COMEDK · Physics · 5. Laws of Motion
A body initially at rest undergoes rectilinear motion. The forcetime (F-t) graph for the motion of the body is given below. Find the linear momentum gained by the body in \(2 \mathrm{~s}\).
- A \(\pi N-s\)
- B \(\dfrac{\pi}{4} N-s\)
- C \(2 \pi N-s\)
- D \(\dfrac{\pi}{2} \mathrm{~N}-\mathrm{s}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{\pi}{2} \mathrm{~N}-\mathrm{s}\)
Step-by-step Solution
Detailed explanation
The impulse \(J\) delivered to a body is equal to the change in its linear momentum \(\Delta p\). The impulse is given by the area under the force-time (\(F-t\)) graph. For the interval \(t = 0\) to \(t = 2\) s, the graph represents a semi-circle below the time axis with radius…
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