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

Energy, work and power — practice question

A small bead $Q$ is able to slide without friction along the smooth horizontal straight wire $AB$, which has length $3\,\text{m}$. As shown in the diagram, three horizontal forces with magnitudes $F\,\text{N}$, $10\,\text{N}$ and $20\,\text{N}$ act on the bead. The three forces have a resultant of magnitude $R\,\text{N}$, acting in the direction indicated in the diagram.
(i)[5]

Determine the values of $F$ and $R$.

(ii)[3]

The bead starts from rest at $A$. It then arrives at $B$ with speed $11.7\,\text{m s}^{-1}$. Find the mass of the bead.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: By resolving the forces into horizontal or vertical components

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