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- 1 u(v, T) = (8) 3 ehu/kT - 1 | dv u(v,T) (9) %3D 15h3 1. Prove that Equation (8) at the limit of hv/kT « 1 becomes the Rayleigh-Jeans equation: u(v, T) - (10) -kT while at the high temperature limit, hv/kT > 1, becomes the Wien result in the form of u(v, T) - av'e-b/T. (11) Determine a and b! 2. Prove equation (9).QUESTION 1 When vou are swimming at the bottom of a pool, the water above and around you exerts force on your eardrum. Calculate the force (in N) exerted on your eardrum when you are at the bottom of a pool that is 5.0 m deep. Assume that the area of your eardrum is 1 cm^2 and the density of water is 1000 kg/m^3 (10,000 cm^2 = 1m^2) (Ans: 5N) To solve this, which of the following equation/s should you use (check as many that best applies) Ορ-m/V W = dv O Q = mcAT O Q= mL 1 P2 + pgh, + Pi+pghi+ 늑pv? dQ AS= S Δ $EdA =- PEDA = Lenc €0 O Fb =P fluidgV submerged P= pgh F=madN F(V)dV = = 47 N MV² -)dv 2RT M 312v² exp(- 2ĦRT where dN, the number of particles having a velocity between v and v+dV, V velocity of molecules, M moleculer mass of gase, T temperature 3= i = AP(A)f ;A] =<
- (a) If the average molecular mass of compounds in food is 50.0 g, how many molecules are mere in 1.00 kg at food? (b) How many ion pairs are created in 1.00 kg of food, if it is exposed to 1000 Sv and it takes 32.0 eV to create an ion pair? (c) Find the ratio of ion pairs to molecules. (d) If these ion pairs recombine into a distribution of 2000 new compounds, how many parts per billion is each?My textbook gives me only the following possible answers: a) (19/6)MRwb) (5/3)MRwc) (7/6)MRwd) (11/3)MRw which are not equal to (131/12)MRw :(.= U is for Uranium. Natural uranium consists of 235U (percent abundance P₁ = 0.7300%, A₁ = 3.12 x 10-¹7 [s-¹]) and 233U (percent abundance P₂ = 99.27%, 2₂ = 4.92 × 10-¹8 [s-¹]). Consider the time when Earth was formed 4.5 billion years ago. Setup the time dependence of percent abundance of the two uranium isotopes. Use №₁ and N₂ as current particle count of the isotopes (use №₁,0 and N₂,0 for the initial particle count back when Earth was formed) Then, Compute for the initial percent abundance of each uranium isotopes when the Earth was formed.
- Assume that a room at sea level is filled with a gas of nitrogen molecules N2 in thermal equilibrium at -10.0 °C (negative ten degrees Celsius). There are 7 protons and 7 neutrons in the nucleus of a nitrogen atom N. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01x105 N/m² , h=1.05x10-34 J-s , mp=1.67x10-27 kg, kB = 1.38x10-23 J/K . a) What is the (particle) number density n according to the ideal gas law? b) Compare the number density n with the quantum concentration ng at the same temperature. c) Is the gas in the classical or quantum regime?5.6 Problems 1. (Zemansky and Dittman, Problem 9.4) Derive the following equations: a) ´ƏF/T` U = F - T ƏT = -T2 ƏT b) 2²F Cy = -T ƏT? c) ´aG/T H = G-T aT -T2 d) Cp = -TIn the Sun's core, thermonuclear reactions produce the energy which 2. eventually produces the Sun's luminosity. The Sun's core has a temperature, Tcore 1.6 x 107 K. The mass density of the core is approximately p= 1.5 x 10 kg m3. Assuming the core has the same mass fraction of hydrogen as the Sun's atmosphere (XH = 0.75), approximate the number of fusion reactions between two hydrogen nuclei (two free protons) per second. You may assume that the temperature and density are uniform throughout the core (not realistic!), which extends from the center of the sun out to about Ro/5, and that particles within the core act like a non-relativistic ideal gas (Maxwellian velocity distribution) with all reactions happening at the same relative velocity. Also assume the cross-sectional area for a proton-proton reaction is o = 2.75 x 1048 m2. %3D
- Q 2. In the fra, shown below. Resolve the fore lo0lb into taio components one abng AB and the other Paralel to CD. A B 10 14 3 5 2001bG kinema x HW 1 WP NWP A X G At a fo X b Answe X b Enter y x C Solved x G kinema x WP Wiley X WileyP X + A education.wiley.com/was/ui/v2/assessment-player/index.html?launchld=e8766b99-b0e5-4f5f-a66b-abe3e9936.. E Update : Paused E HW 1 Question 6 of 7 > 0/1 X Incorrect Starting from rest at home plate, a baseball player runs to first base (90 ft away). He uniformly accelerates over the first 10.5 ft to his maximum speed, which is then maintained until he crosses first base. If the overall run is completed in 3.8 seconds, determine his maximum speed, the acceleration over the first 10.5 feet, and the time duration of the acceleration. t = 0 t = 3.8 sec 10.5- 79.5' Answers: Vmax = 26 ft/sec a = i 33 ft/sec2 t = i 0.79 sec 9:46 PM O Type here to search DELL 49°F 1/24/2022 > 凸)x = x₁ + vot + 1²/1at², v = v₁ + at, (v²) = (v₂)² + 2a^x, (νο)2 2 1 Ax = (0+¹) At, Atrapezoid = (₁+²) h, Atriangle = bh 2 2 Introduction to the Problem On December 8, 2005 Southwest Airlines flight 1248, a Boeing 737-700 class jet with 103 persons aboard, attempted to land on a snow-covered runway at Chicago's Midway Airport. Tragically, the attempt resulted in the death of a child on the ground, as the plane slid far enough beyond the runway to leave airport property and collide with a car (in which the child was a passenger) on the road beyond. Both the analysis and prevention of accidents such as this rely on the kinematics of one-dimensional motion. In this problem we will examine how the National Transportation Safety Board (NTSB) arrived at the conclusion that "the probable cause of a fatal runway overrun...was the pilots' failure to use available reverse thrust in a timely manner to safely slow or stop the airplane after landing." (NTSB press release SB-07-48). The NTSB report…