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What are the key differences between Eulerian and Lagrangian fluids in fluid dynamics?
In fluid dynamics, Eulerian fluids are described based on fixed points in space, while Lagrangian fluids are described based on moving particles. Eulerian fluids focus on properties at specific locations, while Lagrangian fluids track individual particles as they move through the fluid.
What will happen to the wavelength associated with a moving particle if its velocity is reduced to half?
If the velocity of a moving particle is reduced to half, the wavelength associated with it will remain the same. The wavelength of a particle is determined by its momentum, not its velocity.
When a particle is not moving what type of energy does it have?
When a particle is not moving, it still has potential energy due to its position in a force field. This potential energy can be gravitational, elastic, or related to other forces acting on the particle.
When faster moving and slower moving particles collide which particles gain energy?
It depends upon the mass of the particles also. Assuming equal mass, then the slower moving particle gains some energy, and the faster moving particle loses energy. However, if the slower moving particle had greater mass, it could transfer energy to the faster moving particle.
What must a charged particle be doing in order to experience a magnetic force?
A charged particle must be moving in a magnetic field in order to experience a magnetic force. If the particle is stationary, it will not experience a magnetic force.
What are the key differences between Eulerian and Lagrangian fluids in fluid dynamics?
In fluid dynamics, Eulerian fluids are described based on fixed points in space, while Lagrangian fluids are described based on moving particles. Eulerian fluids focus on properties at specific locations, while Lagrangian fluids track individual particles as they move through the fluid.
What will happen to the wavelength associated with a moving particle if its velocity is reduced to half?
If the velocity of a moving particle is reduced to half, the wavelength associated with it will remain the same. The wavelength of a particle is determined by its momentum, not its velocity.
When a particle is not moving what type of energy does it have?
When a particle is not moving, it still has potential energy due to its position in a force field. This potential energy can be gravitational, elastic, or related to other forces acting on the particle.
What is the lagrangian of a system of A particle of mass m which is constrained to move on the surface of a sphere which is at rest at ground?
L=1/2m(r'^2+r^2*Sin[theta]^2*phi'^2+r^2*theta'^2)-mgr Sin[theta]. Where theta is the polar angle from the z axis, and phi is the azimuthal. I assumed a uniform grav field down.
What happens when a sphere strikes a sphere?
The answer depends on their relative masses and elasticity. Some of the kinetic energy of the first sphere will be lost in sound (the bang), some will be absorbed by the elasticity of the two spheres. If there is any energy left over, the second sphere will begin to move in the direction that the first one was moving in. Finally, depending the first sphere may continue moving in the direction in which it was moving, it may come to a stop or it may reverse its direction of motion.
What happens when an air particle pushes against another air particle?
The air particle with the greater force moves the other air particle in the general direction it was moving
When faster moving and slower moving particles collide which particles gain energy?
It depends upon the mass of the particles also. Assuming equal mass, then the slower moving particle gains some energy, and the faster moving particle loses energy. However, if the slower moving particle had greater mass, it could transfer energy to the faster moving particle.
What must a charged particle be doing in order to experience a magnetic force?
A charged particle must be moving in a magnetic field in order to experience a magnetic force. If the particle is stationary, it will not experience a magnetic force.
How can you find the direction of particle at a given time if the particle is moving in circle?
The direction of a particle moving in a circle at a given time can be found by determining the tangent to the circle at that point. The tangent is perpendicular to the radius of the circle at that point and indicates the direction of motion.
When a particle is moving on a circular track of radius r with angular speed W the linear speed of the particle will be?
The linear speed of the particle moving on a circular track can be found using the formula v = r * ω, where v is the linear speed, r is the radius of the circle, and ω is the angular speed of the particle.
What are three things that a magnetic field may do to moving charged particles?
Accelerate the particle but not beyond C, the speed of light Decelerate the particle Divert the particle's path.
What is degree of freedom of a particle when moving on a surface?
A particle moving on a surface has two degrees of freedom: one for movement along the surface (translation) and one for rotation around an axis perpendicular to the surface.
