OCR MEI Paper 1 2018 June — Question 4 4 marks

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2018
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicNewton's laws and connected particles
TypeBlock on rough horizontal surface – accelerating (finding acceleration or applied force)
DifficultyEasy -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.
Spec3.02d Constant acceleration: SUVAT formulae3.03c Newton's second law: F=ma one dimension

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 .
  1. Calculate the acceleration of the box.
  2. Find the magnitude of the force that Rory applies.

Question 4(i):
AnswerMarks Guidance
AnswerMarks 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):
AnswerMarks Guidance
AnswerMarks 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 $a$ |

---
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]}}