The National High Magnetic Field Laboratory once held the world record for creating the strongest magnetic field. Their largest hybrid magnet can produce a constant magnetic field of 45 T. To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration amax the field could produce for Na+ ions (of mass 3.8 × 10-26 kg) in blood traveling through the aorta. The speed of blood is highly variable, but 55 cm/s is reasonable in the aorta. Amax = m/s?
The National High Magnetic Field Laboratory once held the world record for creating the strongest magnetic field. Their largest hybrid magnet can produce a constant magnetic field of 45 T. To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration amax the field could produce for Na+ ions (of mass 3.8 × 10-26 kg) in blood traveling through the aorta. The speed of blood is highly variable, but 55 cm/s is reasonable in the aorta. Amax = m/s?
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![### The Impact of Strong Magnetic Fields on Human Health
The National High Magnetic Field Laboratory once held the world record for creating the strongest magnetic field. Their largest hybrid magnet can produce a constant magnetic field of 45 T.
To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration \( a_{max} \) the field could produce for \( \text{Na}^+ \) ions (of mass \( 3.8 \times 10^{-26} \) kg) in blood traveling through the aorta. The speed of blood is highly variable, but 55 cm/s is reasonable in the aorta.
#### Formula and Calculation
To find the maximum acceleration \( a_{max} \):
\[ a_{max} = \]
\[ \boxed{\text{m/s}^2} \]
- **Magnetic Field Strength (B):** 45 T
- **Mass of \( \text{Na}^+ \) Ion (\(m\)):** \(3.8 \times 10^{-26} \) kg
- **Speed of Blood (v):** 55 cm/s (which is 0.55 m/s)
### Explanation
This calculation can help understand the potential health implications of working near very strong magnetic fields, particularly considering the effect on ions within the human body.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37e1db01-06d0-4e20-aae1-26f96b6814c3%2F50b757dd-97b9-4729-bc21-4809cde50b31%2Frrjbswf_processed.png&w=3840&q=75)
Transcribed Image Text:### The Impact of Strong Magnetic Fields on Human Health
The National High Magnetic Field Laboratory once held the world record for creating the strongest magnetic field. Their largest hybrid magnet can produce a constant magnetic field of 45 T.
To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration \( a_{max} \) the field could produce for \( \text{Na}^+ \) ions (of mass \( 3.8 \times 10^{-26} \) kg) in blood traveling through the aorta. The speed of blood is highly variable, but 55 cm/s is reasonable in the aorta.
#### Formula and Calculation
To find the maximum acceleration \( a_{max} \):
\[ a_{max} = \]
\[ \boxed{\text{m/s}^2} \]
- **Magnetic Field Strength (B):** 45 T
- **Mass of \( \text{Na}^+ \) Ion (\(m\)):** \(3.8 \times 10^{-26} \) kg
- **Speed of Blood (v):** 55 cm/s (which is 0.55 m/s)
### Explanation
This calculation can help understand the potential health implications of working near very strong magnetic fields, particularly considering the effect on ions within the human body.
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