The variation in the pressure of helium gas, measured from its equilibrium value, is given by AP = 2.9 × 10-5 cos (6.20x – 3 000t), where - x and t have units m and s. Determine the speed (in m/s) of the wave.
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- (a) Suppose that a person has an average heart rate of 72.0 beats/min. How many beats does he or she have in 2.0 y? (b) In 2.00 y? (c) In 2.000 y?1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. IIGrowth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.
- The density of bubble gum is about 1g/cm3. You blow an 8g wad of gum into a bubble 9cm in diameter. What is the thickness of the bubble? Use the equation: 4πr2 to help solve the problem.Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?A 11-inch candle is lit and burns at a constant rate of 1.3 inches per hour. Let t represent the number of hours since the candle was lit, and suppose R is a function such that R(t) represents the remaining length of the candle (in inches) t hours after it was lit. a. Write a function formula for R in terms of t. R(t)=11-1.3t Preview b. What is the domain of R relative to this context? Enter your answer as an interval. [0,8.46] Preview c. What is the range of R relative to this context? Enter your answer as an interval. Preview no answer given d. What is the domain of R¯ relative to this context? Enter your answer as an interval. |其 Preview e. What is the range of R1 relative to this context? Enter your answer as an interval. Preview f. Solve R(t) = 6.2 for t. t = 3.69 Preview g. What does your solution in part (f) represent in this context? Select all that apply. How many hours since the candle was lit when it is 6.2 inches long. * The length of the candle (in inches) 6.2 hours after…
- The pressure, P of an ideal gas, can be expressed as P = nRT/V where n is the number of moles, T is the temperature, V is the volume and R = 8.314JK^-1 mol^-1 is the ideal gas constant. a) Find the expression for deltaP in terms of deltan, deltaT and deltaV: deltaP = deltan + deltaT + deltaV b) Suppose that n = 1, V = 1m^3 and T = 300K initially. If n and V change to 9/5 and 7/10m^3 respectively, estimate the change in T(K) required to keep P constant.Consider the equation a=6πb/q√17 relating the variables a, b and q. If a scientist does an expirment in which b is held constant, q is varied, and a is measured. A. Identify the independent and dependent variables. B. What functional relationship is being testing? C. What should be plotted in order to confirm this relationship? (order matters)Result: 9.85± 0.18 (b) Compare the result with the accepted value of g = 9.82 ± 0.02 m/s2. (c) Does the student’s result agree with the accepted value? Explain.
- The nucleus of an atom can be modeled as several protons and neutrons closely packed together. Each particle has a mass of 1.67 x 10-27 kg and radius on the order of 10-15 m. (a) Use this model and the data provided to estimate the density of the nucleus of an atom. | kg/m³ (b) Compare your result with the density of a material such as iron w = 7874 kg/m?). What do your result and comparison suggest about the structure of matter?One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?The density of platinum is 21.45 x 103 kg/m3. a. Calculate the volume (in m3/atom) occupied per platinum atom b. Estimate the atomic diameter (in m);(The estimate uses the approximation that it is a cubic volume) c. Using this estimation, calculate the thickness of a metal foil (in m) containing 2.0 x 101 atomic layers of platinum.