Apply the Work-Energy Theorem.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Step 1: Apply the Work-Energy Theorem.
The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy.
$$W = \Delta KE = KE_{final} - KE_{initial}$$
Step 2: Identify the given values.
Initial kinetic energy ($KE_{initial}$) = $65 \text{ J}$
Final kinetic energy ($KE_{final}$) = $130 \text{ J}$
Step 3: Substitute the values into the formula.
$$W = 130 \text{ J} - 65 \text{ J}$$
Step 4: Calculate the work done.
$$W = 65 \text{ J}$$
The work done by the force is $\boxed{\text{65 J}}$.
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