Two protons (p) and two electrons (e) are arranged on a circle of radius r = 5 [cm], with angles 0₁ = 10°, 0₂ = 60°, 03 = 15° and 04 = 45°, as shown in the figure. ( = 9p ‚ = + 1.6 × 10¯¹⁹ [C] and q = The figure is not to scale. C Р 03 04 - - 1.6 × 10-1⁹ [C]). 01 Р
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- Growth 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.How can I solve this problem? A 12 nC charge is located at (-4, 0) and a -9 nC charge located at (4, 0) exerts a net force on a 3 nC charge located at (0, -3). Assume that the coordinates are measured in millimeters. a) Calculate the y-component of the force exerted by the -9 nC charge, in millinewtons, to the 3 nC charge. b) Calculate the direction of the net electric force, in degrees, experienced by the 3 nC charge. Use the positive x-axis as reference. c) Calculate the electric potential energy experienced by the 3 nC charge in microjoules. d) Calculate the electric potential at the origin in kV/m.B) Convert the following decimal number (255)10 to binary and hexadecimal number
- 27. S Review. From the set of equations p = 3q pr = qs involving the unknowns p, q, r, s, and t, find the value of the ratio of t to r.Give an educated guess for the requested values of in Volts expressed as integer numbers, i.e. no decimal place necessary.(Find all values) 1. Vout(0+) = 2. Vout(pi/40) = 3. Vout(pi/20) = 4. Vout(pi/15) = 5. Vout(pi/10) = 6. Vout(pi/5) = 7. Vout(infinite) =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. II
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