Question

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Answer 1

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↠ If particle has mass 2 kg and moving with speed √2 m/s at an angle 45° with x-axis then its momentum will be ?

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↠ Momentum is a measurement of mass in motion.

It is a scalar quantity which is product of mass of object and velocity.

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Mathematically,

$\boxed{\boxed{\bold{p=mv}}}$

Where,

p = Momentum

m = Mass of object

v = Velocity of object

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Let's Start !

Let's make Component of velocity in both directions.

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In x-direction,

$:\implies vcos\theta = \sqrt{2} \times \frac{1}{\sqrt{2}}\; m/s$

$:\implies vcos\theta = 1 \;m/s$

$:\implies Velocity\;in\;(x-direction) = 1 \;m/s$

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In y-direction

$:\implies vsin\theta = \sqrt{2} \times \frac{1}{\sqrt{2}}\; m/s$

$:\implies vsin\theta = 1 \;m/s$

$:\implies Velocity\;in\;(y-direction) = 1 \;m/s$

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Now Let's find momentum in both directions

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In x-direction,

$:\implies p_x = mv_x$

$:\implies p_x = 2\times 1$

$:\implies p_x = 2\; kg \;m/s$

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In y-direction,

$:\implies p_y = mv_y$

$:\implies p_y= 2\times 1$

$:\implies p_y = 2\; kg \;m/s$

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In combined form

∴ Momentum = (2î + 2j) kg m/s

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$\boxed{\boxed{\bold{Correct \;Answer = A]\; (2i+2j) \;kg\;m/s}}}$

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Hope this helps u.../

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