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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The force acting on a particle varies as in Figure P5.59. Find the work done by the force as the particle moves (a) from x = 0 to x = 8.00 m, (b) from x = 8.00m to x = 10.0 m, and (c) from x = 0 to x = 10.0 m.

images

Figure P5.59

(a)

To determine
The work done by the force when the particle moves in the path from 0 to 8m .

Explanation

Given Info:

The particle is moving from x equals to 0 to 8m .

The work done by the force on the particle is the area under the cure in the force verses displacement graph.

Thus, the work done on the particle when it travels from A to C in the graph is equal to the area under the graph A to C.

Formula to calculate the work done is,

W08=12bh

  • b is the base of the triangle
  • h is the height of the triangle

Substitute 8m for b and 6

(b)

To determine
The work done by the force when the particle moves in the path from 8m to 10m .

(c)

To determine
The work done by the force when the particle moves in the path from 0m to 10m .

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