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Question

The magnitude of the force (in N) acting on a body varies with time t (in μs) as shown. AB,BC and CD are straight line segments. The magnitude of the total impule of the force on the body from t=4 μs to t=16 μs is

A
5×103 Ns
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B
5.8×103 Ns
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C
5.8×103 Ns
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D
5×103 Ns
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Solution

The correct option is A 5×103 Ns
We know that,
Impulse=(Area of force-time graph under the specified interval) in the interval of (4 μs to 16 μs).
Hence the total area in the region of (4 μs to 16 μs) is
=12(800+200)×2×106+12×800×10×106
=5×103 Ns
The correct option is (a)

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