The force acting on a particle varies as shown in the figure below. (The x-axis in the graph has its tick marks marked in increments of 2.00 m.)[Graph showing force vs. distance]- The graph plots \( F_x \) (N) on the y-axis against \( x \) (m) on the x-axis.- The graph is a piecewise linear graph with the following key points: - Point A: (0, 0) - Point B: (4, 6) - Point C: (8, 0) - Point D: (16, -2) - Point E: (24, 0)- The graph consists of straight lines connecting these points: from A to B, B to C, C to D, and D to E.Find the work done by the force on the particle as it moves across the following distances:- (a) From \( x = 0 \) m to \( x = 16.00 \) m- (b) From \( x = 16.00 \) m to \( x = 24.00 \) m- (c) From \( x = 0 \) m to \( x = 24.00 \) m

work done is given by the area of force displacement graph. (a) work done from x = 0 to x= 16 m is…

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