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Calculate the force on a particle from a disc?

1) The force is zero
2) The force depends on the mass of the particle
3) The force depends on the radius of the disc
4) The force depends on the speed of the particle

1 Answer

4 votes

Final answer:

The force on a particle near a disc may depend on several factors including the charge of the particle, the magnetic field (if considering magnetic forces), and the mass distribution of the disc itself (if considering gravitational forces). The speed of the particle is relevant in magnetic scenarios but not for static electric or gravitational forces.

Step-by-step explanation:

Force on a Particle in a Magnetic Field

The force exerted on a charged particle in a magnetic field, known as the Lorentz force, is given by the vector product F = q(v × B), where q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field vector. Hence, the force depends on the charge of the particle, the velocity of the particle, and the magnetic field it is moving through.

Coulomb's Law describes the electric force between two charged particles, which depends on the magnitude of the charges and the distance between them, not the mass nor the speed of the particles. For gravitational force, the force between two masses follows Newton's Law of Universal Gravitation, and it depends on both masses and the square of the distance between the centers of the two masses.

When considering the force on a particle from a disc, the situation can involve gravitational, electrostatic, or even magnetic forces depending on the context of the disc (e.g., mass distribution, charge distribution, motion). For example, the force due to gravity on a particle due to a massive disc would depend on the mass of the particle and the radius (mass distribution) of the disc, not the speed. If the disc is charged, Coulomb's law would apply, and the force would depend on the charge distributions and not the speed of the particle.

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