Question (a) Objects with masses m1 = 14.0 kg and m2 = 9.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m, falls 1.00 m in 1.21 s, determine the coefficient of kinetic friction between m, and the table. x Express the friction force in terms of the coefficient of kinetic friction. Obtain an expression for the acceleration in terms of the masses and the net force, including friction, and solve for the coefficient of kinetic friction. m2 i (b) What If? What would the minimum value of the coefficient of static friction need to be for the system not to move when released from rest?

Assuming the density of brass weights to be 8.0 g cm3 and that of the air to be 1.2 kg m3 . What fractional error arises from neglecting the buoyancy of air in weighing an object of density 2.3 g/cm3 on a beam balance?

(7.10 For a wave characterized by the electric field E(z.t) = ħax cos(wt – kz) + ġ ay cos(wt – kz + 8) identify the polarization state, determine the polarization angles (y,x), and sketch the locus of E(0,t) for each of the following cases: (a) dx = 3 V/m, ay 3 V/m, ay = 4 V/m, and 8 = 0 (b) az = 3 V/m, ay = 4 V/m, and 8 = 180° (c) az = 3 V/m, ay = 3 V/m, and 8 = 45° (d) ax = 3 V/m, ay = 4 V/m, and 8 = -135°

Marvin’s Magical Potions and More shop is located in a small rented store front. Each month Marvin pays $1,200 in rent, around $300 in utilities, another $100 in taxes and fees. His one salesperson earns roughly $1,000 per month independent of how much she’s there. His potions run approximately 50 cents per unit to produce. (The cost of the spell that give them their value is unfortunately impossible to quantify.) Further, each customer that enters is offered a free Tarot reading. A) Articulate the marginal costs associated with selling a single potion. B) Justify why you excluded the remaining costs. C) Assuming he can sell his potions for approximately $10 per potion, should he? Explain.

6.18 The file Property Taxes contains the property taxes per capita for the 50 states and the District of Columbia. Decide whether the data appear to be approximately normally distributed by a. comparing data characteristics to theoretical properties. b. constructing a normal probability plot.

If the current flowing through a 75 mH inductor has the waveform shown in Fig. 7.46, (a) sketch the voltage which develops across the inductor terminals for t ≥0, assuming the passive sign convention; and (b) calculate the voltage at t =1s ,2.9s , and 3.1 s.                                

The lumen output was determined for each of I = 3 different brands of lightbulbs having the same wattage, with ) = 8 bulbs of each brand tested. The sums of squares were computed as SSE = 4774.2 and SST = 594.9. You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. State the hypotheses of interest (including word definitions of parameters). u; = sample average lumen output for brand i bulbs Holly = M2 = 43 Ha: all three u 's are unequal Ομ, = true average lumen output for brand i bulbs Ho: My & M₂ = M3 Ha: at least two ;'s are equal O Hj = true average lumen output for brand i bulbs Ho: M1 = M2 = 43 Ha: at least two u;'s are unequal O u; = sample average lumen output for brand i bulbs Ho: My & M₂ 7 M3 Ha: all three u;'s are equal Use the Ftest of ANOVA (a = 0.05) to decide whether there are any differences in true average lumen outputs among the three brands for this type of bulb by obtaining as much information as possible about the P-value. (Round your answer to two decimal places.) f=