IP Two bicycles approach one another, each traveling with a speed of 7.50 m/s . If bicyclist A beeps a 310 Hz horn, what frequency is heard by bicyclist B? Which of the following would cause the greater increase in the frequency heard by bicyclist B: (i) Bicyclist A speeds up by 1.50 m/s, or (ii) bicyclist B speeds up by 1.5 m/s?

Estimate the Kelvin-Helmholtz lifetime in year of a 17 solar mass main sequence star. You will need the mass-luminosity relation and main sequence stellar class G0.

M / Mo = 1.1

R / Ro = 1.05

L / Lo = 1.3

a) Consider an ideal gas in a container with a frictionless piston. The gas is isothermally compressed at 26 degrees

Celsius as 940 Joules of work is done on it. Determine the resulting change in entropy of the gas, the change in entropy

of the environment and the universe. (assume the temperature of the environment is a constant 22 Celsius)

b) 20 grams of ice at 0 Celsius melt while being left at room temperature of 22 Celsius. After melting, its temperature

rises to 22 Celsius. Determine the resulting change in entropy of the gas, the change in entropy of the environment and

the universe.

c) If you are rolling a pair of dice, what is the entropy of the mactrostate 2, macrostate 5, and macrostate 7? Imagine a

pair of dice starts with a macrostate of 2 and then you roll it 5 times and get the following results: 5, 9, 7, 3, 8. What is

the resulting change of the entropy of the universe for each roll and for all 5 rolls put together?

Answers should be:

a) ΔSgas = -3.14 Joule/K, ΔSenvironment = +3.18 Joule/K, ΔSuniverse = +.04 Joule/K

b) ΔSice = +30.9 Joule/K, ΔSenvironment = -28.8 Joule/K, ΔSuniverse = +2.1 Joule/K

c) S2 = 0, S5 = kln4, S7 = kln6

ΔS1 = kln4, ΔS2 = 0, ΔS3 = kln(1.5), ΔS4 = -kln3, ΔS5 = kln(2.5), ΔStot = kln5

A beam of white light (400 – 700 nm) is shone at a small equilateral quartz prism. 1.5 m behind the prism is a large screen. What is observed on the screen, and where, if (A) the beam is incident on a vertex of the prism, and (B) if the beam is incident normal to one of the faces? Assume both the prism and the width of the beam are non-zero but negligible relative to the prism-screen distance. The index of refraction of quartz for 400 nm light is 1.47 and it is 1.45 for 700 nm light.

Please answer part B numerically, many answers are claiming the screen would show white light in part B. However, wouldn't the beam pass following the normal when entering, however diffract when exiting the prism?

Gamma rays of 1 MeV are Compton scattered at an angle of 80 degrees. What is the energy of the scattered photons and electrons? Determine the speed and angle of the electrons after the collision.

Learning Goal: To practice Problem Solving Strategy 37.3 Lorentz Transformations. An enemy spaceship is moving toward your starfighter with a speed of 0.400 c , as measured in your reference frame. The enemy ship fires a missile toward you at a speed of 0.700 c relative to the enemy ship. If you measure the enemy ship to be 1.00×107 km away from you when the missile is fired, how much time t, measured in your frame, will it take for the missile to reach you?

Part D

Suppose that the missile has an internal clock that is turned on when the missile is fired. What time t∗ would the clock show just before the missile hits your startfighter?

Express your answer in seconds to three significant figures.

An insulated beaker with negligible mass contains liquid water with a mass of 0.235 kg and a temperature of 79.0 ∘C
How much ice at a temperature of -24.2 ∘C must be dropped into the water so that the final temperature of the system will be 30.0 ∘C ?

Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 KJ/kg⋅K , and the heat of fusion for water to be 3.34×10⁵ J/kg

M ice = ?

The iodine isotope 13153I is used in hospitals for diagnosis of thyroid function. 822 μg are ingested by a patient. The half-life the iodine isotope 13153I is 8.0207 days and mass is 130.906 u.

Determine the activity immediately after ingestion.

Determine the activity 1.00 h later when the thyroid is being tested.

Determine the activity 3.0 months later. Suppose that each month has 30 days.

Three small spheres, each with charge 4.00  mC , are arranged in a line, with sphere 2 in the middle. Adjacent spheres are initially 7.50  cm apart. The spheres have masses m1= 10.0  g , m2= 95.0  g , and  m3= 10.0  g , and their radii are much smaller than their separation. The three spheres are released from rest. Ignore gravity and any possible friction.

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What is the magnitude of the acceleration of sphere 1 just after it is released? m/s^2

What is the speed of sphere 1 when the spheres are far apart? m/s

Entropy:

A) for the universe never decreases

B)has its change defined by Q/T for reversible processes

C)is measured of how much energy is not availiable to do work

D)includes all of these

E) none of these

2)If the low temperature reservoir is at 300 K and the Carnot efficency is at 40%, what is T_h?

A)Below 300 K

B)500 K

C)750 K

D)1200 K

E) none of these

3)A sample of gas has an absolute pressure of 2.00 atmospheres, a volume of 3.00 L and is at a temperature of 400 K. If this gas sample temerpature is changed so its pressure is now 5.00atms while its volume is 6.00 L, what is its new tempertature?

a)80K

B)400K

C)600K

D)2000K

E)none

1) The light shining on a diffraction grating has a wavelength of 477 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 9.71°. How many lines per centimeter does the grating have?

2) The wavelength of the laser beam used in a compact disc player is 566 nm. Suppose that a diffraction grating produces first-order tracking beams that are 1.1 mm apart at a distance of 3.1 mm from the grating. Estimate the spacing between the slits of the grating.

Derive an expression for the instantaneous voltage across the capacitor. Express your answer in terms of the variables C, R, I0, and t.

My previous answers that were incorrect: 1) VC=I0*Cos(omega*t)*R (Response was that the answer doesn't depend on (omega*t) 2)Vc=I0*Cos((1/RC)*t)*R (Response was Incorrect; Try Again; One attempt remaining You have found the voltage across the resistor. Note that the current and voltage across the capacitor are out of phase.)

Previous question info:

Part A) A 300 Ω resistor is connected in series with a 50 mH inductor. The voltage across the resistor is vR=(1.20V)cos(2500rad/s)t. Find the amplitude of the voltage across the inductor.

Part B) What should multiply the amplitude to obtain an expression for the instantaneous voltage vL across the inductor?

Part C) The current through a series combination of a capacitor C and resistor R is given by I0cos(ωt), where ω is chosen so that the reactance of the capacitor is equal to the resistance R. Derive an expression for ω.

Thank you

A stone is dropped into a well. The sound of the splash is heard 2.92 s later. What is the depth of the well? (Take the speed of sound to be 343 m/s.)

Explain all the forces on a satellite going around the Earth