Sphere (1) moving with velocity $4$ m/s collides another sphere (2) at rest. Find final velocity of sphere (1) after collision. [ collision perfectly elastic ]

2^i + \sqrt{3}^j

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2^i - \sqrt{3}^j

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^i + \sqrt{3}^j

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^i - \sqrt{3}^j

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Solution

The correct option is C $^i + \sqrt{3}^j$
Sphere (1) will exchange its velocity in direction (l) since both spheres are identical.
So, final velocity
$V_{f} = 4 sin 30 = 2 m / s$

${\to V}_{f} = 2 cos 60 ↑ + 2 sin 60^j$

$=^i + \sqrt{3}^j$

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Sphere (1) moving with velocity 4 m/s collides another sphere (2) at rest. Find final velocity of sphere (1) after collision. [ collision perfectly elastic ]

The correct option is C ^i+√3^jSphere (1) will exchange its velocity in direction (l) since both spheres are identical.So, final velocityVf=4sin30=2m/s→Vf=2cos60↑+2sin60^j=^i+√3^j

Sphere (1) moving with velocity $4$ m/s collides another sphere (2) at rest. Find final velocity of sphere (1) after collision. [ collision perfectly elastic ]

The correct option is C $^i + \sqrt{3}^j$
Sphere (1) will exchange its velocity in direction (l) since both spheres are identical.
So, final velocity
$V_{f} = 4 sin 30 = 2 m / s$

${\to V}_{f} = 2 cos 60 ↑ + 2 sin 60^j$

$=^i + \sqrt{3}^j$