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

Practice Questions

Q1
What is the value of 1 Joule in terms of base SI units?
  1. 1 kg·m²/s²
  2. 1 kg·m/s²
  3. 1 m²/s²
  4. 1 kg·s²/m

Questions & Step-by-Step Solutions

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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