Grade 11IIT JEE Entrance Exam

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

Sudhanva G V

7 Years agoGrade 11

7 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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