Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform solid cone has a weight of $5\,\text{N}$ and a base radius measuring $0.1\,\text{m}$. $AB$ is a diameter of the cone’s base. The cone is in equilibrium, with $A$ touching a rough horizontal surface and $AB$ vertical, while a force is applied at $B$. The force is $3\,\text{N}$ in magnitude and acts parallel to the cone’s axis (see diagram).
(main)[3]
Calculate the height of the cone.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “States that conservation of momentum applies at $\frac{h}{4}$” …