Work Done by a Variable Force using Integration

00:00 4 marks

A variable force is given by the function \(F(x) = 5x^2\) (in Newtons), where \(x\) is in meters. Calculate the work done when the force is applied from \(x = 0\) m to \(x = 2\) m.

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Hint

Remember that work done by a variable force is given by the integral of the force with respect to displacement, \(W=\int_{a}^{b} F(x)\,dx\).

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\(\frac{40}{3}\) Joules

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Work Done by a Variable Force using Integration

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Work Done by a Variable Force using Integration

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