A **hollow sphere** ($I = frac{2}{3}MR^2$) and a **solid sphere** of…

Question

A **hollow sphere** ($I = 	frac{2}{3}MR^2$) and a **solid sphere** of equal mass and radius roll without slipping with the same translational speed $v$. The ratio of their **total KE** (hollow : solid) is:

Accepted Answer

B. $25:21$

KE $= 	frac{1}{2}Mv^2(1 + I/MR^2)$. Hollow: $	frac{1}{2}Mv^2 \cdot 5/3$. Solid: $	frac{1}{2}Mv^2 \cdot 7/5$. Ratio $= (5/3)/(7/5) = 25/21$.

Answer

$5:3$

Answer

$1:1$

Answer

$3:2$

A **hollow sphere** ($I = \tfrac{2}{3}MR^2$) and a **solid sphere** of equal mass and radius roll without slipping with the same translational speed $v$. The ratio of their **total KE** (hollow : solid) is:

A hollow sphere ($I = \tfrac{2}{3}MR^2$) and a solid sphere of equal mass and radius roll without slipping with the same translational speed $v$. The ratio of their total KE (hollow : solid) is: