Exam 37: Relativity

As a rocket ship moves by at 0.95c a mark is made on a stationary axis at the front end of the rocket and 9.0 * 10^-8 s later a mark is made on the axis at the back end.The marks are 100 m apart.The rest length of the rocket is:

A certain automobile is 6.0 m long if at rest.If it is measured to be 4.8 m long while moving, its speed is:

Two independent events occur 100 m apart with an intervening time interval of 0.42 $\mu$ s.The proper time between the events is:

A meter stick moves sideways (that is, in a direction perpendicular to its length)at 0.95c.According to measurements taken in the laboratory, its length is:

A source at rest emits light of wavelength 500 nm.When it is moving at 0.90c toward an observer, the observer detects light of wavelength:

The speed of light in vacuum is approximately

Two events occur on the x axis separated in time by $\Delta$ t and in space by $\Delta$ x.A reference frame, traveling at less than the speed of light, in which the two events occur at the same coordinate:

A meson moving through a laboratory of length x at a speed v decays after a lifetime T as measured by an observer at rest in the laboratory.If the meson were at rest in the laboratory its lifetime would be:

If the kinetic energy of a free particle is much less than its rest energy then its kinetic energy is proportional to:

Two events occur on the x axis separated in time by $\Delta$ t and in space by $\Delta$ x.A reference frame, traveling at less than the speed of light, in which the two events occur at the same time:

Frame S' moves in the positive x direction at 0.6c with respect to frame S.A particle moves in the positive x direction at 0.4c as measured by an observer in S'.The speed of the particle as measured by an observer in S is:

A train traveling very fast (v = 0.6c)has an engineer (E)at the front, a guard (G)at the rear and a passenger (S')exactly half way between them.Both E and G are equipped with yellow signaling lamps.The train passes a station, closely observed by the station master (S).Both E and G use their lamps to send signals.According to both S and S' these signals arrive simultaneously at the instant S' is passing S.According to S, the signal from E will look ______ and that from G will look _____:

Two events occur simultaneously at separated points on the y axis of reference frame S.According to an observer moving in the positive x direction:

A clock is moving along the x axis at 0.6c.It reads zero as it passes the origin (x = 0).When it passes the x = 180 m mark on the x axis the clock reads:

Spaceship A, traveling past us at 0.7c, sends a message capsule to spaceship B, which is in front of A and is traveling in the same direction as A at 0.8c relative to us.The capsule travels at 0.95c relative to us.A clock that measures the proper time between the sending and receiving of the capsule travels:

The work that must be done to increase the speed of an electron (m = 9.11 *10^-31 kg)from 0.90c to 0.95c is:

Relative to reference frame 1, reference frame 2 moves with speed v in the negative x direction.When the origins of the two frames coincide the clocks in both frames are set to zero.An event occurs at coordinate x₁ and time t₁ as measured in reference frame 1 and at coordinate x₂ and time t₂ as measured in frame 2.If , then the coordinates and times of the event are related by:

Two events occur 100 m apart with an intervening time interval of 0.37 $\mu$ s.The speed of a clock that measures the proper time between the events is:

An electron (m = 9.11 * 10^-31 kg)has a speed of 0.95c.The magnitude of its momentum is:

A rocket ship of rest length 100 m is moving at speed 0.8c past a timing device which records the time interval between the passage of the front and back ends of the ship.This time interval is: