A sphere rolls down in an inclined plane without slipping. The percentage of translational energy in its total energy is

A sphere rolls down in an inclined plane without slipping. The percent

1.	A sphere rolls down in an inclined plane without slipping. The percentage of translational energy in its total energy is
Answer» `29.6%` `33.4%` `71.4%` `50%` SOLUTION :ROTATIONAL `K.E .E_("rot")=(1)/(2) omega^(2)=(1)/(2)((2)/(5)MR^(2)) omega^(2)=(1)/(5)MR^(2) omega^(2)` Translational K.E `(E_("TRANS"))=(1)/(2)Mv^(2)=(1)/(2)MR^(2)omega^(2)` `E_("rot")=E_("rot")+E_("trans") =(1)/(5) MR^(2)+(1)/(2) MR^(2) omega^(2)=(7)/(10) MR^(2) omega^(2)` `%"of" E_("trans")=(E_("trans"))/(E_("Tot"))xx100%=(5)/(7)%=71.4%`