A stick is resting on a concrete step with 2727 of its total length ?L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at ?=41.3∘θ=41.3∘ with respect to the horizontal, as shown in the figure.

If the mass of each bug is 3.093.09 times the mass of the stick and the stick is 16.3 cm16.3 cm long, what is the magnitude of the angular acceleration ?α of the stick at the instant shown?

At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your answer as a multiple of R.

Express your answer in terms of R using two significant figures.

When a 26.0-V emf device is placed across two resistors in series, a current of 11.0 A is flowing in each of the resistors. When the same emf device is placed across the same two resistors in parallel, the current through the emf device is 59.0 A. What is the magnitude of the larger of the two resistances?

At the rate at which the Sun is losing mass in the solar wind, how many years will it take the Sun to lose as much mass as Uranus?

It will take ___ × 10⁸ years.

The accelerating force of the wind on a small 300-kg sailboat is 780 N northeast. If the drag of the keel is 552 N acting west, what is the acceleration of the boat?

A. 4.4 m/s² due east

B. 1.8 m/s² due north

C. 2.6 m/s² northeast

D. 3.2 m/s² north by northwest

E. 0.23 m/s² due east

The uncorrected eye. For the following questions, assume that the distance between the eye lens and the retina is 1.70 cm. In other words, since the image is always formed on the retina, the distance between the lens and the image is always 1.70 cm. Also note that, as is seen in the ray diagram, since the eye lens is converging and the image is on the opposite side of the lens compared to the object, the image is always real.

part e) The nearsighted patient in part c tries to view an object that is very far away (object at infinity). Use the focal length calculated in part c to determine the location of the image. How does this compare to the distance from the eye lens to the retina? What kind of image is seen on the retina?

part f) The farsighted patient in part d tries to view an object that is 25cm away, which a person with normal vision can see clearly. Use the focal length calculated in part d to determine the location of the image. How does this compare to the distance from the eye lens to the retina? What kind of image is seen on the retina?

calculated pt c: f= 1.70cm calculated pt d: f= 1.63cm

Two children, A (mass 25 kg ) and B (mass 50 kg ), are playing on a merry-go-round (which you can assume is a solid disk with mass 225 kg  and radius 1.5m). Assume that any friction on the axle of the merry-go-round is negligible.

(A) A starts spinning the merry-go-round, giving it an angular velocity of 7 rad/s, then she stops pushing it. B runs with a speed of 6 m/s directly toward the center of the merry-go-round. He jumps and lands on the edge of the merry-go-round. What is the angular speed of the merry-go-round once B lands on it?

(B) After landing, B walks to the center of the merry-go-round. What is the angular speed of the merry-go-round when he gets to the center?

(C) While B is in the center of the merry-go-round, A runs up with a speed of 7 m/s  tangentially in the same direction the merry-go-round is spinning, jumping onto the edge of the merry-go-round. What is the angular speed of the merry-go-round after A lands on it?

(D) A stays in place while B walks back to the edge of the merry-go-round. What is the angular speed of the merry-go-round when he gets there?

1. If you have the same mass of water in a bathtub at the same initial temperature your hot bath will last ______ if you were somehow able to increase the specific heat of the water?

a. a shorter time

b. a longer time

c. the same time

2. The Ehrenfest Dog/Flea problem is most similar to the following experiment or problem:

a. a phase change problem

b. a calorimeter problem

c. a Bernoulli's principle problem

d. a specific heat problem

3. In polar areas we have ice floating on water and ice on land. Which of those will raise the sea level by melting?

a. both

b. floating ice melting will raise the sea level, land ice melting will not

c. floating ice melting will not raise the sea level, land ice melting will

d. neither

6. A hydraulic lift has a small cylinder with an area of 0.010 m². The large cylinder of the lift has an area of 1,000 m². If we put a weight of 100 Newtons on the cap of the small cylinger what is the upward force in the large cylinder?

a. 10,000 N

b. 100,000 N

c. One million N

d. ten million N

e 100 million N

Light incident at Brewster’s angle is reflected and fully polarized. What are some ways this can be used to generate linear polarized light? Compare this method to polarizers.

A hollow, spherical shell with mass 1.80 kg rolls without slipping down a slope angled at 40.0 ∘.

Part A

Find the acceleration.

Take the free fall acceleration to be g = 9.80 m/s2

partB

Find the friction force.

Take the free fall acceleration to be g = 9.80 m/s2

Part C

Find the minimum coefficient of friction needed to prevent slipping.

A 20-cm-radius ball is uniformly charged to 62 nC .

A. What is the ball's uniform charge density (C/m3)?

B. How much charge is enclosed by spheres of radii 5, 10, and 20 cm?

C. What is the electric field strength at points 5, 10, and 20 cm from the center?

Please define moment of arm (regarding physics) in a way I can understand. it is referring to the arm on a mousetrap car that was built. I need to discuss its effectiveness

1) A 6.47 mm high firefly sits on the axis of, and 11.5 cm in front of, the thin lens A, whose focal length is 6.11 cm . Behind lens A there is another thin lens, lens B, with a focal length of 20.7 cm . The two lenses share a common axis and are 61.5 cm apart. Is the image of the firefly that lens B forms real or virtual? What is the height of this image? Express the answer as a positive number (nm)?

image distance from lens B cm:

2)

One of the inevitable consequences of aging is a decrease in the flexibility of the lens. This leads to the farsighted condition called presbyopia (elder eye). Almost every aging human will experience it to some extent. However, for the myopic, or nearsighted, person it is possible that far vision will be limited by a subpar far point and near vision will be hampered by an expanding near point. One solution is to wear bifocal lenses that are diverging in the upper half to correct the nearsightedness and converging in the lower half to correct the farsightedness.

Suppose one such individual asks for your help. The patient complains that she can’t see far enough to safely drive (her far point dfar=114 cmd and she can’t read the font of her smart phone without holding it beyond arm’s length (her near point dnear=81.0 cm? Prescribe the bifocals that will correct the visual issues for your patient.

a)What is the focal length fns of the part of the bifocal lens that corrects the patient's nearsightedness?

b) What is the focal length ffsffs of the part of the bifocal lens that corrects the patient's farsightedness?

what is the sensitivity off CCD & Wavenumber in Raman spectroscopy and how it affects the intensity of the peak??