Project #96451 - Special relativity

  1. (a)  A rocket propels itself along a straight line in empty space by burning its fuel in such a way that the velocity of the exhaust gases ejected from the nozzle is vin the instantaneous (inertial) rest frame of the rocket. If the rocket starts from rest with a total mass M(icluding fuel), find the relationship between its velocity and mass during its journey.

  2. (b)  Typical chemical fuels yield exhaust speeds of the order of 10m/s. Let us imagine we had a fuel that gives v= 3 × 10m/s. What initial mass of fuel would the rocket need in order to attain a final velocity of 0.1for a final mass of 1 ton?

  3. (c)  Matter-antimatter fuel yields v≡ 1 (the exhaust consists of photons). What initial mass of fuel would be required in this case (in order to attain a final velocity of 0.1for a final mass of 1 ton)? 

Subject Science
Due By (Pacific Time) 11/28/2015 12:00 am
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