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Q.

A body of mass 2 kg has an initial speed 5 ms1 . A force acts on it for some time in the direction of motion. The force – time graph is shown in figure. Find the final speed of the body.
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a

14.15m/s

b

13.31 m/s

c

14.3125m/s

d

16.4m/s

answer is C.

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Detailed Solution

Area of OAF= 12×2×4=4
Area  of ABG F =2×4=8
Area of BGHC =  12(4+2.5)×0.5=1.625
Area of CDEH =  2×2.5=5
Total area under F-t graph = change in momentum 
 m(vu)=18.625
 v=18.6252+5=14.3125  m/sec

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