Standard +0.3 This is a straightforward application of the work-energy formula W = ∫F dx with a simple exponential function. Students need only recall that work = ∫T de from 0.2 to 0.4, giving ∫20e de = 10e² evaluated at the limits, yielding 10(0.16 - 0.04) = 1.2J. The integration is elementary and the answer is multiple choice, making this easier than average despite being a Further Maths mechanics question.
2 The tension, \(T\) newtons, in a spring is given by \(T = 20 e\), where \(e\) metres is the extension of the spring.
Calculate the work done when the extension is increased from 0.2 metres to 0.4 metres.
Circle your answer. [0pt]
[1 mark]
0.4 J 0.9 J 1.2 J 1.6 J
2 The tension, $T$ newtons, in a spring is given by $T = 20 e$, where $e$ metres is the extension of the spring.
Calculate the work done when the extension is increased from 0.2 metres to 0.4 metres.
Circle your answer.\\[0pt]
[1 mark]\\
0.4 J 0.9 J 1.2 J 1.6 J
\hfill \mbox{\textit{AQA Further Paper 3 Mechanics 2020 Q2 [1]}}