Asample of a diatomic ideal gas has pressure p and volume v. when the gas is warmed, its pressure triples and its volume doubles. this warming process includes two steps, the first at constant pressure and the second at constant volume. determine the amount of energy transferred to the gas by heat. (here we define a "diatomic ideal gas" to have cv = 5 2 r and cp = 7 2 r. use any variable or symbol stated above as necessary.)

Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?

In one or two sentences, describe how you did in the balancing game. in a few more sentences, explain one strategy you learned for balancing more complex equations.

An athlete is holding 24 lb of weights at a height of 6 inches above the stack as shown. to lower the weights, she applies a constant force of 5 lb to the handle. determine the velocity of the weights immediately before they hit the stack.