Amass weighing 20 pounds stretches a spring 6 inches. the mass is initially released from rest from a point 6 inches below the equilibrium position. (a) find the position x of the mass at the times t-m/12, m /8 , n /6, m/4, and 9m/32 s. (use g 32 ft/s for the acceleration due to gravity.) -0.375 ft x x(π/ 12) 1 ft x(/8) 3 ft x(t/6) 0,75 ft x(/4) ft x(9m/32) (b) what is the velocity of the mass whent 3m/16 s 6 ft/s in which direction is the mass heading at this instant? odownward o upward (c) at what times does the mass pass through the equilibrium position?

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?

What is the relationship between the direction of motion of the balloon and the wind currents

A20 cm long spring is attached to a wall. the spring stretches to a length of 22 cm when you pull on it with a force of 100 n. what is the spring constant