A steel rod is initially at \( 20^\circ\mathrm{C} \) and has a length of \( 2\,\mathrm{m} \). It has a cross-sectional area of \( 0.001\,\mathrm{m^2} \) If it is heated to \( 120^\circ\mathrm{C} \), how large a force must be applied to its end to restore the original length? Use \( 12\times10^{-6}\mathrm{(C^\circ)^{- 1}} \).​

The period of a pendulum varies directly as the square root of the length of the pendulum and inversely as the square root of the acceleration due to gravity. find the period when the length is 144 cm and the acceleration due to gravity is 980 cm per second squared, if the period is 7pi seconds when the length is 289 cm and the acceleration due to gravity is 980 cm per second squared.