(A) At rest, a spaceship has length Lo. In motion at speed v, its length is measured by external observers (at rest) to be L. What is the speed v in terms of the speed of light? (B) In the kitchen of the spaceship the chef sets the oven timer for 2 hours to bake a cake. How much time will the cake spend in the oven, as measured by the external observers ?

A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?

The proper length of one spaceship is three times that of another. The two spaceships are traveling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to have the same length. If the slower spaceship has a speed of 0.354c with respect to Earth, determine the speed of the faster spaceship. (Give your answer to at least 3 significant figures.) |c

An observer measures a spacecraft’s length to be exactly half of its rest length. a) What is the speed of the ship relative to the observer’s frame of reference? b) By what factor do the spaceship’s clocks run slow relative to clocks in the observer’s frame?

Protons in a University accelerator are accelerated to a kinetic energy of 16 times their rest energy. (a) What is the relativistic factor gamma for these protons? (b) What is the speed of these protons? (express in terms of c, the speed of light) (c) What is their kinetic energy in MeV? (d) What is the rest energy of the protons? (e) What is their momentum in MeV/c?

I am so confused on relative length and proper length. is it 7.07 or 70.7?

At relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. effects precede causes in some inertial frames. lengths and times only appear different and have no effect on other measurable quantities.

A spaceship passes a space-dock at speed 0.5 c. (A) Its length as measured by the space-dock personal is 121 m. What is its length as measured by ship's crew members aboard? (B) The space-ship reaches a planet called Theia in 9.2 days according to the time measured by the space-dock personal. What is this time interval as measured by the ship's captain? (C) Space-ship crew were playing a game on board which took them 65 min to finish one round. How long did the crew memebers take to complete one round of the game as measured by the space-dock personal?

At t=0, an alien spaceship passes by the earth: let this be event A. At t=13 min (according to synchronized clocks on earth and Mars), the spaceship passes by Mars, which is 5 light-minutes from earth at the time: let this be event B. Radar tracking indicates that the spaceship moves at a constant velocity between earth and Mars. Just after the ship passes earth, people on earth launch a probe whose purpose is to catch up with and investigate the spaceship. This probe accelerates away from earth, moving slowly at first, but moving faster and faster as time passes, eventually catching up with and passing the alien ship just as it passes Mars. In all parts of this problem, you can ignore the effects of gravity and the relative motion of earth and Mars (which are small) and treat earth and Mars as if they were both at rest in the inertial reference frame of the solar system. Also assume that both the probe and the alien spacecraft carry clocks.   1. Draw a quantitatively accurate…

If relativistic effects are to be less than 1%, then the dimensionless parameter γ must be less than 1.01. At what velocity, in terms of c, is γ = 1.01?