Calculus-based physics rotational inertia:

a) Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 2.56 kg·m² about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 309 rev/min. The second disk, with rotational inertia 7.07 kg·m² about its central axis, is set spinning counterclockwise at 760 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 760 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?

b) The uniform rod (length 0.309 m) in the figure rotates in the plane of the figure about an axis through one end, with a rotational inertia of 0.275 kg·m². As the rod swings through its lowest position, it collides with a 0.242 kg putty wad that sticks to the end of the rod. If the rod's angular speed just before the collision is 3.21 rad/s, what is the angular speed of the rod-putty system immediately after the collision?

1. Suppose rain falls vertically into an open cart rolling along a straight horizontal track with negligible friction. As a result of the accumlating water, the kinetic energy of the cart.

a. increases
b. does not change
c. decrease

2. two marbles, one twice as heavy as the other, are dropped to the ground from the roof of a building. Just before hitting the ground, the heavier marble has

a. as much kinetic energy as the lighter one
b. twice as much kinetic energy as the lighter one
c. half as much kinetic energy as the lighter one
d. four times as much kinetic energy as the lighter one
e. impossible to determine

3. A person attempts to knock down a large wooden bowling pin by throwing a ball at it. The person has two balls of equal size and mass, one made of rubber and the other of putty. The rubber ball bounces back, while the ball of putty sticks to the pin. Which ball is most likely to topple the bowling pin?

a. the rubber ball
b. the ball of putty
c. makes no difference

4. We launch a 1 kg block with spring along a rough surface (coefficient of kinetic friction of 0.45).
a.If a spring compression of 0.25m launches the block a total of 2.5m, what is the spring constant of the spring?
b.How much compression is required to reach a target 5.0m away?

1. Evaluate the heat exchange through the fin and compare it to the case where the tip is insulated. Discuss the length of fin when the two treatments are approximately the same. (hint: you might find expressing the solution to the differential equation in the e^xform to be more convenient)

A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 3 410 rev/min. Taking the extremes of its position relative to its center point as ±4.50 cm.

(a) Find the magnitude of the maximum velocity of the piston.
m/s

(b) Find the magnitude of the maximum acceleration of the piston
km/s²

Is there any general relation between the amount of charge possesses and its range in air? Were any bremsstrahlung produced in an experiment of absorption of beta particles ? How may bremsstrahlung production be minimized?

A 67 kg window cleaner uses a 11 kg ladder that is 5.9 m long. He places one end on the ground 2.7 m from a wall, rests the upper end against a cracked window, and climbs the ladder. He is 3.3 m up along the ladder when the window breaks. Neglect friction between the ladder and window and assume that the base of the ladder does not slip. When the window is on the verge of breaking, what are (a) the magnitude of the force on the window from the ladder, (b) the magnitude of the force on the ladder from the ground, and (c) the angle (relative to the horizontal) of that force on the ladder?

In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.2 cm . A second projectile causes the pendulum to swing twice as high, h2 = 4.4 cm . The second projectile was how many times faster than the first?

What is the density of a woman who floats in fresh water with 2.25% of her volume above the surface? (This could be measured by placing her in a tank with marks on the side to measure how much water she displaces when floating and when held under water.) Round your answer to one decimal place.

ρ woman =____ kg/m3

What percent of her volume is above the surface when she floats in seawater (which as a density of 1025 kg/m3)? Round your answer to two decimal places.

Percentage above = ____%

A cyclist rides 6.2 km east, then 9.28 km in a direction 27.27 degrees west of north, then 7.99 km west.

A. What is the magnitude of the total displacement, in km?

B. What is the direction of the displacement, measured in degrees west of north?

A 3.0 m length of wire is made by welding the end of a 100 cm long silver wire to the end of a 200 cm long copper wire . Each piece of wire is 0.80 mm in diameter. The wire is at room temperature, so the resistivities are as given in the table below. A potential difference of 5.0 V is maintained between the ends of the 3.0 m composite wire.

(a) What is the current in the copper section?. A

(b) What is the current in the silver section? A

(c) What is the magnitude of vector E in the copper? V/m

(d) What is the magnitude of vector E in the silver? V/m

(e) What is the potential difference between the ends of the sliver section of wire? V

dk

A) If we assume a solid cylindrical cable, what minimum diameter is needed if the voltage decrease along this run is to be no more than 1.0 % of the transmission voltage? The resistivity of aluminum is 2.7×10−8Ω⋅m.

Copy and paste the following questions in the submit box below and find the location where the following information is found:

Give the line numbers where the hypothesis occurs.
Give the line numbers where the experiment is described.
Give the line numbers where the results are presented.
Do you see signs of pseudoscience in this article, if so, Give the line numbers. Briefly describe the graph:

1. 1 Pesticides suspected in mass die-off of bees Text excerpted from March 29, 2012|By Eryn Brown, Los Angeles Times

2. 2 Scientists have identified a new suspect in the mysterious die-off of bees in recent years � a class of

3. 3 pesticides that appear to be lethal in indirect ways. The chemicals, known as neonicotinoids, are designed

4. 4 to target a variety of sucking and chewing insects, including aphids and beetles. Bees are known to ingest

5. 5 the poison when they eat the pollen and nectar of treated plants, though in doses so tiny that it was not

6. 6 seen as a threat.

7. 7 A study published online Thursday by the journal Science indicate that the pesticides are not altogether

8. 8 benign. The study used miniature radio frequency chips to track honeybees and found that the pesticide

9. 9 impaired their ability to navigate back to the hive after a feeding expedition.

10. 10 Beekeepers became alarmed that honeybees were vanishing from their nests across the U.S. in the fall of

11. 11 2006 � victims of a perplexing and pervasive malady now known as colony collapse disorder that wiped

12. 12 out as many as 90% of bees, in some cases. Scientists don't know exactly why the ailment strikes, but

13. 13 they believe it results from a combination of habitat degradation, infection by pathogens and parasites and

14. 14 pesticide use. Researchers have also documented sharp declines in bumblebees, which are important crop

15. 15 pollinators but are not domesticated.

16. 16 Neonicotinoid pesticides were developed to eradicate insects without threatening mammals. The

17. 17 chemicals, which are incorporated into the tissues, leaves and flowers of plants, target the central nervous

18. 18 system, leading to paralysis and death. Farmers began using them in the early 1990s.

19. 19 Past studies have explored effects of neonicotinoids in the lab, finding that they might harm bees'

20. 20 memory, learning and orientation. But the new study is among the first to examine the pesticides' effects

21. 21 on bees under real-world conditions.

22. 22 The study led by researchers from the French National Institute for Agricultural Research, or INRA,

23. 23 focused on honeybees, which have been victimized by colony collapse disorder throughout the Northern

24. 24 Hemisphere.

25. 25 First they glued special radio frequency identification tags to the bees' thoraxes. Then they fed the bees

26. 26 sublethal doses of a neonicotinoid and monitored the insects as they attempted to return to the hive.

1. 27 The research team discovered that the "intoxicated" bees were about twice as likely as unexposed bees to

2. 28 die because they couldn't find their way home. Computer simulations suggested that these no-shows could

3. 29 cause hive populations to crash in a matter of weeks, said study coauthor Mickael Henry, a researcher at

4. 30 INRA in Avignon. The weakened colonies would be especially vulnerable to environmental

5. 31 stresses such as climate change or disease, he added.

32

1. 33 The new findings lend support to the notion that pesticides contribute to colony collapse, but

2. 34 leave open the likelihood that habitat destruction and illness play a role too, scientists said.

3. 35 "There are a whole lot of things that stress the honeybees," said Eric Mussen, a honeybee

4. 36 specialist at UC Davis. "You can't point your finger at one thing and say, 'That is the problem.' "

5. 37 Mussen cautioned against singling out neonicotinoids when other pesticides could have similar

6. 38 effects on bees. Besides, he said, many insects have built up immunity to neonicotinoids, so

7. 39 farmers are likely to switch to different pesticides anyway.

B: Bees released at a random location a kilometer away from the hive. Vertical axis shows relative number of bees returning to hive (1 = 100%)

Graph from: Henry, M., Beguin, M., Requier, F., Rollin, O., Odoux, J., Aupinel, P., Aptel, J., Tchamitchian, S., & Decourtye, A. (2012). A Common Pesticide Decreases Foraging Success and Survival in Honey Bees Science

A spelunker is surveying a cave. He follows a passage that goes 179 m straight west, then 211 m in a direction 45° east of south, then 285 m at 30° east of north. After a fourth unmeasured displacement he finds himself back where he started. Use a scale drawing to determine the fourth displacement.

If a pluck on a guitar is restricted and you hear a click rather than a steady long tone, how is that a wider frequency bandwidth?