The power available from a wind turbine is calculated by the following equation: upper p equals one half upper a rho nu cubed where pequalspower [watts], aequalssweep area (circular) of the blades [square meters], rhoequalsair density [kilograms per cubic meter], and nuequalsvelocity [meters per second]. the world's largest sweep area wind turbine generator in spain has a blade diameter of 420 feet [ft]. the specific gravity of air is 0.00123. assuming a velocity of 30 miles per hour [mi/h] and the power produced is 5 megawatts [mw], determine the efficiency of this turbine.

If a hiker that weighs 600 newtons climbs a 50 meter hill, how much gravitational potential energy has the hiker gained?

You are a researcher for a golf club manufacturer. you are given two identical looking cubes of a metal alloy. you are informed that they are made of the exact same material, but one is crystalline, whereas the other is amorphous. it is your job to determine which one is amorphous this one is more stress-resistant and is useful in reinforcing golf clubs. which of the following is the best way to determine which is which? a. determine the density of each cube. the more dense one is the amorphous solid. b. melt both cubes and look for a broader range of melting temperatures. the one that melts over a broader range of temperatures is the amorphous solid. c. determine the density of each cube. the less dense cube is the amorphous solid. d. melt both cubes and measure the range of melting temperatures. the one that melts over a narrower range of temperatures is the amorphous solid.

Given the data calculated in parts a, b, c, and d, determine the initial rate for a reaction that starts with 0.85 m of reagent a and 0.70 m of reagents b and c?