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An ion with an electrical charge of 1.6 × 10-1⁹ C moves at a speed of 1.0 × 10⁰ m/s into a uniform magnetic field which points perpendicular to the direction the particle is moving with a strength of 0.3 T. After entering the field, the particle moves along a circular path with a radius of 0.31 m. Use this information to determine the mass of the ion (the force Earth exerts on the particle is negligible).

An ion with an electrical charge of 1.6 × 10-1⁹ C moves at a speed of 1.0 × 10⁰ m/s into a uniform magnetic field which points perpendicular to the direction the particle is moving with a strength of 0.3 T. After entering the field, the particle moves along a circular path with a radius of 0.31 m. Use this information to determine the mass of the ion (the force Earth exerts on the particle is negligible).

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In a neat and organized fashion, write out a solution to the problem above which includes all of the following: • A fully-labeled sketch of the physical situation which includes all relevant objects and moments in time, and the path of the ion. The directions of all vector quantities in your sketch must be consistent. • A force diagram which represents the forces exerted on the ion when it is in the magnetic field. Use the information provided and your representations to determine the mass of the ion. Explain each step in your solution as you make it. If you use any Right-Hand Rules, explain how you used them (just saying "I used the right-hand rule to determine the direction of B" is not sufficient). • An evaluation of your solution (not just your final answer). ●
Transcribed Image Text:In a neat and organized fashion, write out a solution to the problem above which includes all of the following: • A fully-labeled sketch of the physical situation which includes all relevant objects and moments in time, and the path of the ion. The directions of all vector quantities in your sketch must be consistent. • A force diagram which represents the forces exerted on the ion when it is in the magnetic field. Use the information provided and your representations to determine the mass of the ion. Explain each step in your solution as you make it. If you use any Right-Hand Rules, explain how you used them (just saying "I used the right-hand rule to determine the direction of B" is not sufficient). • An evaluation of your solution (not just your final answer). ●
19 An ion with an electrical charge of 1.6 × 10-¹⁹ C moves at a speed of 1.0 × 106 m/s into a uniform magnetic field which points perpendicular to the direction the particle is moving with a strength of 0.3 T. After entering the field, the particle moves along a circular path with a radius of 0.31 m. Use this information to determine the mass of the ion (the force Earth exerts on the particle is negligible).
Transcribed Image Text:19 An ion with an electrical charge of 1.6 × 10-¹⁹ C moves at a speed of 1.0 × 106 m/s into a uniform magnetic field which points perpendicular to the direction the particle is moving with a strength of 0.3 T. After entering the field, the particle moves along a circular path with a radius of 0.31 m. Use this information to determine the mass of the ion (the force Earth exerts on the particle is negligible).
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