TASK DEFINITION: In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
PROBLEM: A territory invaded during this war asked to borrow gunpowder to salute a ship that had come to conquer it. One island invaded in this war had been overseen by the "Butcher" Weyler. An admiral in this war stated "You may (*) fire when you are ready," prior to beginning the Battle of Manila Bay. One battle in this "splendid little war" saw San Juan Hill charged upon by the Rough Riders and Teddy Roosevelt. Hearst's and Pulitzer's yellow journalism as well as the explosion of the USS Maine helped instigate this war. For 10 points, name this war which led to the capture of the Philippines, Puerto Rico, and Cuba by the United States.

SOLUTION: History

PROBLEM: The differential of this quantity, which is given in general by minus Boltzmanns constant times the thermodynamic temperature times the natural logarithm of the partition function, is non-positive for isothermal, isometric processes, so it is minimized for equilibria in constant-temperature, constant-volume systems. It gives the available useful energy from a closed system, so it is usually symbolized A from the German for work. The p-V Legendre transform of a similar quantity named for Gibbs, it is given by the internal energy minus the absolute temperature times the entropy. For 10 points, name this thermochemical quantity, a thermodynamic potential named for a German physicist.

SOLUTION: Science

PROBLEM: One equation used to study the anisotropy in this process is called Green's function. This process and its converse can be observed in outer hair cells, and it is implemented in Scanning Tunneling microscopes. Materials exhibiting this effect also exhibit the Debye-Sears effect where they establish acoustic waves when vibrated at fixed frequencies if placed in liquid. Poling is necessary to induce this effect in ceramic materials, and Rochelle salts are exhibit this effect upon compression, which was discovered by Pierre and Paul-Jacques Curie. For ten points, name this effect the generation of electric potential in response to an applied mechanical strain.

SOLUTION:
Science