A 5.0 kg block moves in a straight line on a horizontal frictionless surface und

Question

A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in the figure. The scale of the figure's vertical axis is set by Fs = 14.0 N. How much work is done by the force as the block moves from the origin tox = 8.0 m?

A 5.0 kg block moves in a straight line on a horizontal frictionless surface under the influence of a force that varies with position as shown in the figure. The scale of the figure's vertical axis is set by Fs = 14.0 N. How much work is done by the force as the block moves from the origin to x = 8.0 m?

Explanation / Answer

W = area under the curve ;

W = 2F + 0.5 * 2F - 0.5 * 2 * ( F / 2 )

W = 2*14.0 N + 0.5 * 2 *14.0 N - 0.5 * 2 * ( 14.0 N / 2 )

W = 35 N <---------ans

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