1. Two cannons, a & b, positioned at Xa = 0 km and Xb = 1,5 km, both shoot at an approaching rocket. a shoots at t = 0 and b shoots at t = 1 µs. The rocket’s detector detected both cannons shot at the same time. What is the speed of the rocket? 2. Three light sources, A, B, C emit monochromatic light of frequency f0. Relative to A, B has the speed of +v and C has the speed of -v. Determine the light frequency accepted by C from A and B if
a. B approaches C
b. B recedes C
3. A particle has the energy of 4m0c^2. What is the particle’s momentum? What is the particle’s energy if the momentum = 2m0c?
4. A high-energy proton collides with another proton at rest so that a particle, π^0 is created. Determine the energy needed by the proton to make this happen. Proton mass = u, π^0 mass = 0,1449 u, u = 1.67 x 10^-27 kg.