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largest factory by annual production volume. If the rocket has a rest mass of 1.40 x 105 kg, alongside a relativistic total energy of 3moc2,
largest factory by annual production volume. If the rocket has a rest mass of 1.40 x 105 kg, alongside a relativistic total energy of 3moc2, calculate: (a) The magnitude of the rocket's relativistic momentum. [15] (b) The speed the rocket is travelling at. [10] (c) If the distance between Albuquerque, USA and Shanghai, China is 11,084 km in the frame of reference of the Earth, what distance does the freshly launched rocket 'see'? [10] (d) The payload of the New Glenn rocket is equipped with two containers: one housing 1 gram of electrons and the other housing 1 gram of positrons (the remainder of the 1.40 x 105 kg is dedicated to propulsion and containment systems). When electrons and positrons interact through low-energy collisions (i.e., both containers are in the inertial frame of the missile), they annihilate forming two photons via the reaction: Calculate the total energy released by the annihilation process in the frame of reference of the missile (i.e., assume the Lorentz factor equals 1), and what part of the electromagnetic spectrum the generated photons belong to. (Helpful hint: The rest mass of an electron is 9.11 x 10-31 kg) [20]
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