College Physics
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An interesting problem came up in my research a few weeks ago, and today you will help me solve it! When discussing the change of temperature in a body, one uses the equation:
Where Q is the heat (energy) transferred, c is the specific heat of the substance, m is the mass of the substance, and is the change of temperature due to the energy transfer. When I bombard a material with an ion beam, I
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- QM 6.3. Answer question throughly and with much detail as possible. Include formulas/ all work.arrow_forwardThe Newton–Raphson method for finding the stationary point(s) Rsp of a potential energy surface V is based on a Taylor-series expansion around a guess, R0. Similarly, the velocity Verlet algorithm for integrating molecular dynamics trajectories [xt, vt] is based on a Taylor-series expansion around the initial conditions, [x0, v0]. Both of these methods rely strictly on local information about the system. How many derivatives do we need to compute in order to apply them?arrow_forwardcalculate the heat capacity of an Einstein solid in the low-temperature limit. Sketch the predicted heat capacity as a function of temperature. (Note: Measurements of heat capacities of actual solids at low temperatures do not confirm the prediction that you will make in this problem.arrow_forward
- Find the number density N/V for Bose-Einstein condensation to occur in helium at room temperature (293 K). Compare your answer with the number density for an ideal gas at room temperature at 1 atmosphere pressure.arrow_forwardthe average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?arrow_forwarda) What is the magnitude of energy (in MJ) that must be removed to freeze 377 L of water with a density of 999.8 Kg/m3 that is already at 0˚C [round your final answer to one decimal place]? {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg} b) The magnitude of energy that must be added to melt the same mass of ice (already at 0˚C) would be greater than the amount of energy that had to be removed in order to freeze it. TRUE OR FALSE {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg}arrow_forward
- I need to know how to solve this ODE IVP setarrow_forwardProblem 5.15 The temperature in a certain region of space is given by T = To - A(2x? + y? + 2?) (in kelvin). Distances are in meters and the constant A has the value 0.5 kelvin/m?. The value of To is 300 K. (a) At point (1,2,2) what is the direction and rate (in K/m) of maximum temperature increase? (b) If you move one meter in that direction what is the temperature at the new position? (c) The temperature at the new position as calculated by the formula is not equal to the value obtained by multiplying the rate of temperature decrease òy the displacement. Explain this discrepancy.arrow_forwardConsider the following hypothetical results for an experiment similar to the one you designed and conducted this past week. Refer to Part 2 of the Student Lab Guide, (page 34 on propagation of uncertainty, and pages 53-56 on statistical significance of your results) for assistance. Ben and Jerry tested the dependence of the acceleration of a cart on the net force applied to that cart (a=F/m). The cart mass was known to be 0.600 kg with negligible uncertainty. They plotted acceleration versus force and found the slope of their graph to be 1.70 +/- 0.02. Answer the following questions: (a) What are the units of their slope? Why? (b) What is the expected value of their slope? Why? (c) Is their experimental result consistent with this expected value? Why or why not?arrow_forward
- A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.arrow_forwardAnswer it with a step by step solution with its Formula.arrow_forwardAssume our atmosphere absorbs 23% of the incoming solar radiation, and that the distance from the Earth to the Sun is 1.5 × 1011 m. From this information, what do you expect is the total power output of the sun? [IMPORTANT: to express a number like 2 × 1021, type 2e21] Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here W Part b How much solar energy do you absorb after sunbathing for an hour? Assume your skin has an exposed surface area of approximately 1.2m², and you absorb 50% of the incident energy. Give your answer in megajoules.arrow_forward
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