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1. We saw in class that a 3-dimensional ideal gas obeys pV = 3/2E, where p is the pressure, V is the volume, and E is the internal energy (average kinetic energy). Derive the corresponding formula for a two-dimensional ideal gas, i.e. a collection of noninteracting particles that moves on a plane.
(Hint: suppose a two-dimensional ideal gas of N particles, with internal energy E, is confined by one-dimensional "walls" to an area A; the pressure is defined as the force per unit length).
2. Each r seconds a particle, which was initially x = 0, jumps either left or right (each with probability 1/2) a distance a. At time tn= nr, the particle is at location xk = ka with probability P(n, k). Calculate P(n, k), <k> and <(delta(k))^2>.
pulsars are neutron stars that emit x rays and other radiation in such a way that we on earth receive pulses of
A capacitor with capacitance C = 4.10 x 10-6 F is connected to an AC power source having a peak value of 6.0 V and f = 150 Hz. Calculate the maximum current in the circuit
q1. a proton is moving at 2.00times105 ms and begins to circle at a radius of 5.00e-3 m. what is the strength of the
A 1000 kg car approaches an intersection traveling north at 20 m/s. A 1200 kg car approaches the same intersection traveling east at 22 m/s. The two cars collide at the intersection and lock together. Ignoring any external forces that act on the c..
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2.7 moles of neon gas expand adiabatically and in the process do 980J of work. Whats the gas's temperature drop
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Two parallel plates having charges of equal magnitude but opposite sign are separated by 16.0 cm. Each plate has a surface charge density of 48.0 nC/m2. A proton is released from rest at the positive plate.
Perfectly, when a thermometer is utilized to measure the temperature of an object, the temperature of the object itself must not change. However, if a important amount of heat flows from the object to the thermometer, the temperature will change.
An object with mass m1 = 5.90 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley, Find the magnitude of the acceleration of each object
A slide projector desires to create a 98 centimeter high image of a 2 centimeter tall slide. Find how far should you place the lens from the slide
When the power is turned off on a turntable spinning at 78 rpm, you find that it takes 10.5 revolutions for it to stop while slowing at a constant rate. What is the angular acceleration of the turntable
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