# Question 10(a):

| Answer | Marks | Guidance |
|--------|-------|----------|
| The size/shape of the women are not taken into account | E1 [1] | Allow: women are modelled as point masses. Allow model only involves their mass/weight |

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# Question 10(b):

| Answer | Marks | Guidance |
|--------|-------|----------|
| The mass (weight) of the rope is negligible [compared to that of the women] | E1 [1] | Allow either mass or weight used. Allow "no weight" oe |

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# Question 10(c):

| Answer | Marks | Guidance |
|--------|-------|----------|
| Draw and label correct weights ($1500$ N upward, $65g$ N and $T$ at junction, $75g$ N downward) | B1 | Draw and label the correct weights |
| Draw and label the given tension and the tension in the second rope. No extra forces | B1 [2] | — |

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# Question 10(d):

| Answer | Marks | Guidance |
|--------|-------|----------|
| Total mass $140$ kg; $1500 - 65g - 75g = 140a$ | M1, A1 [2] | Attempt to form N2L equation with $(65+75)a$. Condone one missing force. All correct |

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# Question 10(e):

| Answer | Marks | Guidance |
|--------|-------|----------|
| $a = \frac{32}{35} = 0.914\ \text{m s}^{-2}$ | B1 [1] | cao. Allow from the solution of two separate equations |

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# Question 10(f):

| Answer | Marks | Guidance |
|--------|-------|----------|
| N2L for rescued woman: $T - 75g = 75 \times \frac{32}{35}$ | M1 | Attempt to form an equation for the rescued woman (mass 75 kg). Equation must include $T$ |
| Correct equation FT their $a$ | A1 | — |
| $T = \frac{5625}{7} = 804$ N | A1 [3] | Correct value for $T$. Allow for 800 N from a correct equation |
| **Alternative:** N2L for rescue worker: $1500 - 65g - T = 65 \times \frac{32}{35}$; $T = \frac{5625}{7} = 804$ N | M1, A1, A1 | Attempt to form equation for rescue worker (mass 65 kg). Equation must include $T$ |