Respuesta :
The period of a simple pendulum depends only on the length of the pendulum and the gravitational acceleration:
where L is the pendulum length and g the gravitational acceleration.
The problem says that Maya and the swing form a simple pendulum, so we can use this formula to calculate the period of Maya's motion, using the length of the swing (L=1.8 m):
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Answer:
Time period, T = 2.7 s
Explanation:
Given that,
Mass of Max, m₁ = 15 kg
Mass of Maya, m₂ = 12 kg
Length of the swing, l = 1.8 m
Time period of the simple pendulum is :
[tex]T=2\pi\sqrt{\dfrac{l}{g}}[/tex]
T is independent of the mass
So, [tex]T=2\pi\sqrt{\dfrac{1.8\ m}{9.8\ m/s^2}}[/tex]
T = 2.7 s
So, the time period of Maya's motion is 2.7 s