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  • The projectile motion of a particle of mass 5g is shown in the figure. The initial velocity of particle is <img alt=

The projectile motion of a particle of mass 5g is shown in the figure. The initial velocity of particle is 5 \sqrt{2}ms^{-1} and the air resistance is assumed to be negilibile.The magnitude of the change in the momentum between points A and B is x \times 10^{-2} kg ms^{-1}. The value of x, to the nearest integer is _______
Option: 1 5
Option: 2 10
Option: 3 0
Option: 4 20

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\begin{aligned} &|\overrightarrow{ u }|=|\overrightarrow{ v }|\\\\ &\overrightarrow{ u }= u \cos 45 \hat{ i }+ u \sin 45 \hat{ j }\\\\ &\overrightarrow{ v }= v \cos 45 \hat{ i }- v \sin 45 \hat{ j }\\\\ &|\overrightarrow{\Delta P }|=| m (\overrightarrow{ v }-\overrightarrow{ u })|\\\\ &\Delta P =2 mu \sin 45^{\circ}\\\\ &=2 \times 5 \times 10^{-3} \times 5 \sqrt{2} \times \frac{1}{\sqrt{2}}\\\\ &=50 \times 10^{-3}\\\\ &=5 \times 10^{-2} \end{aligned}

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Deependra Verma

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