Rail gun and magnetic field question

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SUMMARY

The discussion centers on calculating the required muzzle velocity for a rail gun used by a Royal Zargon Warrior to hit a target located 9.50 m above him. Given the magnetic field strength of 1.26 T and the charge of the projectile at +1.60 C, the derived muzzle velocity is definitively 2,394 m/s. The calculations utilize the force equation F=qvBsin(theta) and the gravitational force equation F=mg to determine the necessary parameters for the projectile's trajectory.

PREREQUISITES
  • Understanding of electromagnetic force equations, specifically F=qvBsin(theta)
  • Knowledge of gravitational force calculations, particularly F=mg
  • Familiarity with projectile motion and circular paths in physics
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the principles of electromagnetism, focusing on Lorentz force
  • Explore projectile motion in varying gravitational fields
  • Learn about the applications of rail guns in modern technology
  • Investigate the effects of magnetic fields on charged particles
USEFUL FOR

This discussion is beneficial for physics students, educators, and enthusiasts interested in electromagnetism, projectile motion, and the practical applications of theoretical physics concepts.

Turpulus
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Homework Statement


The planet Zargon has a magnetic field that is oriented the same as Earth’s, but has a magnitude of 1.26 T! A Royal Zargon Warrior is exploring the Badlands at the Zargon equator when he senses that a vicious octomorph is on top of the rock pillar 9.50 m above him. He dare not move from his position, facing due East, for fear that the octomorph will see him. His rail gun, which has a varible muzzle velocity, shoots pellets of mass 4.00 g, that carry a charge of +1.60 C. What muzzle velocity should the Zargon Warrior adjust his rail gun to in order to kill the octomorph?


Homework Equations



F=qvbsintheta
F=mg

The Attempt at a Solution


So if he shoots the particle due east, the particle will deflect upward in a circular path with radius =mv/(qB), you want r to be 9.5m/2 = 4.75m, and the rest is algebra. Therefore I got a velocity of 2,394m/s. Is this correct?
 
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Yes, 2394 m/s for the muzzle velocity is correct.

ehild
 

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