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What is the value of 1 Joule in terms of base SI units?
What is the value of 1 Joule in terms of base SI units?
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Q1
What is the value of 1 Joule in terms of base SI units?
1 kg·m²/s²
1 kg·m/s²
1 m²/s²
1 kg·s²/m
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1 Joule is defined as 1 kg·m²/s², which is the product of mass, distance squared, and time squared.
Questions & Step-by-step Solutions
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Q
Q: What is the value of 1 Joule in terms of base SI units?
Solution:
1 Joule is defined as 1 kg·m²/s², which is the product of mass, distance squared, and time squared.
Steps: 7
Show Steps
Step 1: Understand that a Joule is a unit of energy in the International System of Units (SI).
Step 2: Recall the formula for kinetic energy, which is 1 Joule = 1/2 * mass (in kg) * velocity (in m/s)².
Step 3: Recognize that velocity is distance (in meters) divided by time (in seconds), so velocity squared is (m/s)².
Step 4: Substitute the velocity squared into the kinetic energy formula: 1 Joule = 1/2 * mass (kg) * (distance (m)/time (s))².
Step 5: Simplify the equation: 1 Joule = 1/2 * mass (kg) * (m²/s²).
Step 6: Since we are looking for the value of 1 Joule in terms of base SI units, we can ignore the 1/2 factor and focus on the units.
Step 7: Therefore, 1 Joule = kg·m²/s².
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