ī || 好吃 入 d = | 1.097 × 107m-1 (一) 22 入 = 365 nm Ephoton = h- a -1 m (3×10 -) (365 × 10-9 m) Ephoton = (4.14×10-15 J·s) Ephoton = 3.41]

REMARKS Only simple geometries-rectangles and triangles-can be solved exactly with this method. More complex shapes require calculus or the square-counting technique in the next worked example. QUESTION When stretching springs, does half the displacement require half as much work? (Select all that apply.) U > Yes, because the work is equal to the force times the distance. Yes, because the spring exerts a constant force. Yes, because half the displacement means the force from the spring is half as large. No, because the spring does not exert a constant force. No, because the force of the spring is proportional to x. No, because the force exerted by the spring is proportional to x². X Consider the expression for the work done by an applied force. Under what conditions is the work done equal to simply a value of the force multiplied by the displacement? Do those conditions apply to the present problem - consider why or why not. Consider how the force exerted by the spring depends on its…

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Learning Goal: To understand the Equipartition Theorem and its implications for the mechanical motion of small objects. In statistical mechanics, thermal energy is the random motion of the microscopic world. The average kinetic or potential energy of each degree of freedom of the microscopic world therefore depends on the temperature. If heat is added, molecules increase their translational and rotational speeds, and the atoms constituting the molecules vibrate with larger amplitude about their equilibrium positions. It is a fact of nature that the energy of each degree of freedom is determined solely by the temperature. The Equipartition Theorem states this quantitatively: The average energy associated with each degree of freedom in a system at absolute temperature T is (1/2)k³T, where KB = : 1.38 × 10-2³ J/K is Boltzmann's constant. A "degree of freedom" corresponds to any dynamical variable that appears quadratically in the energy. For instance, (1/2)mv² is the kinetic energy of a…

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Edrops Epuddle If a puddle of liquid on a table is converted into a collection of 28 drops, by what factor c = does the surface energy change? Round your answer to two decimals. Assume that the original pool was flat with a depth of 1.2 mm and that the drops are spherical caps (you can Google this), each with a height of 4.0 mm and a radius of 10.5 mm. The side area of the puddle can be neglected. c =

Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in complete sentences and therefore statements.

Can a dot product ever be negative? Yes No   SubmitPrevious Answers  Correct Part B If yes, under what conditions? One of the vectors has negative length. The angle between two vectors is greater than 90 ∘∘. The angle between two vectors is less than 90 ∘∘.

Show all work for parts a and b. Follow directions as stated. Thank you