9. The top graphs show the x-component of Ĕ as a function of x in two different cases. On the axes below the graph, draw the graphs of V vs. x in this same region of space. Let V = 0 V at x = 0 m. Include an appropriate vertical scale. a. E (V/m) 200 100 0 0 V(V) b. E (V/m) 200 100 x (m) 0 x (m) 2 0 2 V (V) 2 .r (m) 2 x (m)

(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?

The distance to the Sun is 93 miIlion miles. What is the distance to the Sun in the appropriate SI units?

(a) A car speedometer has a 5.0% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per hour. (1Km=0.6214)

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.

A. Vector or Scalar Directions: Sort the physical quantities in the box. Write the scalar quantities under the scalar column and the vector quantities under the vector column. Quantity 1. 10 m Scalar Vector 2. 4500 calories 3. 15m/s, East 4. 36.5°C 5. 5N, downward 6. 15 kg 7. 9 mi., N of E 8. 1 Terabyte 9. 3600s 10. 1.00 kg/m³

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

A B с Supply the logic equation for the following numbered locations. Location 1: Location 2: Location 3: & Location 4: Notes: Use the following symbols: NOT for example AND for example OR for example XOR for example NOT X X AND Y X OR Y X XOR Y is X' is XY is X+Y is X(+)Y F

Consider the array of vectors in the figure below. +y B. A I. K H N 1. À + B + Č + D + Ē + F + Ġ +Ĥ = Ï? A. TRUE. B. FALSE. %3D 2. Vector F has scalar x component equal to zero? A. TRUE. B. FALSE. 3. Ñ - F = L ? B. FALSE. A. TRUE. 4. D| = -|| A. TRUE. B. FALSE. 5. |Ħ - R| = |J| ? B. FALSE. A. TRUE. %3D 6. The vector H + G has a negative x component and a positive y component? A. TRUE. B. FALSE. 7. C|-|0|=-| B| ? B. FALSE. A. TRUE. 1E 10 1M 10

Elliptical cylindrical (EC) coordinates are defined by the variables u, v and z, with aconstant a, in terms of Cartesian coordinates as follows:x = a cosh u cos v ;y = a sinh u sin v ; (75)z = z .a. Find the EC metric.b. Describe surfaces of constant u, v and z for various values of the constant a.c. Find the EC basis vectors for arbitrary a.d. Make vector field plots of the EC basis vectors in the x-y plane.e. Find the incremental area and volume expressions.f. Express the gradient, divergence, curl and Laplacian operators in EC coordinates.