Using dimensional analysis show that if the units of length and force are each doubled, the units of energy is increased four times?

Explanation

To solve the problem using dimensional analysis, we need to follow these steps:

### Step 1: Understand the relationship between energy, force, and distance.
Energy (E) is defined as the work done, which can be expressed as:
\[ E = \text{Force} \times \text{Distance} \]

### Step 2: Identify the units of force and distance.
- The unit of force is Newton (N).
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