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I just need help in the three questionI figure the last question
1)Consider an oxygen molecule (O2) rotating inthe xy plane about the z axis. The axis

passes through the center of the molecule,perpendicular to its length. The mass of each

oxygen atom is 2.66 x 10

-26 kg, and at room temperature the average separation between

the two atoms is

d=1.21 x 10-10 m (the atoms are treated as point masses).a) Calculate

the moment of inertia of the molecule about the zaxis. b) If the angular speed of the

molecule about the

z axis 4.60 x 1012 rad/s, what is its rotational kineticenergy?

Answer: a) 1.95 x 10

-46 kg.m2 b) 2.06 x 10-21 J
2) A wheel rotates with a constant angularacceleration of 3.50 rad/s2. If the angular speed

of the wheel is 2.00 rad/s at

ti = 0, a) through what angle does the wheel rotate in2.00 s?
Answer a) 6300
3)A uniform rod of length L and mass M is free to rotate on africtionless pin passing
through one end as shown in question 4 below. Therod is released from rest in the
horizontal position. a) What is its angular speedwhen it reaches its lowest position?
b) Determine the linear speed of the center ofmass and the linear speed of the lowest
point on the rod when it is in the verticalposition.
Answer: a)
L
3g b) Center of mass speed =3gL
2
1 ;
Linear speed of the lowest point =3gL
(Hint, use mechanical energy conservation)

4 A uniform rod of length L and mass M is attached at one endto a frictionless pivot and is

free to rotate about the pivot in the verticalplane, as shown in Figure below. The rod is

released from rest in the horizontal position. a)What is the initial angular acceleration of

the rod and b) the initial linear acceleration ofits right end? Answer: a)

Answer: a)

L

3

g b) Center of mass speed = 3gL

2

1 ;

Linear speed of the lowest point =3

gL

(Hint, use mechanical energyconservation)

q
Answer: a
Answer: The angular speed of a rotating object can be calculated using the fol...
Answer: a
Answer: (a) A = {a, f, c, d, e} and B = {c, f, 6} A - B = {a, d, e} B - A = {6...
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Question 31. 31. The famous observation that households and firms interacting in markets act as if they are guided by an “invisible hand” that leads them to desirable market outcomes comes from whose 1776 book? (Points : 5) David Ricardo Thorstein Veblen John Maynard Keynes Adam Smith Question 32. 32. Which of the following transactions does not take place in the markets for factors of production in the circu-lar-flow diagram? (Points : 5) a landowner leases land to a farmer a farmer hires a teenager to help with harvest a construction company rents trucks for its business a woman buys corn for dinner Question 33. 33. Which of the following is an example of something economists study? (Points : 5) Kate chooses to work overtime to earn extra income for her family. Ryan sells his economics textbook from last semester to his roommate for half the price of a new textbook. The unemployment rate in the United States is at its highest level in over fifty years. All of the above are correct. Question 34. 34. A production possibilities frontier shifts outward when (Points : 5) the economy experiences economic growth. the desires of the economy’s citizens change. at least one of the basic principles of economics is violated. opportunity costs are lessened. Question 35. 35. In the short run, which of the following is not correct? (Points : 5) Increasing the money supply increases the demand for goods and services. Increasing the money supply encourages firms to hire more workers. Lowering the money supply leads to a higher level of unemployment. Policies that encourage higher employment will also induce a lower rate of inflation. Question 36. 36. Which of the following principles is not one of the four principles of individual decisionmaking? (Points : 5) People face tradeoffs. Trade can make everyone better off. People respond to incentives. Rational people think at the margin. Question 37. 37. When a species of fish dies off due to pollution in a river where it once lived, this is an example of (Points : 5) a market failure caused by an externality. a market failure caused by market power. a market failure caused by equality. There is no market failure in this case. Question 38. 38. If the rent for apartments in New York City were fixed below the current price, then we would expect (Points : 5) an increase in the number of people wanting to rent apartments in New York City. a decrease in the number of people wanting to rent apartments in New York City. an increase in the number of apartments available for rent in New York City. None of the above is correct. Question 39. 39. When an economy is operating inside its production possibilities frontier, we know that (Points : 5) there are unused resources or inefficiencies in the economy. all of the economy’s resources are fully employed. economic growth would have to occur in order for the economy to move to a point on the frontier. in order to produce more of one good, the economy would have to give up some of the other good. Question 40. 40. For economists, statements about the world are of two types: (Points : 5) assumptions and theories. true statements and false statements. specific statements and general statements. positive statements and normative statements.

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