Lieutenant Jones reports to Inspector Smith. "We have two suspects, a Romulan ship and a Klingon freighter. Both claim to be travelling at constant speed and direction through the relativistic shipping lanes, though the Klingons are moving much faster. We asked the captain of each ship what she knew about the mystery object. The Romulan captain reported that it had a total energy of 7.63 x 10^(39) Joules, and the Klingon captain said the total energy was 1.52 x 10^(40) Joules."
Smith grunts. "That's consistent with what we know about their speeds. Did they say anything about the momentum of the object?"
Jones answers, "Yes, we questioned their science officers. The Romulans measure 1.27 x 10^(31) kg*m/s, and the Klingons report 3.25 x 10^(31) kg*m/s."
Smith thinks for a moment, then slams his fist on the table. "That's it! We've got them!"
Answers to Problem 1
On a long, straight, East-West stretch of the highway near Rochester, the police have two options: they can place a monitoring station hidden in a clump of trees, about 100 meters to the south of the road, and measure the frequency of cars going past that spot; or, they can place a squad car in the median strip, at the far eastern end of the straight section, and measure the frequency of cars coming toward the officer there.
Answers to Problem 2
Answers to Problem 3
Points "A" and "B" represent the alarm clocks of Bob and Jane both going off, and point "C" is when the Biker passes Jane. At "C", the Biker's clock reads 5 m.
The biker flashes his taillight at some time before he passes Jane. The flash of red light reaches Bob at point "D".
Answers to Problem 4
Answers to Problem 5