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93. A particle of mass m moves in the potential shown here. The period of the motion when the particle has energy E is

The potential is V = 1/2kx^2 for x <0 and V= mgx for x > 0.

A. Sqrt[k/m]

B. 2*pi*Sqrt[m/k]

c

. 2*Sqrt[2E/(mg^2)]

D. pi*Sqrt[m/k] + 2*Sqrt[2*E/(m*g^2)]

E. 2*pi*Sqrt[m/k] + 4*Sqrt[2*E/(mg^2)]

The answer is D.