# Question 7:

## Part 7a:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $4mg - T = 4ma$ | M1A1 | M1 resolving vertically for $B+C$; A1 correct equation |
| $T - 3mg = 3ma$ | M1A1 | M1 resolving vertically for $A$; A1 correct equation |
| Reach given answer $a = \dfrac{g}{7}$ correctly | A1 | Given answer; note $1.4$ scores A0 |
| $T = 3mg + 3\!\left(mg - \dfrac{T}{4}\right)$, or $T = 3mg + 3m\dfrac{g}{7}$, or $T = 4mg - 4m\dfrac{g}{7}$ | M1 | Form equation in $T$ only |
| $T = \dfrac{24}{7}mg$ or equivalent, $33.6m$, $34m$ | A1 | |

## Part 7b:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $v^2 = u^2 + 2as = 2 \times \dfrac{g}{7} \times 0.7 = 1.96$, $v = 1.4$ ms$^{-1}$ | M1A1 | M1 equation in $v$ only; A1 for 1.4 ms$^{-1}$, allow $\sqrt{g/5}$ oe |

## Part 7c:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $3mg - T = 3ma$ | M1A1 | M1 resolving for $A$ or $B$; M0 if tension from part (a) used; A1 correct equation for $A$ |
| $T - 2mg = 2ma$ | A1 | Correct equation for $B$ |
| $a = \dfrac{g}{5}$ | A1 | Allow $g/5$ or 1.96 or 2.0 ms$^{-2}$; allow negative answer |

## Part 7d:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $0 = 1.96 - 2 \times \dfrac{g}{5} \times s$ | M1 | Equation in $s$ only using their $v$ from (b) and $a$ from (c) |
| $s = \dfrac{5 \times 1.96}{2g} = 0.5$ m | A1 | $s = 0.5$ m correctly obtained |
| Total height $= 0.7 + 0.5 = 1.2$ m | A1 ft | ft on their $0.5 + 0.7$ |

**Alternative (energy):**
| Answer/Working | Marks | Guidance |
|---|---|---|
| $3mgs - 2mgs = \dfrac{1}{2}3m(1.4)^2 + \dfrac{1}{2}2m(1.4)^2$ | M1 | Equation in $s$ only, correct number of terms, using their $v$ from (b) |
| $s = \dfrac{2.5 \times 1.96^2}{g} = 0.5$ m | A1 | Correctly obtained |
| Total height $= 0.7 + 0.5 = 1.2$ m | A1 ft | |

The images you've shared appear to be blank or nearly blank pages — they only show "PMT" watermarks in the corners and a Pearson Education Limited copyright notice at the bottom of the second page. There is no mark scheme content visible on these pages to extract.

Could you please share the actual mark scheme pages that contain the questions, answers, and mark allocations? I'd be happy to format those for you once I can see the content.