One newton × One meter equals?

1. Analyze the question

The question asks for the physical unit equivalent to the product of one newton (unit of force) and one meter (unit of distance/displacement).

2. Explain the concept

In Physics, Work Done is defined as the product of the force applied to an object and the displacement of the object in the direction of the force.

The formula is:

Where:

• W = Work Done
• F = Force (measured in Newtons, N)
• d = Displacement (measured in meters, m)

Since the unit of force is the Newton (N) and the unit of displacement is the meter (m), the unit for Work Done is Newton-meter (N·m). By international convention (SI units), this unit is named the Joule (J) in honor of the physicist James Prescott Joule.

3. Show the solution

• Force = 1 Newton (N)
• Distance = 1 meter (m)
• Work = Force × Distance
• Work = 1 N × 1 m = 1 N·m
• Since 1 N·m is defined as 1 Joule:
• 1 N·m = 1 Joule

4. Identify the answer

Comparing our result to the given options: A. One water (Incorrect) B. One Joule (Correct) C. One ampere (Incorrect - this is the unit of electric current) D. One kilogram (Incorrect - this is the unit of mass)

The correct option is B.

5. Exam Tip

Remember the acronym "WFD" (Work = Force × Displacement). Whenever you see units multiplied together in physics, check if they represent a derived SI unit. A Newton-meter is the same as a Joule, and it is also the same unit used for Torque (though torque is a vector quantity and work is a scalar, they share the same dimensional unit).