Consider a bowling ball of radius r that rolls without slipping inside a semispherical bowl of radius R, where R is greater than r. The bowling ball starts from rest at a point level with the rim of the bowl. Determine the speed v of the bowling ball when it reaches the bottom of the bowl, assuming no energy is lost to friction.

• A. $\sqrt{2 g(R-r)}$
• B. $\sqrt{\frac{10 g R}{7}}$
• C. $\sqrt{\frac{10 g(R-r)}{7}}$
• D. $\sqrt{g(R-r)}$

Answer: (C)