Legend has it that, many centuries ago, archimedes jumped out of his bathtub and ran across town nakedscreaming "eureka! " after he solved an especially difficultproblem. though you may not have thought of things this way before, when you drink a glass of water, the water that you are drinkingcontains some water molecules that were in archimedes' bathwaterthat day, because water doesn't get created or destroyed on a largescale. it follows the water cycle, which includes rain, evaporation, flowing of rivers into the ocean, and so on. in themore than two thousand years since his discovery, the watermolecules from archimedes' bathwater have been through this cycleenough times that they are probably about evenly distributedthroughout all the water on the earth. when you buy a can of soda, about how many molecules from that famous bathtub of archimedes arethere in that can?

What would the difference of spectral lines emitted by hydrogen gas in distant galaxies which is normally found at a wavelength of 21 cm on earth, be observed at 21.1 centimeters?

We want to calculate the total metabolic heat generated by a singing canary taking into account heat transfer by radiation, convection and exhaling air. the air temperature is 20 oc, canary’s body internal and surface temperature is 33oc, external body surface convective heat transfer coefficient is 25.2 w/m2 .k, temperature difference between the inhaled and exhaled air is 4.3 oc, the ventilation rate is 0.74 cc of air per second, specific heat of air is 1.0066 kj/kg. k and density of air is 1.16 kg/m3 . assume the canary’s body to be a cylinder with 7 cm diameter and 9 cm length, and heat exchange is from the side as well as the top and bottom of cylinder. calculate 1) the net rate of heat lost by radiation, assuming heat gained by the bird through radiation from the surroundings is 11.5 w; 2) rate of heat transferred by convection to the surrounding air; 3) rate of heat transferred in the exhaling air without considering any internal evaporation; 4) total metabolic power.

Standing side by side ,you and a friend step off a bridge at different times and fall for 1.6s to the water below. your friend goes first, and you follow after he has dropped a distance of 2.0m. when your friend hits the water, is the seperation between the two of you 2.0m or more than 2.0m? verify your answer with a calculation.