   Chapter 5, Problem 59P

Chapter
Section
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. 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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