Three children, each of mass 15 kg, ride at the edge of a frictionless merry-go-round of mass 163 kg and radius 1.2 meters.  The children jump off outward, directly away from the center, taking zero angular momentum with them.   If the angular velocity of the merry-go-round before they jumped was  = 0.3 rad/s, what is its angular velocity after they jump?

Treat the merry-go-round as a solid cylinder.

2 sig figs, units (rad/s)

Lets say Iron Man is falling straight down at a rate of 52.7 m/s (about terminal velocity) and he has a mass of 279 kg. Hulk, who has a mass of 521 kg, jumps up at an angle and is traveling at 23.5 m/s at an angle of 50˚ right before catching Iron Man.

A) What is the final magnitude of the velocity of Hulk and Iron Man immediately after Hulk catches him?

(b) At what angle are they falling? Measure from the horizontal

Consider the standard Keynesian ISLM model of the economy.

a.    How does a change in animal spirits which inspires fear of investment effect ISLM?
b.    How does this effect the aggregate demand and supply?
c.    What will happen to the level of output and price level in the short run and in the long run?
d.    Illustrate the above process by deriving the IS and LM before and after the shock, showing the change in aggregate demand and/or aggregate supply, and by showing the short run and long run changes of P and Y

An object accelerates due west from rest, at a rate of 8m/s/s for 20s. After that time, it instantaneously turns 30 degrees north of west and moves with constant speed for 10s (at the speed it was going before turning). Finally it turns up, so that its path has an angle of elevation of 50 degrees above the horizontal and slows down to rest at a rate of 3m/s/s.

What is the objects displacement when it arrives at rest?

Thank you in advance.

Assume that the age at onset of a certain disease is distributed normally with a mean of 41 years and a variance of 240.25 years.

a) What is the probability that an individual afflicted with the disease developed it before age 38?
probability =

b) What is the probability that an individual afflicted with the disease developed it after age 49?
probability =

c) What is the probability that an individual afflicted with the disease developed it between ages 38 and 49?
probability =

Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as 91.94.

At 700 K acetaldehyde decomposes in the gas phase to methane and carbon monoxide. The reaction is:
CH3CHO(g)→CH4(g)+CO(g)
A sample of CH3CHO is heated to 700 K and the pressure is measured as 0.27 atm before any reaction takes place. The kinetics of the reaction are then followed by measurements of total pressure and these data are obtained:

Find total pressure after 1.47×10⁴ s .

• How is wage compensation different between a competitive market versus a monopsony?
• Why was the market for professional athletes monopsonistic before the 1970’s?
• Explain what factors led to the market for professional athletes becoming more competitive after the 1970’s.
• How did researchers test whether the market for professional athletes was competitive?

Here is the article to answer the question from:

Reading- Monopoly and Monopsony- A ComparisonFile

Please do not use outside sources, other than this article

please answer all 4 questions. I need brief and correct answers. thank you in advance.

1. Why is it important to mix the solutions after adding the reagents? How is mixing done in this experiment?

2. What is the reason for rinsing the precipitates before further testing?

3. What two things are extremely important to remember when centrifuging?

4. Why is it possible to separate Cu+2 from Al+3 and Fe+3 with NH4OH but not with NaOH? (Hint, consider solubility properties.)

You've recorded the following prices and dividend payments for a stock:

What was the dollar-weighted (money-weighted) rate of return?

A steam thermoelectric plant operates a Rankine cycle with overheating. Water enters the pump as saturated liquid , 7.7 kg/s. The efficiency of the pump is 0.9 The water enters the high pression turbine at 12 500 kPa and 550°C, after that steam overheats at a constant pressure of 2000 kPa until 450°C before it expands on the low pressure turbine. The efficiency of both turbines is 0.85. The vapor quality when it enters to the condenser is 0.95 Determine the thermal efficiency of the cycle.