Final answer:
To find the work done by the given force, we need to calculate the area under the force-time graph.
Step-by-step explanation:
The given force can be represented as fx = 10N*sin(2πt/4.0s). This force is exerted on a particle with a mass of 320g from 0s to 2.0s.
To find the work done by this force, we can use the formula for work: Work = Force * Displacement * cos(theta). Since the force is in the x-direction and there is no displacement in the y-direction, the angle theta is 0 degrees.
Thus, the work done by the force is equal to the area under the force-time graph, which is the integral of the force over the given time interval.