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- 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. IIIn Problems 37 to 40, evaluate the triple integrals. -2x 37. dz dy dx 38. dy da dz 2=0 y=82 -2 2y+%3 -2x 1/z 39. 6y dx dz dy 40. z dy dz dr. y=-2 Jz=1 Jx=y+z r=1 Jz=r5. Bir F = (2î+ 3j)N kuvveti z-ekseni boyunca uzanan sabit bir eksen etrafında dönebilen bir cisme uygulanıyor. Kuvvet, ř = (4î + 5j)m noktasına uygulanırsa, z-eksenine göre net torku ve büyüklüğünü hulunuz.
- Po = 25 uc/m³ is distributed uniformly through a certain region. If V=50 at y = 2 and V= 90 at y = 5, &, = 2. a- Give the solution and calculate V, E. b- Draw V, Ē, IE with respect to y-axis. c- Now if p₂ = 0, give the solution and calculate V, Ē.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.A A A A I. If A = 4x + 2y and B and B` =− 2x + 4z, what are Ø – B`, A¯ • B`, and A × B¯? II. If E = k 29 what is – E dr if k and a are constants? k III. If V = what is 9 r α dV dr ∞ if k is a constant?
- Pd Pd 1. Let's consider a toy model of nuclear fission. Suppose an nucleus of Uranium-235 (92 protons, molar weight of 235 g/mole) "splits" into two "daughter" nuclei of Palladium (46 protons each) – this is not how it really happens, but it's a very simple model that actually gives fairly accurate results. The radius of the original U-235 nucleus is about 7.4 x 10-15 m. (a) If the Pd nuclei each have half the volume of the U nucleus, which is reasonable, and they are "touching" right after the split, how far apart are their centers? (b) Using conservation of energy, what will be the sum of the kinetic energies of the Pd nuclei when they are far apart from each other? (c) That's energy of one atom undergoing fission, so what, then, is the energy released by the fission of 1 kg of U-235? Express this in Joules and also in kilotons of TNT, where 1 kt = 4.2x1012 J. (The Hiroshima bomb yielded about 15 kt) (d) How many kwh (kilowatt-hours) of energy is this, (1 kwh = 3.6x10° J), and (if…4. Answer the below questions using this graph. V(V) 4 6 40 30 20 10 0 0 2 a. What is Ex at 1m? Answer: b. What is Ex at 4m? c. What is Ex at 7m? -x(m) 8mgh = 1 mv ₁ ² 2 Duph FAST 2 m = 1.00 kg 9 = 9.80 m/s² V₁ = 11 m/s ² 2 08.P Solve for hieght (h) MUN TIE
- 10.4.77 Two forces of magnitude 40 newtons (N) and 20 N act on an object at angles of 30° and -45° with the positive x-axis as shown in the figure. Find the direction and magnitude of the resultant force; that is, find F1 +F2- F|-4 = 40 N 30° - 45 I|Fl = 20 N F1 +F2 = (48.78) i+ (5.86) j (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)ipa Suppose (p | ) = e¯. What is (x | b) =? V2nh 8 (x – x') 2nh Vasi 8 (x – x') 2πh 8 (x – x') O OUna partícula parte de origen en t = 0 con una velocidad de 6.0i m / s y se mueve en el plano xy con una aceleración constante de (–2.0i + 4.0j) m / s2. En el instante en que la partícula alcanza su máxima componente en x positiva, ¿qué tan lejos está del origen?
