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Animals in cold climates often depend on two layers of insulation: a layer of body fat (of thermal conductivity 0.200W/(m?K) ) surrounded by a layer of air trapped inside fur or down. We can model a black bear as a sphere 1.50m in diameter having a layer of fat 4.00×10?2m thick, as shown in the figure.(Figure 1) In studies of bear hibernation, it was found that the outer surface layer of the fur is at TC = 2.70?C during hibernation, while the inner surface of the fat layer is at TH = 31.0?C. How thick should the air layer (contained within the fur) be so that the bear loses heat at a rate of 50.0W ? Thermal conductivity of air is kair = 2.40×10?2W/(m?K) .
What is the thickness of the air layer (contained within the fur), Lair?
The loaded cab of an elevator has a mass of 2.8 x 103 kg and moves 223 m up the shaft in 26 s at constant speed. Explain at what average rate does the force from the cable do work on the cab?
At first the spacecraft and the asteroid are at rest, 450m apart. How much time does it take for the ship and the asteroid to meet?
A particle is trapped in an infinite one-dimensional well of width L = 129 nm. If the particle is in its ground state, evaluate the probability to find the particle. (a) between x = 0 and x = 0.042L (b) between x = 0.042L and x = 0.958L (c) betwee..
A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h = 1.8 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other word..
A rectangular block of ice 12 m on each side and 1.3 m thick floats in sea water. The density of the sea water is 1025-kg/m3. The density of ice is 917 kg/m3. How many penguins of mass 26 kg each can stand on the ice block before they get their fe..
A car of mass 1110 kg travels at a speed of 20 ms-1 along a straight road. The driver sees a red traffic light ahead, and applies brakes. The coefficient of friction between the car tyres and the road is 0.83. Take the acceleration due to gravity to ..
The acceleration of a particle is given by ax(t)=? 1.90m/s2 +( 2.90m/s3 )t, Find the initial velocity v0x such that the particle will have the same x-coordinate at time t= 4.04s
A proton is at the origin and an electron is at the point = 0.45 , = 0.31 . Find the electric force on the proton.
A particle has a charge of +2.3 ?C and moves from point A to point B, a distance of 0.13 m. The particle experiences a constant electric force, and its motion is along the line of action of the force.
An iron bolt of mass 60.0 g hangs from a string 33.1 cm long. The top end of string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, displaced horizontally 27.0 cm to the right from the previously vertical l..
when it falls back it hits the ground with speed v1=50m/s. The mass of the ball is m=20g. Illustrate what is the total work done by the drag force while the ball is in the air?
A ferry boat transports tourists among three islands. It sails from the first island to the second island, 4.7 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 69.0° west of north..
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