## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

(a) $T = 2.0~s$ (b) $T = 2.1~s$
(a) We can find the period on the earth as: $T = 2\pi~\sqrt{\frac{L}{g}}$ $T = 2\pi~\sqrt{\frac{1.0~m}{9.80~m/s^2}}$ $T = 2.0~s$ (b) The acceleration due to gravity on Venus is $g_v = 8.87~m/s^2$. We can find the period on Venus as: $T = 2\pi~\sqrt{\frac{L}{g_v}}$ $T = 2\pi~\sqrt{\frac{1.0~m}{8.87~m/s^2}}$ $T = 2.1~s$