Question

A body of mass m slides down an incline and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down this incline, the velocity of the ring at the bottom would have been

• A. v
• B. $v\sqrt{2}$
• C. $\frac{v}{\sqrt{2}}$
• D. $\sqrt{\frac{2}{5}}$× v

Answer 1

Answer: (C)

$\frac{v}{\sqrt{2}}$

Answer 2

V _sliding = $\sqrt{2gh}$

V_rolling = $\sqrt{\frac{2gh}{1 + k^{2}/R^{2}}}$