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The force ‘F acting on a particle of mass ‘ $\mathbf{m}$ ‘ is indicated by the force – time graph shown below. The change in momentum of the particle over the time Interval from zero to $8 \mathrm{~s}$ Is:
The force ‘F acting on a particle of mass ‘ $\mathbf{m}$ ‘ is indicated by the force – time graph shown below. The change in momentum of the particle over the time Interval from zero to $8 \mathrm{~s}$ Is:
Physics
The force ‘F acting on a particle of mass ‘ $\mathbf{m}$ ‘ is indicated by the force – time graph shown below. The change in momentum of the particle over the time Interval from zero to $8 \mathrm{~s}$ Is:

Option A $\quad 24 \mathrm{~N} \mathrm{~s}$

Option B $\quad 20 \mathrm{~N} \mathrm{~s}$

Option C $\quad 12 \mathrm{~N} \mathrm{~s}$

Option D $\quad 6 \mathrm{~N} \mathrm{~s}$

Solution:

The correct option is C

Change in momentum is given as $\Delta \mathrm{p}$

$\Delta \mathrm{p}=$ Area of $\mathrm{F}-\mathrm{t}$ graph

$=\frac{1}{2} \times 2 \times 6-3 \times 2+4 \times 3$

$=12 \mathrm{~N}-\mathrm{s}$

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