Convert the following mass into kilograms: a) 38475 Vg
Answer (2)
Convert Vigintograms (Vg) to kilograms (kg) using the conversion factor 1 Vg = 1 0 − 63 kg .
Multiply the given mass in Vg by the conversion factor: 38475 Vg = 38475 × 1 0 − 63 kg .
Simplify the expression: 38475 × 1 0 − 63 = 3.8475 × 1 0 4 × 1 0 − 63 = 3.8475 × 1 0 − 59 kg .
The final answer is: 3.8475 × 1 0 − 59 kg .
Explanation
Understanding the Problem We need to convert 38475 Vigintograms (Vg) into kilograms (kg). We know that 1 kg is equal to 1 0 63 Vg. Therefore, 1 Vg is equal to 1 0 − 63 kg.
Applying the Conversion Factor To convert 38475 Vg to kg, we multiply 38475 by 1 0 − 63 . This gives us: 38475 Vg = 38475 × 1 0 − 63 kg
Calculating the Result Now, we calculate the value: 38475 × 1 0 − 63 = 3.8475 × 1 0 4 × 1 0 − 63 = 3.8475 × 1 0 4 − 63 = 3.8475 × 1 0 − 59 kg
Final Answer So, 38475 Vg is equal to 3.8475 × 1 0 − 59 kg.
Examples
Imagine you are measuring extremely small masses, like the mass of individual molecules or subatomic particles. Vigintograms would be a unit used to express these masses, but for practical purposes, we often convert these to kilograms, which are more commonly used in everyday measurements and calculations. This conversion helps in scaling the mass to a more understandable and usable quantity in scientific research and applications.
To convert 38475 Vg to kg, we use the conversion factor where 1 Vg equals 1 0 − 63 kg. The calculation gives us 3.8475 × 1 0 − 59 kg as the final result. This process illustrates how to handle unit conversions, especially in scientific contexts.
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