Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

A block is fastened to one end of a light inextensible string. The string is inclined at $60^\circ$ above the horizontal and pulls the block along a horizontal floor in a straight line with acceleration $0.5\,\text{m s}^{-2}$. The tension in the string is $8\,\text{N}$. The block starts moving with speed $0.3\,\text{m s}^{-1}$. During the first $5\,\text{s}$ of the motion, find
(i)[2]

the total distance covered

(ii)[2]

the work done by the string tension

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use of $s = ut + \frac{1}{2}at^2$ (or an equivalent constant acceleration formula) to determine distance

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