A house’s electricity use, over a one day period, is modelled by E(t) = t + sin(t) (kW), where t is in hours. What is cumulative energy consumption of the household over the period, approximately? Include units.
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A house’s electricity use, over a one day period, is modelled by E(t) = t + sin(t) (kW), where t is in hours. What is cumulative energy consumption of the household over the period, approximately? Include units.
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- In 2011, artist Hans-Peter Feldmann covered the walls of a gallery at the New York Guggenheim Museum with 100,000 one-dollar bills (Fig. P1.48). Approximately how much would it cost you to wallpaper your room in one-dollar bills, assuming the bills do not overlap? Consider the cost of the bills alone, not other supplies or labor costs. FIGURE P1.48When a electrical appliances whose power usage is X watts is run for Y seconds it uses X×Y joules of energy. The energy unit used by electrical utilities in their monthly bills is the kilowatt-hour (kwh, that is, 1 kilowatts used for 1 hour) how many joules are there in a kilowatt hour? If electricity cost per $0.09 per kilowatt hour, how much does it cost per megajoule?The solar power per unit area at the Earth's distance from the sun--called the "solar constant"--is 1.36 kW/m^2. If a solar power station in a sunny location uses 20%-efficient solar panels, what area of panels is required to replace a 1.0 GW power plant at noon. Express the answer in square kilometers. 3676
- A retailer buys Dalmatian stuffies for $6 each. (Assume that the retailer has no other variable costs). The retailer can only charge by the dollar so no need to consider cents -- e.g., $3 is a price you could choose, $3.11 or $2.99 are not. The potential customers have the following WTP. Student (1= yes) Parent (1=yes) Cat Lover (yes =1) Over 65? (1=yes) WTP 1 $20 O $20 1 $18 1 $15 O $15 O $14 O $14 1 $14 O $14 1 $13 O $10 1 1 1 1 1 1 1 1 O $8 O $8 1 $7 1 1 $7 1 $5 O $5 1 1 1 1 $5 O $4 1 $3 1 1 1 If you can only charge a single price what is the best price to maximize revenue?The Physics Club sells E = mc² T-shirts at the local flea market. Unfortunately, the club's previous administration has been losing money for years, so you decide to do an analysis of the sales. A quadratic regression based on old sales data reveals the following demand equation for the T-shirts: q = -2p2 + 33p (9 sps 15). Here, p is the price the club charges per T-shirt, and g is the number it can sell each day at the flea market. (a) Obtain a formula for the price elasticity of demand for E = mc? T-shirts. E = (b) Compute the elasticity of demand if the price is set at $9 per shirt. (Round your answer to two decimal places.) Interpret the result. The demand for E = mc2 T-shirts is going ? v by about % per 1% increase in the price. (c) How much should the Physics Club charge for the T-shirts to obtain the maximum daily revenue? $ What will the revenue be? $The cost C (in dollars) for a company to produce and sell x thousand gadgets is given by C 2x + 5020 20 (a) What is the company's start-up cost? 2$ (b) What is the minimum cost? 24 (c) How many gadgets must the company produce and sell in order to incur the least cost? (Be careful with your units!) gadgets Submit Question JAN 12
- A particular frost-free refrigerator uses about 720 kWh of electrical energy per year. Express this amount of energy in joules (J). Express this amount of energy in kilojoules (kJ).The average cost per item to produce q items is given by a(q) = 0.01q² - 0.6q+17, for q>0. What is the total cost, C(q), of producing a goods? C(q) = What is the minimum marginal cost? minimum MC = (Be sure you can say what the practical interpretation of this result is!) At what production level is the average cost a minimum? q= What is the lowest average cost? minimum average cost = Compute the marginal cost at q = 30. MC(30) = How does this relate to your previous answer? Explain this relationship both analytically and in words.A 75 kg sprinter accelerates from 0 to 8.0 m/s in 5.0 s. What is the output erergy, in kJ (kiloJoules)? Your answer needs to have 2 significant figure, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
- The Physics Club sells E = mc T-shirts at the local flea market. Unfortunately, the club's previous administration has been losing money for years, so you decide to do an analysis of the sales. A quadratic regression based on old sales data reveals the following demand equation for the T-shirts. q = -2p2 + 33p (9 < p< 15) Here, p is the price the club charges per T-shirt, and q is the number it can sell each day at the flea market. (a) Obtain a formula for the price elasticity of demand for E = mc2 T-shirts. E = (b) Compute the elasticity demand if price is set at $10 per shirt. (Round your answer to two places.) Interpret the result. The demand for E = mc2 T-shirts is going ? O by about % per 1% increase in the price. (c) How much should the Physics Club charge for the T-shirts to obtain the maximum daily revenue? $ What will the revenue be? $World wind energy generating capacity, W, was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8% per year. Assume this rate continues. (Generating capacity is the maximum amount of power generated per unit time.) (a) Give a formula for W, in gigawatts, as a function of time, t, in years since the end of 2014. W (t) = gigawatts %3D (b) When is wind capacity predicted to pass 500 gigawatts? Wind capacity will pass 500 gigawatts during the yearThe quantity of energy Q transferred by heat conduction through an insulating pad in time interval Δt is described by Q/Δt = κAΔT/d, where κ is the thermal conductivity of the material, A is the face area of the pad (perpendicular to the direction of heat flow), ΔT is the difference in temperature across the pad, and d is the thickness of the pad. In one trial to test material as lining for sleeping bags, 86.0 J of heat is transferred through a 3.40-cm-thick pad when the temperature on one side is 37.0°C and on the other side is 2.00°C. In a trial of the same duration with the same temperatures, how much heat will be transferred when more of the material is added to form a pad with the same face area and total thickness 8.41 cm?