Final answer:
The period of a simple pendulum with a length of 0.14 m and mass of 0.49 kg near the surface of a planet with gravitational acceleration of 11.9 m/s² is approximately 0.6826 seconds.
Step-by-step explanation:
The period of a simple pendulum can be calculated using the formula:
T = 2π√(L/g)
Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
Using the given values, we can calculate the period:
T = 2π√(0.14 / 11.9)
T ≈ 2π√(0.0118)
T ≈ 2π * 0.1086
T ≈ 0.6826 s
Therefore, the period of the simple pendulum is approximately 0.6826 seconds.