Write out a hand solution for the following problem: there is a force acting at point a. the force can be written as fa = {-243 i -38 j -111 k} lb as a reminder to all (especially those of you not familiar with the u. s. customary system of units, "ib" is the abbreviation for the unit of force called, "pound." there is also a line, ab, that starts at a and can be written as rab 1.22 i 8.33 j +3.41 k} ft "ft" is the abbreviation of the unit "feet" for the problem, complete the following: draw a diagram of the problem. use a straight edge. determine the magnitude of the force. determine the angle between the force and the line (hint, use the concept of the dot product) determine the value of the component of the force that is acting along the line ab

Awave travels at a speed of 5.2 m/s. if the distance between crests is 0.40 m, what is the frequency of the wave? use f=v/wavelength a. 13 hz b. 2.1 hz c. 0.077 hz d. 5.6 hz

Clothing made of several thin layers of fabric with trapped air in between, often called ski clothing, is commonly used in cold climates because it is light, fashionable, and a very effective thermal insulator. so it is no surprise that such clothing has largely replaced thickand heavy old-fashioned coats. (a) consider a jacket made of five layers of 0.1-mm-thick synthetic fabric (k = 0.13 w/m·°c) with 1.5-mm-thick air space (k = 0.026 w/m·°c) between the layers. assuming the inner surface temperature of the jacket to be 28°c and the surface area to be 1.25 m2, determine the rate of heat loss through the jacket when the temperature of the outdoors is 0°c and the heat transfer coefficient at the outer surface is 25 w/m2·°c. (b) what would your response be if the jacket is made of a single layer of 0.5-mm-thick synthetic fabric? what should be the thickness of a wool fabric (k = 0.035 w/m·°c) if the person is to achieve the same level of thermal comfort wearing a thick wool coat instead of a five-layer ski jacket?

How many atoms of nitrogen are in the chemical formula ni(w on