The force acting on a particle varies as in the figure below. (The x axis is marked in increments of 10.0 m.) A coordinate plane has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). There are five points, connected by straight lines in order from A to E. Point A is at (0,0). Point B is at (40,6). Point C is at (80,0). Point D is at (100,−3). Point E is at (120,0). Find the work done by the force as the particle moves across the following distances. (a) from x = 0 m to x = 80.0 m (b) from x = 80.0 m to x = 120.0 m (c) from x = 0 m to x = 120.0 m

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The force acting on a particle varies as in the figure below. (The x axis is marked in increments of 10.0 m.)
A coordinate plane has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). There are five points, connected by straight lines in order from A to E.
  • Point A is at (0,0). 
  • Point B is at (40,6). 
  • Point C is at (80,0). 
  • Point D is at (100,−3). 
  • Point E is at (120,0).
Find the work done by the force as the particle moves across the following distances.
(a) from x = 0 m to x = 80.0 m

(b) from x = 80.0 m to x = 120.0 m

(c) from x = 0 m to x = 120.0 m
Step 1
The work done on the particle by the force F as the particle moves from x = xi to x = xf is the area under the curve from xi to xf.

(a) For x = 0 to x = 80 m,
WAC =
  =
  =
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