A proton and anti-proton with rest energy 8f, 3.0 108 What is the relative speed of positron and electron running into each other, right before collusion in unit of s m/s). After travelling in a vacuum chamber, the two particles collide head on to produce a massive Hint: assume the speed of light ,3*10° m/s = one unit, and the answer should be, 0.25, 0.5, 0.75, 1, 2, 3, .., n

Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.

If ever the human race would need to leave Earth, the Trappist-1 system might make a good destination – the star there has seven temperate terrestrial planets, a few of which are close to Earth’s size and mass. It’s 39.6 light years away, though, so it could take a long time to get there. (a) If the spaceship had a speed of 0.95c, how long would the journey take from the Earth’s reference frame? (b) How long would the journey be for the passengers on the spaceship?

A muon is determined to live for 2.2E[-6]s in the muon's rest reference frame. If a muon is traveling near the speed of light relative to an observer, the observer will measure the duration of the muon's life to be ...

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An alpha particle has a mass of  6.4E-27kg is propagating at relativistic speeds and has an energy of 6.48GeV (so 6.48E9 eV) What is the speed of the particle, expressed in units of c, c being the speed of light. Keep three significant digits.

A particle's dynamics are considered "relativistic" when its velocity is a significant fraction of the speed of light.  For example, the mass of a moving particle seen by a stationary observer increases in proportion to the square root of 1/(1 - (v/c)2).  For typical speeds in the everyday world it is not noticeable, but take a fast moving fundamental particle and you may have apparent mass increases or changes in its lifetime as a consequence of time dilation.   Look at this factor for the electron you measured at 100 V in the glass globe. Pick the best answer.     The effect is less than 0.1 %.     The effect is around 1%.     The effect is around 10%.     The effect is a factor of 2 change in mass.

An electron-positron collider creates muons through the reaction et +e →µ* +µ. In the center-of-momentum frame, what is the minimum speed of the electron for this reaction to occur, in terms of the masses me and mu of the electron and muon? Oc(1-) 2m 7ne - my O This process can occur at any speed.

The kinetic energy of a deuteron is twelve times greater than its rest energy. (The mass of a deuteron is 3.34 ✕ 10−27 kg) Determine its total energy in millions of electron volts, or MeV. Determine its speed, expressed as a multiple of the speed of light c, to the nearest 0.001c. (Round your answer to at least three decimal places.)

Electrons are accelerated to an energy of 13.0 GeV in the 3.00 km long Stanford Linear Accelerator. (a) What is the γ factor for the electrons?(b) What is their speed? Answer to 10 decimal places. c(c) How long does the accelerator appear to them? cm