| Exam Board | OCR MEI |
|---|---|
| Module | Paper 1 (Paper 1) |
| Year | 2018 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Newton's laws and connected particles |
| Type | Block on rough horizontal surface – accelerating (finding acceleration or applied force) |
| Difficulty | Easy -1.2 This is a straightforward two-part kinematics and Newton's second law problem requiring only standard SUVAT equations and F=ma. Part (i) uses v²=u²+2as with given values, and part (ii) applies F-R=ma. Both are routine textbook exercises with no problem-solving insight needed, making it easier than average. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03c Newton's second law: F=ma one dimension |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(v^2 = u^2 + 2as\) | M1 | Using suitable suvat equation(s) leading to value for \(a\) |
| \(1.2^2 = 2\times a\times 1.8\) | ||
| \(a = 0.4 \text{ ms}^{-2}\) | A1 [2] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(F - 19 = 2.8a\) | M1 | Using Newton's second law; all terms present |
| \(F = 20.12\) (20.1 N to 3sf) | A1 [2] | Allow 20 N FT their \(a\) |
## Question 4(i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $v^2 = u^2 + 2as$ | M1 | Using suitable suvat equation(s) leading to value for $a$ |
| $1.2^2 = 2\times a\times 1.8$ | | |
| $a = 0.4 \text{ ms}^{-2}$ | A1 [2] | |
## Question 4(ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $F - 19 = 2.8a$ | M1 | Using Newton's second law; all terms present |
| $F = 20.12$ (20.1 N to 3sf) | A1 [2] | Allow 20 N FT their $a$ |
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4 Rory pushes a box of mass 2.8 kg across a rough horizontal floor against a resistance of 19 N . Rory applies a constant horizontal force. The box accelerates from rest to $1.2 \mathrm {~ms} ^ { - 1 }$ as it travels 1.8 m .\\
(i) Calculate the acceleration of the box.\\
(ii) Find the magnitude of the force that Rory applies.
\hfill \mbox{\textit{OCR MEI Paper 1 2018 Q4 [4]}}