A standard violin string is 32.8 cm long from the tuning peg to the bridge. When played open(without pressing a finger against the fingerboard), this string has a fundamental (lowest)frequency of 440 Hz.

(a) What is the wavelength of the wave at this frequency? (Hint: the lowest frequency is alsothe longest wavelength that can produce a standing wave.) b.

(b) What is the speed of the wave on the string? (Hint: this is not the speed of sound!)c.

(c) How far from the end of the string should a finger be placed in order to produce afundamental frequency of 523 Hz.

1) Two planets, A and B, with unknown masses are uniformly rotating around a star maintaining a fixed distance of 4 million kilometers and 5 million kilometers respectively from the star. In the following answer boxes, enter the work done by that star on the two planets, A and B, respectively:

Answer 1 of 2:

Answer 2 of 2:

Can an eccentricity be negative?

3 During a lunar eclipse the moon is in the shadow of the Earth. Why does the moon have a faint red color during the eclipse?

4 Why is the lettering on the front of an ambulance “backwards”

A student on a piano stool rotates freely with an angular speed of 3.05 rev/s . The student holds a 1.05 kg mass in each outstretched arm, 0.779 m from the axis of rotation. The combined moment of inertia of the student and the stool, ignoring the two masses, is 5.53 kg⋅m2 , a value that remains constant.

Calculate the initial kinetic energy of the system.

Calculate the final kinetic energy of the system.

Please list every steps

From the end of a string (whose other end is firmly attached to the ceiling) we attach a mass m1.Similarly, we attach a mass m2 from the end of a different string. Both strings have equal lengths and the masses are barely in contact when they are hanging freely. We pull out both masses so that they form angles θ1and θ2, respectively, with their equilibrium (vertical) positions. We then release the masses such that there is an elastic, heads-on collision when they reach their lowest point. If, after this collision, the masses return to their initial positions given by those angles θ1and θ2, find the ratio of the two masses, m1/m2.

If you spill some water on the kitchen floor, it's obviously very slippery. Yet when you want to turn the pages over in a magazine, you put some water on your hands and it becomes really easy to grip!

Q.

Consider a silicon p-n junction solar cell of area 4 cm². If the doping of the solar cell are NA = 1.0x10¹⁶cm-3 and ND = 1.5x10¹⁹ cm-3 and given τn = 10 μs, τp = 0.5 μs, Dn = 9.3 cm2 /s, Dp = 2.5 cm2 /s and IL = 95 mA, (a) calculate and plot the I-V characteristics of the solar cell, (b) calculate the open-circuit voltage and (c) determine the maximum output power of the solar cell, all at room temperature.

Not having studied General Relativity, I have sometimes been puzzled by references to the behaviour for "classic" black holes

A large fish hangs from a spring balance supported from the roof of an elevator.

Part A

If the elevator has an upward acceleration of 2.90m/s2 and the balance reads 50.0N , what is the true weight of the fish?

Part B

Under what circumstances will the balance read 32.0N ?

Part C

What will the balance read if the elevator cable breaks?

The thickness of a single membrane is about 7 nm. A myelin sheath consists of multiple membranes produced by coils of Schwann cell or oligodendroglia cells. Suppose a myelin sheath results from 100 membranes stacked on top of each other.

A) What is the specific capacitance of the myelin?

B) If the myelin sheath is a right circular cylinder 1 mm long, what is its total capacitance?

C) How much charge does it take to produce a voltage of -70 mV across this capacitor?

D) If the myelin were just 1 membrane--i.e, not myelin--what would be its capacitance? How much charge would it take to produce a voltage of -70mV across the single membrane?

6) A meteor of mass 575 kg has speed 90.0 m/s when it is 800 km above the surface of the Earth. It is falling vertically and strikes a bed of sand in which it is brought to rest in 3.25 m. Ignore the effects of air resistance. a) What is its speed just before striking the sand? b) How much work does the sand do to stop the meteor? c) What is the average force exerted by the sand on the meteor? d) How much thermal energy is produced?

An 8.0 m, 280 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.65, and the ladder makes a 50.0° angle with the ground. How far up the ladder can an 870 N person climb before the ladder begins to slip?

a 240lb man is standing on both feet. the contact area for each shoe is 4 inches by 12 inches. the area of contact for each shoe is 48 inches. what is the pressure exerted on the floor.

An object at rest on a flat, horizontal surface explodes into two fragments, one seven times as massive as the other. The heavier fragment slides 8.50m before stopping. How far does the lighter fragment slide?

Assume that both fragments have the same coefficient of kinetic friction.