2. A sealed container contains a fixed volume of a monatomic ideal gas. If the gas temperature is increased by a factor of
two, what is the ratio of the final to the initial (a) pressure,
(b) average molecular kinetic energy, (c) root-mean-square
speed, and (d) internal energy.

The uniform slender bar rests on a smooth horizon- tal surface when a force f is applied normal to the bar at point a. point a is observed to have an initial acceleration aa of 20 m/s2, and the bar has a corre- sponding angular acceleration of 18 rad /s2. deter- mine the distance b.