Two children (m = 31.0 kg each) stand opposite each other on the edge of a merry-go-round. the merry-go-round, which has a mass of 1.78 ✕ 10^2 kg and a radius of 1.2 m, is spinning at a constant rate of 0.48 rev/s. treat the two children and the merry-go-round as a system. (a) calculate the angular momentum of the system, treating each child as a particle. (give the magnitude.) (b) calculate the total kinetic energy of the system. (c) both children walk half the distance toward the center of the merry-go-round. calculate the final angular speed of the system.

Find v1, the speed of the fluid in the left end of the main pipe. express your answer in terms of h1, h2, g, and either a1 and a2 or γ, which is equal to a1a2.

Five structural isomers have the formula c6h14. where needed, draw the structure and give the iupac name of all five isomers.

Sometimes questions that involve graphs will ask you to consider the effect of a changing factor or factors. problem​ statement: right arrow the line labeled d1 in the graph to the right shows the number of cups of lemonade that caroline and emily can sell at their lemonade stand at various prices. caroline and emily have noticed that they sell more lemonade when​ it's hotter. click anywhere on the graph to open a window with a control labeled temperature. if you use the slider to change the​ temperature, the line will shift. change the temperature from 80 degrees to 100 degrees. ​question: right arrow at a price of​ $0.50, how many more or fewer cups of lemonade do caroline and emily sell when the temperature is 100 degrees than when the temperature is 80​ degrees? ​(note: indicate the change in cups of lemonade​ sold: fewer will be a negative number and more will be a positive​ number)