Work, Power and EnergyHard

Question

Potential energy (sinusoidal curve) is shown graphically for a particle. The potential energy does not depend on y and z coordinates. The maximum value of conservative force (in magnitude) for range 0 < x < 2 is (βπ). Find value of β [Here this force is corresponding to above potential energy and all units are in S.I.]
           

Options

A.3
B.6
C.4
D.8

Solution

From the graph U = 3 sinπx + 3
∴ F = - = - 3πcos πx
∴ Fmax = 3π

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