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Gist Project:
1. Ideal Gas Law
- It is possible to combine the laws that describe the relationships
between volume and temperature (Charles's law), volume and pressure
(Boyle's law) and the knowledge that the volume of a gas is directly
proportional to the amount of gas into one simple relationship, the
Ideal Gas Law PV = nRT Here, P is pressure, V is volume, T is temperature,
n the number of moles of gas and R the ideal gas constant. Despite its
simplicity, this law is remarkably good at predicting the behavior of
real gases at ordinary temperatures and pressures. Once you know three
of the four properties of a gas (P,V,T,n), you can compute the fourth
easily. Moreover, this law applies to almost all gases: even though
argon is a noble gas and nitrogen is a diatomic molecule, they both
still obey the ideal gas law quite well.
2. Wave on a String
- Waves on a String
- Waves come in many different forms, but perhaps one most familiar
to us are waves on a string. In this simulation you can launch waves
of different amplitude and frequency down a string and watch what
happens when it hits the other end and reflects. The reflected wave
can either add to an incoming wave (constructive interference), or
the incoming and reflected waves can cancel out (destructive interference).
A wave on a string is known as a transverse wave since the string
itself actually moves perpendicular (up-down) to the motion of the
wave (left-right). Go ahead and try different initial conditions and
see what happens. A very rough analogy in space might be when a perturbation
from the Sun's solar wind impacts the Earth's magnetic field. The
solar wind acts as a driver and a magnetic field line acts like a
string. Pulses can move along the magnetic field line and satellites
in space can actually measure these waves
- Waves on a String
with Damping
- Waves can be damped when they travel through different materials.
In this wave on a string simulation you can see the effect of this
damping. If the damping is strong enough, the wave will not make it
through the damping region to the other side. You can play with the
damping strength and the driving wave amplitude and frequency. See
if you can get waves to travel through to the other side. Or what
happens when the damping is very strong. Try the simulation and find
out!
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