The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body from x = 1 m to x = 5 m will be ____ joules.

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x = 1 to 2 W 1 ​ = 10 × 1 = 10 J. x = 2 to 3 W 2 ​ = 5 × 1 = 5 J. x = 3 to 4 W 3 ​ = − 5 × 1 = − 5 J. x = 4 to 5 W 4 ​ = 2 1 ​ × 1 × 10 = 5 J. W = W 1 ​ + W 2 ​ + W 3 ​ + W 4 ​ = 10 + 5 − 5 + 5 = 15 J.

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