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Question: Assume you can prove that for our simple atomic model of an ideal gas the pressure P = 1/3 ρ<v>2 , where ρ is the density of the gas and <v>2, is the average of the square of the velocity of the gas molecules.
a. Use the ideal gas law to derive a relation between the temperature of this gas (measured in kelvins) and the average kinetic energy of a gas molecule.
b. If the gas is helium (M = 4u), what is the value of the average kinetic energy of a helium atom at room temperature?
c. If the gas consisted of oxygen molecules (M = 32), what would be the average kinetic energy of a molecule at room temperature? Explain your answer.
An airplane is 5000 meter above an observer and 2.1 kilometer to the west of them and 1.5 kilometer to the north of you. Calculate the total distance to the plane from you
An infinitely long line of charge has a linear charge density of 5.00×10^?12 C/m. A proton is at distance 12.0 cm from the line and is moving directly toward the line with speed 1500 m/s. How close does the proton get to the line of charge?
The total area of an airplane's wings is 40.0m2 and it's weight is 49.0KN. the density of air is 1.3kg/m3. calculate the speed over the bottom surface
Dave's foot (mass = 1.019 kg) is in contact with the ground and at static equilibrium. What is the torque (Nm) produced by the muscles that span the ankle
You've been sent to a new planet. In order to determine the planet's free-fall acceleration, At what time is the ball at its maximum height
Water is pumped steadily out of a flooded basement at a speedof 5.5 m/s through a uniform hose of radius 1.1 cm. What is the power of the pump
Calculate the buoyancy force exerted by a liquid of density 933 kg/m^3 on a cube of a metal with density 1643 kg/m^3 and volume 18 cm^3. (gravity is 9.8m/s^2) (Give the result in Newton)
After 6.00 kg of water at 79.2 oC is mixed in a perfect thermos with 3.00 kg of ice at 0.0 oC, the mixture is allowed to reach equilibrium. find the change in entropy that occurs
A converging lens has a focal length on both sides of 20 cm. An object is placed to the left of the lens at 60 cm. The object is 12 cm in height. What is the image distance? What is the lateral magnification? What is the height of the image?
A piano tuner sounds two strings simultaneously. One has been previously tuned to vibrate at 283.0 Hz. The tuner hears 5.0 beats per second. What was the original frequency of the untuned string
A 20 kg crate rests on a level surface. the surface has a coefficient of kinetic friction of 0.15 and a coefficient of static friction of 0.3. what is the minimum force necessary to begin sliding the crate across the floor? Please show all work an..
A car travels at a constant speed around a circular track whose radius is 3.1 km, What is the magnitude of the centripetal acceleration of the car
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