Question A 10-kg block of ice is at rest on a frictionless horizontal surface. A 1.0-N force is applied in an easterly direction for 1.0 s. During this time interval, the block:

A rectangular coil with N = 5,000 turns that has a resistance of 3.70 ohms is coplanar with a long wire which carries a current which depends on time according to I0 *exp(-t/tau), where I0 = 7.00 A and tau = 7.70 s. The rectangular loop has a width of W = 3.00 cm and length L = 6.00 cm. The near side of the loop is a distance D = 2.90 cm from the wire.What is the magnetic flux in ONE turn of the coil at t = 3.30 s? i(t)DR

The Anderson County board of supervisors has agreed to fund an ambitious project that will spend money now to save much more money in the future. A total of $16.2 million will be awarded to the York Corporation for energy improvements in 40 buildings, 27 parks, and 37 traffic intersections. These improvements include lighting upgrades, solar hot water collectors, more efficient heating/cooling systems, and light-emitting diodes for traffic signals. Bonds paying 7% per year over the next 15 years will be used to pay for these improvements. If the annual savings fail to average $2 million, York Corporation will reimburse the county the difference. Will York need to pay any money to the county? If so, how much?

Problem 5. [15 pts) Work out the curl of integrand F in the following line integrals to determine whether it is path independent. If yes, find out the corresponding potential function f and calculate the integration from (0, 0, 0) to (a, b, c). (a) [5 pts) Sexydx + x2ydy + 6zędz (b) [10 pts] Sc sin(x2 + 2y2 + z2) (2xdx + 4ydy + 2zdz)

 The area bounded by the curve y^2 = 12x and the line x = 3 is revolved about the line x =3. What is the volume generated? Show full solution

A researcher conducts an experiment comparing four treatment conditions with a separate sample of n=6 in each treatment. An ANOVA is used to evaluate the data, and the results of the ANOVA are presented in the following table. Complete all missing values in the table. Hint: Begin with the values in the df column. SourceSdfMSBetweenF =treatmentsWithintreatmentsTotal58

4. A 2-wire d.c. distributor is 250 m long. It is to be loaded as shown in Fig 13.10 at 50 m intervals. If the maximum voltage drop is not to exceed 10V and the resistivity of core material is 0-7 x 2-54 µN cm, determine the maximum cross-sectional area of each conductor. [1-602 cm*] Supply End 120 A 90 A 60 A 50 A 80 A