A small block of mass \( m \) slides on a frictionless horizontal table. It is constrained to mo...

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A small block of mass \( m \) slides on a frictionless horizontal table. It is constrained to move inside a ring of radius \( l \) which is fixed to the table.
\( \mathrm{P} \) At \( t=0 \), the block has a tangential velocity \( v_{0} \). The coefficient of friction between the block and the ring is \( \mu \). The velocity of the block at time \( t \) is
(1) \( \frac{v_{0}}{1+\frac{\mu v_{0} t}{l}} \)
(2) \( \frac{v_{0}}{1+\frac{2 \mu v_{0} t}{l}} \)
(3) \( \frac{v_{0}}{1-\left(\frac{\mu v_{0} t}{l}\right)} \)
(4) \( \frac{v_{0}}{\left(\frac{\mu v_{0} t}{l}\right)} \)
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