■解答
(ア) \(MV\) (イ) \(\displaystyle\frac{1}{2}mv'^2+\frac{1}{2}MV^2\) (ウ) \(\displaystyle\frac{M+m}{2m}V\)
(エ) \(\displaystyle\frac{M-m}{2m}V\) (オ) \(M>m\) (カ) \(\displaystyle\frac{M-m}{2m}\sqrt{\frac{2R}{g}}V\)
(キ) \(\sqrt{2gR}\) (ク) \(M=3m\)
(ケ) \(\sqrt{gR\cos\theta}\) (コ) \(\sqrt{gR(2+3\cos\theta)}\) (サ) \(\displaystyle\frac{1}{2}\sqrt{\frac{gR}{2}}\)
(シ) \(\displaystyle\frac{3}{2}\sqrt{\frac{3gR}{2}}\) (ス) \(\displaystyle\frac{V_1}{g}(V_2+\sqrt{V_2^2+2gR})\)
■解説