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**Problem 1:**

A non-constant force on a particle of mass \( m \) is given by

\[ F = F_0 \left( \frac{x}{x_0} + 1 \right) \]

where \( F_0 \) and \( x_0 \) are constants. The knowns are \( F_0 \), \( x_0 \), and \( m \).

**(a)** Find the work done by \( F \) in moving the particle from \( x = 0 \) to \( x = 2x_0 \).

**(b)** If the particle has mass \( m \) and started from rest, what is its final speed?

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