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Q. A body of mass $1\, kg$ is projected from ground at an angle $30^{\circ}$ with horizontal on a level ground at a speed $50\, m / s$. The magnitude of change in momentum of the body during its flight is $\left(g=10\, m / s ^{2}\right.$ )

Motion in a Plane

Solution:

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$\Rightarrow $ The change in momentum $=-2 m u \sin \theta \hat{j}$
$|\Delta \vec{p}|=2 m u \sin \theta$
$=2 \times 1 \times 50 \times \sin 30^{\circ}$
$|\Delta \vec{p}|=50\, Kg ms ^{-1}$