What is the value of 1 Joule in terms of base SI units?

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Question: What is the value of 1 Joule in terms of base SI units?

Options:

Correct Answer: 1 kg·m²/s²

Solution:

1 Joule is defined as 1 kg·m²/s², which is the product of mass, distance squared, and time squared.

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?

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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