A ring of mass M and radius R slides with speed v₀ and suddenly enters a rough horizontal surface with coefficient of friction µ, as shown.

Select all that apply

• Option A

  The linear distance moved by the centre of mass before the ring starts rolling is 3v₀²/(8µg).

• Option B

  The net work done by friction is -3mv₀²/8.

• Option C

  The loss in kinetic energy of the ring is mv₀²/4.

• Option D

  The gain in rotational kinetic energy is mv₀²/8.