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What is the constent in the field of central force?
In the field of central force, the constant refers to the conservation of angular momentum of a particle moving under the influence of a central force. This constant allows us to analyze the motion of the particle and understand its behavior without explicitly solving the differential equations of motion.
Why magnetic force not do any work?
Magnetic force does not do any work because it acts perpendicular to the direction of motion of the charged particle. Work is defined as force acting in the direction of motion, and since magnetic force acts perpendicular to the motion, it does not transfer energy to the particle in the form of work.
When a particle is moving in a circular motion what is the work done by it?
When a particle is moving in a circular motion at a constant speed, the work done by the particle is zero. This is because work is defined as force applied over a distance in the direction of the force, and in circular motion, the force and displacement are perpendicular to each other, resulting in no work being done.
What factors should be considered when analyzing the motion of a particle of reduced mass orbiting in a central force field?
When analyzing the motion of a particle of reduced mass orbiting in a central force field, factors to consider include the magnitude and direction of the central force, the initial velocity and position of the particle, the shape and size of the orbit, and any external influences affecting the motion. These factors help determine the trajectory and behavior of the particle within the central force field.
Can a charged particle moved through a magnetic field without experiencing any force?
No, a charged particle will experience a force when moving through a magnetic field as long as it has a non-zero velocity component perpendicular to the field. This force is known as the magnetic Lorentz force.
What is the constent in the field of central force?
In the field of central force, the constant refers to the conservation of angular momentum of a particle moving under the influence of a central force. This constant allows us to analyze the motion of the particle and understand its behavior without explicitly solving the differential equations of motion.
3 What factors affect the increase of the centripetal force on a particle in uniform circular motion?
The centripetal force on a particle in uniform circular motion increases with the speed of the particle and the radius of the circular path. The mass of the particle also affects the centripetal force, as a heavier particle requires a stronger force to keep it moving in a circle at a constant speed.
Why magnetic force not do any work?
Magnetic force does not do any work because it acts perpendicular to the direction of motion of the charged particle. Work is defined as force acting in the direction of motion, and since magnetic force acts perpendicular to the motion, it does not transfer energy to the particle in the form of work.
When a particle is moving in a circular motion what is the work done by it?
When a particle is moving in a circular motion at a constant speed, the work done by the particle is zero. This is because work is defined as force applied over a distance in the direction of the force, and in circular motion, the force and displacement are perpendicular to each other, resulting in no work being done.
What factors affect the increase of the centripetal force on a particle in uniform circular motion?
Increase in radius affect the increase of the centripetal force on a particle in uniform circular motion. An increase in radius would cause a decrease in the force if velocity remains constant.
What factors should be considered when analyzing the motion of a particle of reduced mass orbiting in a central force field?
When analyzing the motion of a particle of reduced mass orbiting in a central force field, factors to consider include the magnitude and direction of the central force, the initial velocity and position of the particle, the shape and size of the orbit, and any external influences affecting the motion. These factors help determine the trajectory and behavior of the particle within the central force field.
How can you show that force certainly acts on a particle moving along circular path?
If no force acts on a particle, that particle will either be motionless, or will move in a straight line; this follows from Newton's laws of motion. When a particle is moving in a circular path, the direction of its motion is constantly changing, and to change the direction of motion requires force. We know that force equal mass times acceleration, which is the basis of all physics, as originally stated by Newton. So if a mass is being accelerated, then force is being applied. That is an inescapable conclusion. And only acceleration can change the direction in which a particle moves.
Can a charged particle moved through a magnetic field without experiencing any force?
No, a charged particle will experience a force when moving through a magnetic field as long as it has a non-zero velocity component perpendicular to the field. This force is known as the magnetic Lorentz force.
Motion of charge particle in an electric field?
When a charged particle is placed in an electric field, it experiences a force due to the field. This force causes the particle to accelerate in the direction of the field if the charge is positive, or in the opposite direction if the charge is negative. The motion of the particle will depend on its initial velocity and the strength and direction of the electric field.
What requirement must be satisfied by a force acting on a particle in order for the particle to undergo simple harmonic motion?
The force acting on the particle must be directly proportional and opposite in direction to the displacement from the equilibrium position. This requirement ensures that the particle experiences a restoring force that brings it back towards the equilibrium position, allowing for simple harmonic motion to occur.
How does the mass affect the force of an object?
According to Newton's Second Law of Motion,F=ma, where F is the applied force, m is the mass of the particle and a is acceleration of the particle. Thus, Force, F is directly proportional to mass.
What is the central force problem and how does it relate to the dynamics of a particle under the influence of a central force?
The central force problem is a physics concept that deals with the motion of a particle under the influence of a force that always points towards a fixed center. This force causes the particle to move in a curved path around the center. Understanding this problem helps in analyzing the dynamics and behavior of the particle in such a system.
