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Question 1 

Suppose the bobby pin industry is perfectly competitive. The price of a packet of bobby pins is $2.00. Pins and Needles, Inc. is a firm in this industry and is producing 1,000 packets of bobby pins per day at the point where the MC = MR. The average cost of production at this output level is $1.50 per packet.
a.    What is the marginal cost of the 1,000th packet?
b.    Is this firm making an economic profit, zero economic profit, or an economic loss? How much?
c.    Is the firm in long-run equilibrium? Why or why not?

Answer

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Question 2 

Two police cars have identical sirens that produce sound of frequency of 570 Hz. A stationary listener is standing between two cars. One car is parked and the other is approaching the listener and both have their sirens on. The listener measures 9.0 beats per second. Find the speed of the approaching police car. The speed of sound is 340 m/s.

Answer

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Question 3 

A very small 4.8-g particle carrying a charge of +9.9 μC is fired with an initial speed of directly toward a second small 7.8-g particle carrying a charge of +  The second particle is held fixed throughout this process. If these particles are initially very far apart, what is the closest they get to each other? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Answer

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Question 4 

A 1.15-kg beaker (including its contents) is placed on a vertical spring scale. When the system is sent into vertical vibrations, it obeys the equation y = (2.3 cm)cos(17.4 s-1 t). What is the spring constant of the spring scale, assuming it to be ideal?

Answer

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Question 5 

A triatomic molecule is oriented as follows along the x-axis:  atom 1 of mass m is at the origin, atom 2 of mass 2m is at x = a, and, atom 3 of mass 3m is at x = 2a.  What is the moment of inertia of this molecule about the y-axis?
A) 2ma2
B) 3ma2
C) 12ma2
D) 14ma2

Answer

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