A force F = 0.5x + 10 acts on a particle. Here F is in newton and x is in metre. Calculate the work done by the force during the displacement of the particle from x = 0 to x = 2 metre.

Explanation

To calculate the work done by the force \( F = 0.5x + 10 \) during the displacement of the particle from \( x = 0 \) to \( x = 2 \) meters, we can follow these steps:

### Step 1: Understand the Work Done Formula
The work done \( W \) by a variable force can be calculated using the integral of the force over the distance. The formula is given by:
\[ W = \int_{x_1}^{x_2} F \, dx \]
where \( F \) is the force as a function of position \( x \), and \( x_1 \) and \( x_2 \) are the initial and final positions.
...