## Special Relativity Questions and Answers

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Consider the inelastic collision e^-+e^- \to e^-+e^-+e^-+e^+ in which an electron-positron pair is produced in a head-on collision between two electrons moving in opposite directions at the same speed. What is the speed of an electron with the threshol

Suppose a proton is moving at 0.95% of speed of light. Calculate the wavelength in meters of a photon that has the same momentum as this proton.

Laboratory scientists have created the electric and magnetic fields as shown in the figure below. These fields are also seen by scientists that zoom past in a rocket traveling in the x direction at 1.0 \times 10^6 \space m/s. Assume that B = 0.42 \space T

Explain this statement: Rest mass of the photon is zero.

The nearest star to our own Sun is Proxima Centauri, at 4.24 light-years. If a spaceship travels at 0.75 c, how much time is required for a one-way trip according to an Earth observer?

A rocket launched outward from Earth has a speed of 0.190 c relative to Earth. The rocket is directed toward an incoming meteor that may hit the planet. If the meteor moves with a speed of 0.260 c rel

The nearest star to Earth is Proxima Centauri, 4.3 light-years away. Part A: At what constant velocity must a spacecraft travel from Earth, if it is to reach the star in 5.4 years, as measured by tra

When you approach a blinking source of light, the frequency of its blinking is seen to: a) decrease b) increase c) remain the same always. If you are traveling at close to the speed of light and shi

A spacecraft approaching the earth launches an exploration vehicle. After the launch, an observer on earth sees the spacecraft approaching at a speed of 0.74 c and the exploration vehicle approaching

In the theory of relativity, the mass of a particle with velocity v is m = m0/sqrt(1-v^2/c^2), where m0 is the mass of the particle at rest and c is the speed of light. What happens as v->c^-? A. m->m0 B. m-> infinity C. m-> 0 D. m-> -infinity.

a) How much work must be done on a particle with a mass of m to accelerate it from rest to a speed of 8.4 times 10^{-2} c? (Express the answer in terms of m c^2.) b) How much work must be done on a p

Starship "Alpha" is traveling at 0.8c with respect to an identical starship "Beta." Each starship has rest length 10,000 m. The ship's engineer aboard the "Beta" measures the length of the "Alpha" as

Suppose a spacecraft of rest mass 34000 kg is accelerated to 0.206c. How much kinetic energy would it have? If you used the classical formula for KE, by what percentage would you be in error? Do not e

If photons carry energy, how can they have no mass?

How does the speed of light effect e = mc^2?

A massive object can approach but never attain the speed of light, because

Is it possible to travel faster than light, or as fast as light?

A stationary observer views the approach of a spaceship moving at a relativistic speed. The observer knows the of the spaceship, as it moves past, is less than if it were stationary with respect to h

1. A spaceship of length 40 m at rest is observed to be 20 m long when in motion. How fast is it moving? 2. The Concorde traveled 8000 km between two places in North America and Europe at an average s

In a reference frame s, the volume of a cube is 1000 cc. Find the volume of the cube in a reference s which is moving parallel to the edge of the cube with a velocity 80% of that of light.

When was special relativity published?

How did Einstein come up with special relativity?

A particle is moving at 0.75c relative to a lab on Earth. By what percentage is the Newtonian expression for its momentum in error, i.e., how wrong is the classical formula? (The percentage error is t

Calculate the de Broglie wavelength for each of the following a. the proton with the velocity of 75 percent of the speed of light.

In its own frame of reference, a proton takes 5 min to cross the Milky Way galaxy, which is about 10^5 light-years in diameter. (a) What is the approximate energy of the proton in electronvolts? (b) A

What is the minimum velocity light can travel with. that the velocity of the photon will cease to exist?

What will be the speed of a photon with respect to another photon when both photons are traveling in same direction?

What is the proof that space is related with time?

After being created in a high-energy particle accelerator, a pi meson at rest has an average lifetime of 2.60 x 10^{-8} s. Traveling at a speed very close to the speed of light, a pi meson travels a d

A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.991c, and an observer who is stationary in a laboratory measures

If a train is travelling with a speed equal to light and a girl is running inside it in the way the train is running.an observer see the girl from outside running. What is the speed of the girl and wh

Let's investigate your space vacation from last week. Your spaceship, which has a proper length of 300 m, passes near a space platform while you are moving at a relative speed of 86% the speed of ligh

Consider a situation where immediately after birth, twins are separated. One continues to live on earth, while the other is whisked away in a space ship at 90% of the speed of light. After 65 years th

Is it possible for a human being who has a life expectancy of 70 years to make a round-trip journey to a part of the universe thousands of light-years distant?

How many joules of energy per kilogram of rest mass are needed to bring a spacecraft from rest to a speed of 0.77 c?

In the lab, a relativistic proton has a momentum of 1.00 X 10^{-19} kgms^{-1} and a rest energy of 0.150 nJ. What is the speed of the proton in the lab? ( c=3X10^{8} m/s , mass of proton = 1.6

A space ship with a mass of 1.20 x 10^6 kg is initially at rest relative to a nearby star system. a. What acceleration is required to bring the ship to a speed of 0.10c (where c is the speed of light)

A spaceship is travelling away from Earth with a speed of 0.6c as measured by an observer on Earth. The rocket sends the light pulse back to earth every 10 minutes as measured by a clock on the spaces

How fast would you need to be travelling relative to an observer in order for them to see a 15% increase in your mass?

A particle of mass m is given kinetic energy equal to one-third its rest-mass energy. How fast must the particle be traveling?

What is special about special relativity?

Explain why this statement is true. Two events that are simultaneous in one inertial frame of reference will not necessarily be simultaneous in any other inertial frame of reference.

If relativistic effects are to be less than 3%, then y must be less than 1.03. At what relative velocity is y = 1.03?

(a) What is the kinetic energy in MeV of a beta ray that is traveling at 0.984 c? This gives some idea of how energetic a beta ray must be to travel at nearly the same speed as a gamma-ray. MeV (b) W

A spaceship travels at a constant speed from earth to a planet orbiting another star. When the spacecraft arrives, 14 years have elapsed on earth, and 6.1 years have elapsed on board the ship. How far

A spaceship fires a laser cannon (i.e. photons which move at the speed of light = c) in the forward direction. If the spaceship is moving away from the earth at 20% the speed of light (0.2 c), how fas

A spaceship having a length twice its width is capable of realistic speeds. How fast would it have to move so that a stationary observer (outside) would measure a length equal to its width?

If a 93.9 kg person were travelling at 0.980 c (where c is the speed of light), what would be the ratio of the person's actual kinetic energy to the person's classical kinetic energy?

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2 mv^2) when a particle has a speed of (a) 1.66 \times 10^{-3} c. and (b) 0.951c.

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 gamma for the electro

a) Calculate the energy needed to accelerate a spaceship of mass 10,000 kg to a speed of 0.3c for intergalactic space exploration. b) Compare it with the projected energy usage of the Earth in a deca

The negative pion (-pi) is an unstable particle with an average lifetime of 3.60 x 10^-8 s (measured in the rest frame of the pion). If the pion is made to travel at very high speed relative to a labo

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy when a particle has the following speeds. a. 1.10 x 10^{-3}c b. 0.974c

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy when a particle has the following speeds. a. 1.82 x 10^{-3}c b. 0.879c

What is the wavelength of an electron traveling at 1.65% of the speed of light?

How fast do you have to go to break the speed of light?

Why it's not possible to travel at speed of light? Though photon have no mass, why gravity attracts it?

Explain E =mc^2.

Can you please explain the theory of relativity?

What is faster than light? Prove it.