Multiple Choice
The metric system is based on the SI unit, which is the primary unit of length. What is this unit?
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1. Intro to General Chemistry
SI Units
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Which of the following is equivalent to 1 N·m in terms of SI base units?
A
1 kg·m·s^{-1}
B
1 kg·m·s^{-2}
C
1 kg·m^2·s^{-2}
D
1 kg·m^2·s^{-1}
Verified step by step guidance1
Recall that 1 N (newton) is defined as the force required to accelerate 1 kg of mass at 1 m/s². In SI base units, 1 N = 1 kg·m·s^{-2}.
Understand that 1 N·m (newton meter) is a unit of torque or work, which is force multiplied by distance. So, 1 N·m = (1 N) × (1 m).
Substitute the base unit expression for newton into the equation: 1 N·m = (1 kg·m·s^{-2}) × (1 m).
Multiply the units together by combining like terms: kg·m·s^{-2} × m = kg·m^{2}·s^{-2}.
Conclude that 1 N·m expressed in SI base units is equivalent to 1 kg·m^{2}·s^{-2}.
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