A body of mass 2kg has an initial speed of 5m/s. A force acts on it for some time in the direction of motion. The force-time graph is shown in the figure. The final speed of the body is
A
9.25m/s
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B
5m/s
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C
14.25m/s
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D
4.25m/s
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Solution
The correct option is C14.25m/s According to Newton’s second law, force is equal to rate of change of momentum.
F=mv−mut mv−mu=F×t
which is given by the area under the F−t graph.
Area under the graph =12×(2×4)+(2×4)+12×((4+2.5)×0.5)+(2×2.5)