Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

The force-time (F – t) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in the time interval from zero to 8 seconds will be:

– 2 N s

4 N s

6 N s

Zero

Step-by-Step Solution

Concept: According to Newton's Second Law, the force is the rate of change of momentum ( $F = dp/dt$ ). The change in momentum (Impulse) over a time interval is the integral of force with respect to time: $\Delta p = \int F dt$ [Source 62, 63].
Graphical Interpretation: In a Force-time ( $F-t$ ) graph, this integral corresponds to the area under the curve. Area above the time axis represents positive impulse (increase in momentum), and area below represents negative impulse (decrease in momentum).
Calculation: The momentum acquired is the net area under the curve from $t=0$ to $t=8$ s. For the answer to be 'Zero', the graph must have equal positive and negative areas, resulting in a net impulse of zero [Source 73, 74].

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