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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.
Degree of freedom in classical mechanics?
Number of independent coordinates that are required to describe the motion of a system is called degrees of freedom. In a system of N -particles, if there are k -equations of constraints, we have n  3N  k number of independent coordinates. n  degrees of freedom
What is the Lagrangian for a particle moving on a sphere?
The Lagrangian for a particle moving on a sphere is the kinetic energy minus the potential energy of the particle. It takes into account the particle's position and velocity on the sphere.
How many number of degrees of freedom for a particle moving ona given space curve?
Two. One for its location on the curve (which, because it is a curve, requires only a single piece of information) and another one for its speed along the curve. Its phase space is thus two-dimensional.
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 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.
