A sinusoidally oscillating current I ( t ) I(t) with an amplitude of 9.55 A 9.55 A and a frequency of 879 cycles per second 879 cycles per second is carried by a long, straight wire. A rectangular loop of copper wire with dimensions b = 72.2 cm b=72.2 cm by c = 32.5 cm c=32.5 cm is located a = 80.2 cm a=80.2 cm from the straight wire, and is coplanar with it. Calculate the average power P avg Pavg dissipated by the loop if its resistance is 64.3 Ω .

Aball is thrown straight up into the air with a speed of 21 m/s. if the ball has a mass of 0.1 kg, how high does the ball go? acceleration due to gravity is g = 9.8 m/s^2. a. 22.5 m b. 20.0 m c. 25.0 m d. 17.5 m

Na food processing facility, a spherical container of inner radius r1 5 40 cm, outer radius r2 5 41 cm, and ther- mal conductivity k 5 1.5 w/m · k is used to store hot water and to keep it at 100°c at all times. to accomplish this, the outer surface of the container is wrapped with a 800-w electric strip heater and then insulated. the temperature of the inner surface of the container is observed to be nearly 120°c at all times. as- suming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container, (b) obtain a relation for the variation of temperature in the container material by solving the differential equation, and (c) evaluate the outer surface tempera- ture of the container. also determine how much water at 100°c this tank can supply steadily if the cold water enters at 20°c.

What energy transformations occur each time the skateboarder rolls up the ramp?