A) 0.2\[kg\,m{{\sec }^{-1}}\]
B) \[-0.2kg\,m{{\sec }^{-1}}\]
C) \[0.1kg\,m{{\sec }^{-1}}\]
D) \[-0.4kg\,m{{\sec }^{-1}}\]
Correct Answer: B
Solution :
Velocity between \[t=0\] and \[t=2\sec \] Þ \[{{v}_{i}}=\frac{dx}{dt}=\frac{4}{2}=2\ m/s\] Velocity at t\[=2\sec \], \[{{v}_{f}}=0\] Impulse = Change in momentum \[=m({{v}_{f}}-{{v}_{i}})\] \[=0.1(0-2)\] \[=-0.2\ kg\ m\ {{\sec }^{-1}}\]
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