An astronaut on a high-gravity planet where the local gravitational acceleration is gP=16.2 m s−2g_P = 16.2 \text{ m s}^{-2}gP=16.2 m s−2 calibrates a simple pendulum and a mass-spring system so that they both oscillate with the exact same period TTT.
Both systems are then transported to a lunar base, where the local gravitational acceleration is gL=1.8 m s−2g_L = 1.8 \text{ m s}^{-2}gL=1.8 m s−2.
Determine the new period of oscillation for each system on the lunar base in terms of TTT. Explain your reasoning clearly.
