Question You have three identical lights that you need to connect to your car battery with V=13.8. Each light can be considered to be a simple resistor. When 1 light is connected to the battery, it uses 20 W of power. a) How much power will be used if the three lights are all connected in parallel and connected to the battery? Number W. b) How much power will be used if the three lights are connected in series and connected to the battery? Number W.

TOPIC 18: SUMMING UP (3 Total Points) 16. In relation to the creation of, and resistance to, stress, describe the relationship between loads, member material, and member cross section. (3 pt) REACTIONS ON A FIXED-END BEAM (11 Total Points) 31 31 17. The free-body diagram shows a fixed-end beam with loads P1 and P2, along with the horizontal and vertical components of P2 (i.e., P2x and P2y). P24 P. = 3k P2x = 6k Pay = 8k P2x a) Write the magnitude of the forces on the free-body diagram. (1 pt) FREE-BODY DIAGRAM b) On the free-body diagram, show and label the vertical and horizontal reactions (Rly and Rix) at the fixed end. Using the equilibrium equations sumFy=0 and sumFx = 0, determine their magnitude, showing your math, and using correct units in your answer. (4 pt) c) On the free-body diagram, show and label the reaction moment (M) created at the fixed end (including its direction), and determine its magnitude. Start with an equilibrium equation, show your math and use correct units in your answer. (4 pt) d) On the free-body diagram, show the deformation of the beam (how it bends) as a dashed line and label the dimension of the deflection. (2 pt) TOPIC 13: LOAD DISTRIBUTION (7 Total Points)

A 181 ‑turn circular coil of radius 2.03 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 16.5 Ω resistor to create a closed circuit. During a time interval of 0.135 s, the magnetic field strength decreases uniformly from 0.627 T to zero. Find the energy 𝐸 in millijoules that is dissipated in the resistor during this time interval.

The following equations describe the variation of pressure p with veloci 0 p + A og V-2 = X (i) p + B g pv = Y (iii) p + CPV 2 = Z where, A, B, and C are dimensionless constants. X, Y, and Z are values with the same dimensions as pressure, g is the acceleration due to gravity, p is the density of the liquid, and o is the surface tension of the liquid. Which equations are dimensionally homogeneous? 2:33 PM

solve using Buckingham-pi Theorem 8-19. The force of buoyancy F is a function of the volume +of a body and the specific weight y of the fluid. Determine how F is related to ť and y.

The table below shows the monthly cost of producing vintage model cars for collectors for quantities O, 100, 200, and 500. Complete the table by filling in the average fixed cost, average variable cost, and average total cost. Instructions: Round your answers to 2 decimal places. Average Fixed Cost (dollars) Average Variable Cost (dollars) Average Total Cost (dollars) Vintage Model Car Production Costs Total Fixed Total Variable Output Cost (dollars) Cost (dollars) 0 $1,500 $0 100 1,500 600 200 1,500 1,100 500 1,500 4,150 Total Cost (dollars) $1,500 2,100 2,600 5,650

Assume that in October 2022 the Schmidt Machinery Company (Exhibit 14.1) manufactured and sold 990 units for $705 each. During this month, the company incurred $415,800 total variable costs and $180,400 total fixed costs. The master budget data for the month are as given in Exhibit 14.1. Required: 1. Prepare a flexible budget for the production and sale of 990 units. 2. Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. 3. Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Comparison of Actual and Budgeted Operating Income SCHMIDT MACHINERY COMPANY Analysis of Operating Income For October 2022 (1) Actual Operating Income (2) Master Budget (3) Variances Units 780 1,000 220 U* Sales $ 639,600 100% $ 800,000 100% Variable costs 350,950 55 450,000 56 $ 160,400 U 99,050 F** $ 61,350 U 10,650 U Contribution margin 45% 44% $ 288,650 160,650*** $ 350,000 150,000+ Fixed costs 25 19 Operating income $ 128,000 20% $ 200,000 25% $ 72,000 U *U denotes an unfavorable effect on operating income. **F denotes a favorable effect on operating income. ***Actual fixed factory overhead cost = $130,650; actual fixed selling and administrative costs = $30,000. Budgeted fixed factory overhead cost = $120,000; budgeted fixed selling and administrative costs = $30,000. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Prepare a flexible budget for the production and sale of 990 units. Units sold ales Fixed costs Variable costs Required 1 Required 2 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. Show less A Sales Volume Variance Operating income Contribution margin < Required 1 Required 3 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Show less a. The total flexible budget variance b. The total variable cost flexible budget variance c. The total fixed cost flexible budget variance d. The selling price variance < Required 2 Required 3