The work done by the force is to be estimated.
Answer to Problem 14P
The work done by the force on the particle is 7.04J
Explanation of Solution
Given
It is given that the particle is moving along the axis with x=0 and x=4 and the graph is given below −
Formula used:
The following formula will be used to calculate the net work done by the force on the particle −
Calculation:
The total area under the given curve of the graph is representing the work done by the force on the particle. It is represented as −
The final work done will be the summation of the area of triangle and rectangle under the curve −
Area of portion (1) =
Area of portion 2(a) = Area of rectangle
Area of portion 2(b) = Area of triangle
Area of portion 2(c) = Area of rectangle
Area of portion 2(d) = Area of triangle
Area of portion 3(a) = Area of rectangle
Area of portion 3(b) = Area of rectangle
Area of portion 3(c) = Area of rectangle
Area of portion 3(d) = Area of triangle
Area of portion 4(a) = Area of rectangle
Area of portion 4(b) = Area of rectangle
Area of portion 4(c) = Area of rectangle
Area of portion 4(d) = Area of triangle
Area of portion 4(e) = Area of triangle
Now, the work done by the force on the particle can be given as −
Conclusion: It can be concluded that the work done by the force on particle is 7.04J.
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Chapter 7 Solutions
Physics Fundamentals
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