I start walking. The 1st leg of my trip I walk dA = 135 m at θA = 16° south of east. The 2nd leg of my trip I walk dB = 75 m at θB = 16° north of east. On my final leg I walk dC = 75 m at θC = 64.5° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. a)Write an expression for the x-component of the final displacement in terms of the given quantities.
b)Write an expression for the y-component of the final displacement in terms of the given quantities.
c)What is the magnitude of my displacement vector (in meters) as measured from the origin?
d)What is the angle of my displacement vector as measured counterclockwise from the +x-axis?

According to newton’s first law of motion, which force is expected to cause a body to accelerate?

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?

Which wave is the result of amplification and produces a louder sound