ten…

A: The objective of the question is to find the speed of the skateboarder when he is two meters above…

Q: Light of wavelength λ = 525 nm in air enters a glass prism. The index of refraction of air is na and…

Q: 14. Figure CQ22.4 shows light from material A with index of refraction nA entering materials B and…

A: We have given three materials i.e material A, B and CThe incident angle is in both caseIn first…

Q: While standing at the second floor balcony in an apartment building at 2 meters above the ground,…

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

y+1
8. Find the ratio of mass of a particle in frame S' to S when the particle
moving with velocity (0.25c). Where S' is moving with relative velocity
0.75c.

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: Analysis of given situation

VIEW

Step 2: Calculate mass of the particle in frame S' and S frames:

VIEW

Step 3: Calculate the required ratio of mass of a particle in frame S' to S :

VIEW

Solution

VIEW

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) How long would the muon in Example 28.1 have lived as observed on the Earth if its velocity was 0.0500c ? (b) How far would it have traveled as observed on the Earth? (c) What distance is this in the muon's frame?
A spaceship, 200 m long as. seen on board, moves by the Earth at 0.970c. What is its length as measured by an earthbound observer?
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
Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) Convert the answers of (a)(c) to MeV/c.
(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.
Owen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45
. If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be traveling?
Suppose 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?
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?
Consider 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?