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Question
A force-time graph for a linear motion is shown in the figure where the segments are circular. The linear momentum gained between zero and 8 second is :
A force-time graph for a linear motion is shown in the figure where the segments are circular. The linear momentum gained between zero and 8 second is :
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Solution
The correct option is A 0 Newton seconds
Area of F-t graph is the change in momentum.
Let's divide the graph into 3 parts viz.,
1) 0 < t < 2
2) 2 < t < 6
3) 6 < t < 8
In part 1, 2, and 3, the areas are −Π,2Π,−Π
So, Totalmomentumchange=−Π+2Π+−Π=0
Area of F-t graph is the change in momentum.
Let's divide the graph into 3 parts viz.,
1) 0 < t < 2
2) 2 < t < 6
3) 6 < t < 8
In part 1, 2, and 3, the areas are −Π,2Π,−Π
So, Totalmomentumchange=−Π+2Π+−Π=0
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