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Byju's Answer

Standard XII

Physics

Calculating Friction Using Coeffcients

A uniform sol...

Question

A uniform solid sphere of radius $r$ is rolling on a smooth horizontal surface with velocity $V$ and angular velocity $ω$ (where $V = ω r)$ . The sphere collides with a sharp edge on the wall as shown in the figure. The coefficient of friction between the sphere and the edge $μ = 1 / 5$ . Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to :

V

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\frac{V}{5}

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\frac{3 V}{5}

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\frac{V}{6}

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Solution

The correct option is A $V$
Let the velocity of sphere after the collision be V'.
Using conservation of momentum, $m V + 0 = m V^{'} + 0$
$⟹ V^{'} = - V$ where -ve sign suggests that sphere will reverse its direction.

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The correct option is A VLet the velocity of sphere after the collision be V'.Using conservation of momentum, mV+0=mV′+0⟹V′=−V where -ve sign suggests that sphere will reverse its direction.

The correct option is A $V$
Let the velocity of sphere after the collision be V'.
Using conservation of momentum, $m V + 0 = m V^{'} + 0$
$⟹ V^{'} = - V$ where -ve sign suggests that sphere will reverse its direction.