.' A particle accelerator is a device that boosts subatomic particles to speeds close to that of light. Such an accelerator is typically shaped like a ring (which may be several kilometers in diameter): the particles are constrained by magnetic elds to travel inside the ring. Imagine such an accelerator having a radius of 3.0 km. Assume there are two synchronized clocks (P and Q) located on opposite sides of the ring. A certain particle in the ring is measured to travel from clock P to clock 0 in 34.9 us, as registered by those clocks. Let event A be the particle's departure from clock P and event 8 be the particle's arrival at clock Q. Assume the particle contains an internal clock that measures the time between these events, and that the particle travels at a constant speed. Assume the Speed of light is 3.0 it 10's (m/s). (a) What is the particle's speed in the laboratory frame? (1)) Does the synchronized pair of laboratory clocks measure the proper time, the coordinate time, or the spacetime interval between events A and B? (c) Does the particle's internal clock measure the proper time, the coordinate time, or the spacetime interval between events A and B? (d) What is the spacetime interval between these events