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? (1) $4 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ (2) $8 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ (3) $5 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ (4) $10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$
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?\\
(1) $4 \mathrm {~m} \mathrm {~s} ^ { - 2 }$\\
(2) $8 \mathrm {~m} \mathrm {~s} ^ { - 2 }$\\
(3) $5 \mathrm {~m} \mathrm {~s} ^ { - 2 }$\\
(4) $10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$