Exam 35: Relativity

In Jules Verne's classic Around the World in Eighty Days,Phileas Fogg travels around the world in,according to his calculation,81 days.Due to crossing the International Date Line he actually made it only 80 days.How fast would his descendent have to travel in his space ship in order for time dilation to make 7.0 days in his frame be measured as 8.0 days to observers on the Earth?

In the context of special relativity,which of these statements are true? a) The laws of physics are the same in each reference frame, independent of the motion of the reference frame. b) The speed of light, c, is the same in every reference frame. c) Light can travel faster than 3.0 108 m/s d) Time is the same in all reference frames. e) The length of an object is the same in all frames.

By what percentage must the speed of an electron travelling at 2.968 *10⁸ m/s be increased to increase its energy by 150%? The speed of light is 2.9979 * 10⁸ m/s.

A spacecraft travels along a straight line from the Earth to the Moon a distance of 3.84 * 10⁸ m.Its speed measured on Earth is 0.70 c.Determine the distance between the Earth and Moon if it were measured by a person on the spacecraft.

A 101-meter long relativistic train approaches a 100-m long platform at high speed.How fast must the train be going to fit entirely inside the length of the platform?

What is the relative speed between two objects approaching each other if each is travelling at speed of 0.6 c as measured by an observer on Earth?

An observer on the Earth sees the U.S.S.Enterprise approaching from one direction at 0.600 c and a Klingon Battle Cruiser approaching from the opposite direction at 0.800 c.According to Mr.Spock,who is aboard the Enterprise,what is the speed of the Klingon Battle Cruiser?

What is the Schwarzschild radius of an electron (m = 9.11 * 10^-31 kg)?

A laser with wavelength of 632.8 nm is used to excite a gas of atoms which are moving atom that is moving away from the laser at 1.2 * 10⁶ m/s.What is the wavelength of the radiation that these atoms strongly absorb?

A spaceship is traveling directly towards a stationary asteroid with a speed equal to one-half of the speed of light as measured by someone on the asteroid.The spaceship turns on its headlights and the light is observed by the crew of the spaceship and by the person on the asteroid.Compare the speed of the light as observed by someone on the spaceship to the speed of the light as observed by someone on the asteroid.

By what percentage must the energy of an electron travelling at 2.968 * 10⁸ m/s be increased to increase its speed by 1%? The speed of light is 2.9979 * 10⁸ m/s.

How fast must you be traveling relative to a source of blue light (480 nm)for the light to appear shifted towards the red by 10 nm?

A proton observed to have a momentum of 2.0 GeV/c is moving with what velocity relative to the observer?

A 1-g particle has momentum of magnitude 4 * 10⁵ kg m/s.The speed of the particle is

Right before takeoff,a passenger on a plane flying from town A to town B synchronizes his clock with the clock of his friend waiting for him in town B. The plane flies without interruption for 5.00 hours at a constant velocity.The moment the plane touches the ground the two friends check simultaneously the indication of their clocks.The difference between the readings of the clocks B and A is 7.56 ns.Ignoring any effects of acceleration,the constant velocity of the plane was

An electron at the Stanford Linear Accelerator has a kinetic energy of 20 GeV.The magnitude of the momentum of the electron is

Albert is sitting in his office when you go by in a high-speed train at the speed of 80% of the speed of light.Both you and Albert have a meter stick,held parallel to the direction of travel.How long does Albert see you meter stick and how long does his stick appear to you?

Sam sees two events as simultaneous: (i)event A occurs at the point (0,0,0)at the instant 0:00:00 Universal time; (ii.event B occurs at the point (569 m,0,0)at the same moment. Tim,moving past Sam with a velocity of (0.998 c)",also observes the two events.Relative to the time Tim measures for event A,when does Tim see event B occur?

The length of a moving meter stick is 75 cm.What is its speed parallel to its length?

A spaceship is travelling at 0.6c relative to a stationary observer and appears to be 30 m long to the stationary observer.How long is the spaceship in the spaceship's rest frame?