An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
To convert meters to astronomical units (AU), divide the distance in meters by the number of meters in one AU.
One AU is approximately 1.5 × 1 0 11 meters.
Divide the average distance in meters by 1.5 × 1 0 11 to get the distance in AU.
Therefore, the correct conversion method is to divide the average distance by 1.5 × 1 0 11 .
Explanation
Understanding the Conversion We need to convert the average distance of Mars from the Sun from meters into astronomical units (AU). We know that 1 AU is approximately equal to $1.5
\times 10^{11}$ meters. To convert meters to AU, we need to divide the distance in meters by the number of meters in one AU.
Performing the Conversion To convert the average distance from meters to AU, we will perform the following calculation:
Distance in AU = 1.5 × 1 0 11 Distance in meters
This means we should divide the average distance in meters by 1.5 × 1 0 11 .
Conclusion Therefore, Enrico should divide the average distance by 1.5 × 1 0 11 to convert it from meters to astronomical units.
Examples
Imagine you're building a scale model of the solar system. You measure the distance from a model Earth to the model Sun in centimeters, but you want to express the distance of Mars from the Sun in terms of astronomical units to keep the scale consistent. Knowing how to convert between units like meters and astronomical units helps you accurately represent distances in your model and understand the relative positions of planets in the solar system. This conversion is crucial for maintaining the correct proportions and making your model scientifically accurate.
To find the number of electrons flowing through the device with a current of 15.0 A for 30 seconds, we first calculate the total charge, which is 450 coulombs. Then, dividing this charge by the charge of a single electron (1.6 × 10 -19 C), we find that approximately 2.81 × 10 21 electrons flow through the device.
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