Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv²) when a particle has a speed of (a) 2.12 × 10-³c. and (b) 0.831c. (a) Number (b) Number i Units Units

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv²) when a particle has a speed of (a) 2.12 × 10-³c. and (b) 0.831c. (a) Number (b) Number i Units Units

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: You are standing 1.7 mm from a mirror, and you want to use a classic camera to take a photo of…

A: When we are standing 1.7 m from the mirror, our image will be formed 1.7 m inside the mirror.Hence…

Q: The two mirrors in the figure below meet at a right angle. The beam of light in the vertical plane P…

Q: A coil 4.20 cm radius, containing 420 turns, is placed in a uniform magnetic field that varies with…

Q: motorboat travels 448 kilometers in 7 hours going upstream and 612 kilometers in 6 hours going…

A: The rate of the boat in still water is the average of the rate upstream and the rate downstream.Rate…

Q: An object of mass m is accelerating down a frictionless inclined plane. The inclined plane is at an…

Q: Air resistance has a quadratic velocity dependence. Water resistance usually has a linear velocity…

A: Air resistance has a quadratic velocity dependance. Water resistance usually has a linear velocity…

Q: A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the…

A: The maximum amplitude of vibrations is The amplitude after time is Find:(a) Time constant for the…

Q: A single-turn square loop of side I is centered on the axis of a long solenoid. In addition, the…

A: Number of turns of the solenoid is Diameter of the solenoid is Current is Note:Permeability of free…

Q: A parallel plate capacitor with circular faces of diameter 7.2 cm separated with an air gap of 3.3…

Q: A particle known as a pion lives for a short time before breaking apart into other particles.…

A: Given Data:The speed of the particle Lifetime of pion To Determine:(a). The lifetime of the pion…

Q: A mirror is showing upright image of a person standing 1.5 m from it. Image is 2.5 times taller than…

A: Object distance ( u ) = - 1.5 mImage of height ( hi ) = 2.5 × height of person ( ho )

Q: laser beam is incident at an angle of 29.8° to the vertical onto a solution of corn syrup in water.…

A: Given

Q: A computer hard drive is accidentally dropped on the ground. When it hits the ground, it comes to a…

Q: A microscope with a 6.0 ×× objective lens images a 1.4 mmmm diameter specimen. What is the diameter…

A: Magnification of the objective lens is Diameter of the object is Find:Diameter of the image.

Q: Calculate the electric potential at 2.0 meters on the positive x axis due to a charge of 225.0…

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

Q: You lift up a box weighing 50N and hold it stationary at 1.0 meter off the ground. According to…

A: When an object of mass m is raised a height h above ground against acceleration due to gravity g,…

Q: 5) A 50-kg mass on a spring is moved so that it extends the spring 50 mm from its unextended…

Q: What is the electron orbit radius of an hydrogen atom in the n = 7 state (in m)?

Q: (b) the second meter of the fall 0 initial kinetic energy How is the initial kinetic energy for the…

Q: 4. A 2.0 kg block hangs from the end of a 1.5 kg, 1.0-m long rod, together forming a pendulum that…

Q: here is a point charge +2Q origin, surround by a very conducting spherical shell of radius a (assume…

Q: of th following is the best example of thermal energy A. a ball sitting at the top oa hill B.a hot…

A: Thermal energyThermal energy is energy which produced when the vibration of atoms and molecules in a…

Q: accelerating at 1 m/s^2 and there is a coefficient of kinetic friction between the tracks and the…

Q: If the cart in the previous question collides INELASTICALLY with a stationary cart of mass 150 g,…

Q: e plane will end up flying oq ! pa+ + +

Q: If a pirate has a treasure chest with a mass of 20 kg and dimensions of 40 cm x 30 cm x 25 cm, what…

A: Mass, m = 20 kg = 20000 gDimensions of 40 cm x 30 cm x 25 cm.Density is to be calculated.

Q: A pond with a total depth (ice + water) of 3.00 m is covered by a transparent layer of ice, with a…

Q: An electron in a double ionized Lithium atom transitions from the n = 3 state to the n = 2 state.…

Q: compressed spring that is attached to a wall. There is 2.5 J of elastic potential energy stored in…

Q: A proton is initially moving to the right when it enters a uniform electric field directed upwards.…

A: As the direction of the electric field is in the upward direction. Therefore, the direction of the…

Q: ハ r₁ 00 x Shown in the figure are two arcs of charge centered at the origin. The inner arc has a…

Q: An object is thrown straight upward with an initial speed of 21.4 m/s. How long does it take it to…

Q: 40. The north pole of a magnet is moved toward a copper loop, as shown in figure below. If you are…

A: From Lenz's law we know that the direction of induced current will be such that it will try to…

Q: The figure below shows a long straight wire near a rectangular current loop. The current in the wire…

A: The magnetic force between two parallel current carrying wires is given byThe force is attractive…

Q: A weightlifter lifts an 110-kg barbell at a height of 2.3 meters above the ground. If it took 3.1…

Q: What is the rest energy of a positive kaon, given its mass is 8.80 ✕ 10−28 kg? Give your answer in…

Q: A conducting sphere with radius R and total charge Q is centered at the origin. The space outside…

Q: Which of the following statements is true for single-slit diffraction? The intensity of interference…

A: True statement for single slit diffraction

Q: A converging lens has a focal length of 12 cm. If the object is placed 17 cm from the lens, what is…

Q: A tungsten wire heats up to nearly 1800 K in a lightbulb. What happens to the current, voltage, and…

A: Given Temperature of tugsten wire = 1800K What happens to the current, voltage, resistance and power…

Q: Insects can get electrically charged when flying through the air. They can then transfer this charge…

Q: 1.92 Vector A has magnitude 6.00 m and vector B has magni- tude 3.00 m. The vector product between…

Q: Monochromatic light of wavelength 720 nm is incident on parallel slits, of width 0.520 mm, separated…

Q: As the platform above is turning, another child comes along and jumps directly onto the edge of the…

Q: A person stands at a point P relative to two plane mirrors oriented at 90°. How far away do the…

A: The distance between the person and the mirror:

Q: A 0.200-m wire is moved parallel to a 0.500-T magnetic field at a speed of 1.50 m/s. What emf is…

A: Length, l = 0.200 mField, B = 0.500 TSpeed, v = 1.50 m/sInduced emf, ε = ?

Q: A bicycle tire has a pressure of 7.80 ✕ 105 N/m2 at a temperature of 15.0°C and contains 2.40 L of…

A: Initial pressure, Pi = 7.80×105 N/m²Temperature, Ti = 15° C = 288.15 KVolume, Vi = 2.40 L =…

Q: A single-turn square loop of side I is centered on the axis of a long solenoid. In addition, the…

Q: You measure the radius of a sphere as (6.30 ± 0.25) cm, and you measure its mass as (1.72 ± 0.05)…

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

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv²) when a particle has a
speed of (a) 2.12 × 10-³c. and (b) 0.831c.
(a) Number
(b) Number
Units
Units

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: Relativistic kinetic energy

VIEW

Step 2: Ratio of relativistic to non relativistic kinetic energy

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 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

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.
. 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?
If relativistic effects are to be less than then must be less than 1.03. At what relative velocity is
Two spaceships approach each other, each moving with the same speed as measured by an observer on the Earth. If their relative speed is 0.70c, what is the speed of each spaceship?
A clock in a spaceship tuns one-tenth the rate at which an identical clock on Earth runs. What is the speed of the spaceship?
A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.
An astronaut at rest on Earth has a heartbeat rate of 70 beats/min. What will this rate be when she is traveling in a spaceship at 0.90c as measured (a) by an observer also in the ship and (b) by an observer at rest on the Earth?
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.
A clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)
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?
Is it possible for an external force to be acting on a system and relativistic momentum to be conserved? Explain.