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Which of the following is not a unit of ...

Which of the following is not a unit of energy?

A

`W-s`

B

kg-m/sec

C

N-m

D

Joule

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following is not a unit of energy, we will analyze each option one by one. ### Step 1: Analyze the first option - Watt into second - **Watt (W)** is defined as one joule per second (1 W = 1 J/s). - Therefore, when we multiply watt by time (in seconds), we get: \[ \text{Energy} = \text{Power} \times \text{Time} = \text{Watt} \times \text{Second} = (1 \, \text{J/s}) \times (1 \, \text{s}) = 1 \, \text{J} \] - Thus, **Watt into second is a unit of energy**. ### Step 2: Analyze the second option - kg into meter per second - The expression \( \text{kg} \times \text{m/s} \) represents momentum, where: \[ \text{Momentum} = \text{Mass} \times \text{Velocity} = \text{kg} \times \text{m/s} \] - Since momentum is not a unit of energy, **this option is not a unit of energy**. ### Step 3: Analyze the third option - Newton into meter - The unit Newton (N) is defined as: \[ 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2 \] - Work done (or energy) is calculated as: \[ \text{Work} = \text{Force} \times \text{Displacement} = \text{N} \times \text{m} \] - Therefore, \( \text{N} \times \text{m} \) is indeed a unit of energy (specifically, it is equal to joules). ### Step 4: Analyze the fourth option - Joule - The joule (J) is the standard unit of energy in the International System of Units (SI). - It is defined as the amount of energy transferred when a force of one newton is applied over a distance of one meter. - Thus, **joule is a unit of energy**. ### Conclusion After analyzing all the options, we find that the second option, **kg into meter per second**, is not a unit of energy. ### Final Answer: The option that is not a unit of energy is **kg into meter per second**. ---

To determine which of the following is not a unit of energy, we will analyze each option one by one. ### Step 1: Analyze the first option - Watt into second - **Watt (W)** is defined as one joule per second (1 W = 1 J/s). - Therefore, when we multiply watt by time (in seconds), we get: \[ \text{Energy} = \text{Power} \times \text{Time} = \text{Watt} \times \text{Second} = (1 \, \text{J/s}) \times (1 \, \text{s}) = 1 \, \text{J} \] ...
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