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Answer :
Final answer:
The period of the simple harmonic motion for a pendulum in an elevator can be calculated using the formula T = 2π√(L/g'), where g' is the effective gravity that combines the actual gravity and the elevator's upward acceleration.
Explanation:
The period of a simple pendulum can be found using the formula T = 2π√(L/g'), where T is the period, L is the length of the pendulum, and g' is the effective gravity. The effective gravity combines the actual gravity (g = 9.81 m/s²) and the elevator's upward acceleration. So, g' = g + acceleration of elevator = 9.81 m/s² + 5.00 m/s² = 14.81 m/s². Now, we will substitute L = 5.00 m and g' = 14.81 m/s² into the period equation: T = 2π√(5.00 m/14.81 m/s²). Therefore, the period of the simple harmonic motion for this pendulum in the elevator is calculated from these values.
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