A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of

Question

A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed ?

TestHub · Accepted Answer

From the figure, A = 2 m 1 2 m ω 2 A 2 = 10 1 2 m ω 2 ( 2 ) 2 = 10 m ω 2 = 5 5 ω 2 = 5 ω 2 = 1 ω = 1 T = 2 π ω = 2 π 2 π ℓ g p = 2 π 2 π 4 g p = 2 π g p = 4 m / s 2

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