Which of the following physical quantities is different from others?

Options

A. Work
B. Kinetic energy
C. Force
D. Potential energy

Answer

To determine which physical quantity is different from the others among the options given (work, kinetic energy, force, potential energy), we can analyze the nature of each quantity:

### Step 1: Identify the nature of each quantity
- **Work**: Work is defined as the product of force and displacement in the direction of the force. It is a scalar quantity.
- **Kinetic Energy**: Kinetic energy is the energy of an object due to its motion, calculated as \( KE = \frac{1}{2} mv^2 \). It is also a scalar quantity.
- **Potential Energy**: Potential energy is the energy stored in an object due to its position or configuration, calculated as \( PE = mgh \) (where \( m \) is mass, \( g \) is acceleration due to gravity, and \( h \) is height). It is a scalar quantity.
- **Force**: Force is defined as the interaction that causes an object to accelerate, calculated as \( F = ma \) (where \( m \) is mass and \( a \) is acceleration). Force is a vector quantity, which means it has both magnitude and direction.

### Step 2: Compare the quantities
From the analysis:
- Work, kinetic energy, and potential energy are all scalar quantities.
- Force is the only vector quantity among the options.

### Step 3: Conclusion
Since force is the only vector quantity while the others are scalars, the physical quantity that is different from the others is **Force**.

### Final Answer
**Force (Option 3) is different from the others.**

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