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A body moves on x-axis under the action of a force varying as shown in the graph. the work done on the body in moving from a to b is

A body moves on x-axis under the action of a force varying as shown in the graph. the work done on the body in moving from a to b is

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Grade:11

1 Answers

Devang
52 Points
5 years ago
       for Graph of  F \rightarrow x , area covered by graph on X – axis  is called WORK.
 
          in this question,
                  area covered by AP =  area of  rectangle = 10 * 1 =10 unit2
                  area covered by PQ =  area of trapizum  = ½ * 1(10+15) = 12.5 unit2
                  area covered by QR = area of triangle     = ½ * 1 * 15      = 7.5 unit2
                  area covered by RB = area of triangle     = ½ * 1 * 15      = 7.5  unit2
 
net work done on body in moving from A to B    =  AP + PQ + QR -RB
                                                                            =   10  + 12.5 + 7.5 -7.5
                                                         net work     =    22.5 joule

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