Edexcel M2 — Question 2 5 marks

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicWork done and energy
TypeWork done against friction/resistance - inclined plane or slope
DifficultyModerate -0.3 This is a straightforward mechanics problem requiring application of energy methods or equations of motion with resistance. Students must identify forces, apply SUVAT or work-energy principles, and solve a single equation. While it involves resistance (making it slightly less routine than basic projectile motion), the setup is clear and the solution method is standard for M2, requiring no novel insight.
Spec6.02i Conservation of energy: mechanical energy principle6.06a Variable force: dv/dt or v*dv/dx methods

A stone, of mass 0.9 kg, is projected vertically upwards with speed 10 ms\(^{-1}\) in a medium which exerts a constant resistance to motion. It comes to rest after rising a distance of 3.75 m. Find the magnitude of the non-gravitational resisting force acting on the stone. [5 marks]

AnswerMarks
\(0 = 10^2 + 2a(37.5)\)M1 A1
\(a = -13.3 \text{ ms}^{-2}\)
Resisting force \(= 0.9(13.3 - 9.8) = 3.18 \text{ N}\)M1 A1 A1
Total: 5 marks
$0 = 10^2 + 2a(37.5)$ | M1 A1 |
$a = -13.3 \text{ ms}^{-2}$ | |

Resisting force $= 0.9(13.3 - 9.8) = 3.18 \text{ N}$ | M1 A1 A1 |
**Total: 5 marks**

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A stone, of mass 0.9 kg, is projected vertically upwards with speed 10 ms$^{-1}$ in a medium which exerts a constant resistance to motion. It comes to rest after rising a distance of 3.75 m.

Find the magnitude of the non-gravitational resisting force acting on the stone. [5 marks]

\hfill \mbox{\textit{Edexcel M2  Q2 [5]}}