Question:
In SI units, \(kg\;m^2\;s^{-2}\) is equivalent to which of the following?
In SI units, \(kg\;m^2\;s^{-2}\) is equivalent to which of the following?
Show Hint
Remember the important SI unit relation:
\[
1\;\text{joule}=1\;kg\;m^2\;s^{-2}
\]
It represents the unit of work or energy.
Updated On: Jun 22, 2026
- newton
- watt
- joule
- pascal
Show Solution
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The Correct Option is C
Solution and Explanation
Step 1: Recall the SI unit of work or energy.
The SI unit of work and energy is
joule.
One joule is defined as \[ 1\;J = 1\;N \times 1\;m \]
Step 2: Write the SI unit of newton.
We know that \[ 1\;N = 1\;kg\;m\;s^{-2} \] Substituting this into the expression for joule, \[ 1\;J = (kg\;m\;s^{-2}) \times m \] \[ =kg\;m^2\;s^{-2} \]
Step 3: Compare with the given unit.
Given unit is \[ kg\;m^2\;s^{-2} \] which is exactly equal to \[ 1\;\text{joule} \]
Step 4: Final conclusion.
Hence, the correct answer is \[ \boxed{\text{joule}} \]
The SI unit of work and energy is
joule.
One joule is defined as \[ 1\;J = 1\;N \times 1\;m \]
Step 2: Write the SI unit of newton.
We know that \[ 1\;N = 1\;kg\;m\;s^{-2} \] Substituting this into the expression for joule, \[ 1\;J = (kg\;m\;s^{-2}) \times m \] \[ =kg\;m^2\;s^{-2} \]
Step 3: Compare with the given unit.
Given unit is \[ kg\;m^2\;s^{-2} \] which is exactly equal to \[ 1\;\text{joule} \]
Step 4: Final conclusion.
Hence, the correct answer is \[ \boxed{\text{joule}} \]
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