Consequences of Relativity Practice Problems

Envision a hypothetical scenario where a novel particle, rutron (m = 1.52 × 10 ^-27 kg), moves to the right and its antiparticle ( anti-rutron) moves to the left with the same speed. When these particles inevitably collide, they annihilate each other, producing two gamma-ray photons of wavelengths (λ = 1.2 × 10^⁻6 nm) and a vitons (m = 8.21 × 10 ^-31 kg) and anti-vitons pair with a speed of 0.92c. Determine the initial speed of the rutron and anti-rutron, in terms of c, before the collision.

If a hypothetical particle, tepton has a total energy of 3.0 GeV, calculate the speed (v) of the tepton (m = 9.11 x 10^-31 kg) in terms of the speed of light (c). Solve using the concepts of relativity.

Bob is at x = 1242 m from the origin and observes light from two separate events. Event "A", a flaregun fired at the origin (x = 0m), and Event "Q", another flaregun fired at x = 1850 m from the origin. The light from both events reaches him simultaneously at 9.2 μs. Determine the original times when each of the flares was fired.