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Work Done by a Conservative Force

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An object with a mass of 2 kg is displaced from an initial position of (0, 0, 0) m to a final position of (0, 0, 10) m in a uniform gravitational field. The positive z-axis is directed vertically upward, and the acceleration due to gravity is g = 9.8 m/s². Which of the following statements correctly describes the work W done by the gravitational force on the object?

A

W depends on the specific path taken

B

W = -196 J regardless of the path taken

C

W = 0 J because gravity is perpendicular to displacement

D

W = 196 J for all possible paths

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