| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9795/2 (Pre-U Further Mathematics Paper 2) |
| Year | 2016 |
| Session | Specimen |
| Topic | Work done and energy |
| Type | Motion on rough inclined plane |
| Difficulty | Moderate -0.3 This is a straightforward energy conservation problem requiring a single application of the work-energy principle. Students must equate initial energy (KE + PE) minus work done against friction to final KE, then solve for F. While it involves multiple energy forms, it's a standard textbook exercise with no conceptual subtlety or multi-step reasoning beyond setting up one equation. |
| Spec | 6.02i Conservation of energy: mechanical energy principle |
NOT FOUND
(Question 7 in the mark scheme concerns a cyclist working at constant power of 75W with mass 90 kg — this matches question ID 40690, not 40687.)7 A child of mass 20 kg slides down a rough slope of length 16 m against a constant frictional force $F \mathrm {~N}$. Starting with an initial speed of $2 \mathrm {~ms} ^ { - 1 }$ at a point 8 m above the ground, she reaches the ground with a speed of $6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. Find the value of $F$.
\hfill \mbox{\textit{Pre-U Pre-U 9795/2 2016 Q7}}