Consider N non-interacting diatomic molecules stuck on a metal surface. Each molecule can either lie flat on the surface, in whi
ch case it must be aligned to one of two directions, x and y, or it can stand up along the z direction. There is an energy cost e > 0 associated with a molecule standing up, and zero energy for molecules lying flat along x or y directions.
What are the possible energy levels for this system of N particles, and what is the number of microstates associated to each energy level?
Find the entropy and energy of the system as a function of the temperature, T.
What is the probability of a specific molecule standing up?
What is the largest possible value of the energy of the system at any temperature?
What are the possible energy levels for this system of N particles, and what is the number of microstates associated to each energy level?
Find the entropy and energy of the system as a function of the temperature, T.
What is the probability of a specific molecule standing up?
What is the largest possible value of the energy of the system at any temperature?
1 answer:
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Answer:
1)
2)
Explanation:
<u>Projectile Motion</u>
When an object is launched near the Earth's surface forming an angle with the horizontal plane, it describes a well-known path called a parabola. The only force acting (neglecting the effects of the wind) is the gravity, which acts on the vertical axis.
The heigh of an object can be computed as
Where is the initial height above the ground level,
is the vertical component of the initial velocity and t is the time
The y-component of the speed is
1) We'll find the vertical component of the initial speed since we have not enough data to compute the magnitude of
The object will reach the maximum height when . It allows us to compute the time to reach that point
Solving for
Thus, the maximum heigh is
We know this value is 8 meters
Solving for
Replacing the known values
2) We know at t=1.505 sec the ball is above Julie's head, we can compute