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Motion in a Plane

Section: Physics

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Question : 19 of 94

Marks: +1, -0

An object of mass '

m

' is projected from origin in a vertical

x y

plane at an angle

45^{\circ}

x

- axis with an initial velocity

v_0

. The magnitude and direction of the angular momentum of the object with respect to origin, when it reaches at the maximum height, will be [

g

is acceleration due to gravity]

[24 Jan 2025 Shift 1]

$\;\frac{m v_0^3}{4 \sqrt{2} g}$ along positive $z$ -axis
$\;\frac{m v_0^3}{2 \sqrt{2} g}$ along negative $z$ -axis
$\;\frac{m v_0^3}{2 \sqrt{2} g}$ along positive $z$ -axis
$\;\frac{m v_0^3}{4 \sqrt{2} g}$ along negative $z$ -axis

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