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Work, Energy And Power

Question
CBSEENPH11017145
Wired Faculty App

Find the work done in dragging a body of mass 3.8kg from x = 3m to x = 6m along X-axis by a force F = (6x2 - 4x + 4)N.

Solution

Given,
Force, F equals left parenthesis 6 x squared minus 4 x plus 4 right parenthesis straight N
Initial space distance comma space straight x subscript 1 equals 3 straight m Final space distance comma space space straight x subscript 2 equals 6 straight m
Work done by force is,
W italic equals integral subscript straight x subscript 1 end subscript superscript straight x subscript 2 end superscript straight F times dx space space space equals integral subscript 3 superscript 6 left parenthesis 6 straight x squared minus 4 straight x plus 4 right parenthesis italic times d x
  equals open square brackets 2 straight x cubed minus 2 straight x squared plus 4 straight x close square brackets subscript 3 superscript 6 equals 336 straight J

Some More Questions From Work, Energy and Power Chapter

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Define watt.

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What is the relation between kWh and Joule?

Does the body at rest possess energy?

By eating two apples, a person starts pushing the wall of room. If food value of apple is 100 calories per apple, how much work he will do in pushing the wall in one hour?

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Is frictional force conservative?

What is the work done by gravitational force in taking the mass m with constant velocity through height h?

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