Show that if two particles with mass collide and fuse together, the mass of the fused system will always be larger than the collective masses of the individual components. Along with your proof, account for the increase in mass.
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If two particles with mass collide and fuse together, the mass of the fused system will always be larger than the collective masses of the individual components.
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- For spacelike separated events show that: i) the two events cannot be causationally related, that is, there exists a reference frame such that the two events can occur simultaneously. ii) there exists no such reference frame where the two events can occur in the same (x, y, 2) location within space.NiloAn asteroid of mass 1000 kg travels through space with speed a) What is the total energy of the asteroid? (You can leave your response as a math function, but please simplify as much as you can.) b) The asteroid has a rest length of 20 m. What length would an observer on Earth see? (You can leave your response as a math function, but please simplify as much as you can.)
- Consider a particle that, once it comes to existence, decays on average after a short time t, where t is a time measured in the particle's frame of reference. If such a particle travels with speed v in an observer’s frame, what is the distance the particle has travelled as observed by the observer?(a) A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of 35.0%. How much mass is destroyed in one year to produce a continuous 1000 MW of electric power? (b) Do you think it would be possible to observe this mass loss if the total mass of the fuel is 104 kg ?A particle of mass M, which was initially at rest, is hit by a particle of mass m, which is travelling at the speed Vi. The two particles collide and travel in different directions at the same pace Vf. Find the mass ratio M/m in terms of ß = vi/c, assuming a relativistic, elastic collision. Demonstrate that this reduces to Vi 0, the nonrelativistic meaning.
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