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

Energy, work and power — practice question

A block is attached to one end of a light inextensible string. The string is inclined at an angle of $\theta^\circ$ to the horizontal. The tension in the string is $20\,\text{N}$. The string moves the block across a horizontal surface at a steady speed of $1.5\,\text{m s}^{-1}$ for $12\,\text{s}$. The work done by the tension in the string is $50\,\text{J}$.
(main)[3]

Find the value of $\theta$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $WD = Fd \cos \theta$ with $WD = 20 \cos \theta \times 1.5 \times 12$

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