Force, Distance, Work Calculator

What is Force, Distance, and Work?

In physics, force, distance, and work are interconnected concepts that help us understand energy transfer and motion:

• Force (F): A push or pull acting on an object, measured in Newtons (N).
• Distance (d): The length of the path over which a force acts, measured in meters (m).
• Work (W): The energy transferred when a force moves an object over a distance, measured in Joules (J).

Formula

The relationship between force, distance, and work is expressed by the following equation:

\[ W = F \cdot d \]

Where:

• \( W \) = Work (measured in Joules, J)
• \( F \) = Force (measured in Newtons, N)
• \( d \) = Distance (measured in meters, m)

Calculation Steps

Let's calculate the work done when a force of 50 N moves an object over a distance of 3 m:

1. Identify the known values:
   • Force (F) = 50 N
   • Distance (d) = 3 m
2. Apply the work formula: \[ W = F \cdot d \]
3. Substitute the known values: \[ W = 50 \text{ N} \cdot 3 \text{ m} \]
4. Perform the calculation: \[ W = 150 \text{ J} \]

Example and Visual Representation

Consider a scenario where a person is pushing a heavy box across a room. The force applied is 50 N, and the box moves a distance of 3 m. Let's visualize this:

This visual representation illustrates:

• The box being pushed (gray rectangle)
• The force applied (50 N) represented by the green arrow
• The distance over which the force acts (3 m) represented by the blue line
• The work done (150 J) indicated above the diagram