In a certain region, the earth's magnetic field has a magnitude

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SUMMARY

The discussion centers on calculating the electric charge of an electrically charged bullet fired in a magnetic field with a magnitude of 5.30e-5 T, directed north at a 57° angle below the horizontal. The bullet travels north at 681 m/s and at an angle of 11° above the horizontal, resulting in a magnetic force of 2.90e-10 N directed east. The formula used for the calculation is q = f / (vBsin(theta)), leading to an initial result of -9e-9 C, indicating a negative charge according to the right-hand rule. The participant expresses uncertainty about the accuracy of their calculation and the significance of rounding.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with the right-hand rule for magnetic force direction
  • Knowledge of trigonometric functions, specifically sine
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Review the application of the right-hand rule in electromagnetism
  • Study the derivation and application of the formula q = f / (vBsin(theta))
  • Explore the significance of significant figures in scientific calculations
  • Investigate the effects of angle measurements in physics problems
USEFUL FOR

Students in physics, particularly those studying electromagnetism, educators teaching related concepts, and anyone involved in solving problems related to magnetic forces and electric charges.

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Homework Statement


In a certain region, the Earth's magnetic field has a magnitude of 5.30e-5 T and is directed north at an angle of 57° below the horizontal. An electrically charged bullet is fired north and 11° above the horizontal, with a speed of 681 m/s. The magnetic force on the bullet is 2.90e-10 N, directed due east. Determine the bullet's electric charge, including its algebraic sign (+ or −).





Homework Equations



q = f / vBsin(theta)

The Attempt at a Solution



q = 2.90e-10 N / (681)(5.30e-5)(sin 11+57)

-9e-9

My answer is negative according to the right hand rule.

I'm wrong, but I don't know where I went wrong. If you could help me I would greatly appreciate it. Thank you!
 
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The calc looks good to me but I get a slightly different answer. Surely you are not supposed to round it to one significant digit?
 

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