| Exam Board | OCR MEI |
|---|---|
| Module | Further Mechanics Major (Further Mechanics Major) |
| Year | 2021 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Hooke's law and elastic energy |
| Type | Elastic string equilibrium and statics |
| Difficulty | Moderate -0.8 Part (a) is a direct application of Hooke's law in equilibrium (T = λx/l, with T = mg), requiring only substitution of given values. Part (b) tests conceptual understanding that the elastic limit may be exceeded, but requires no calculation. This is a straightforward two-part question with minimal problem-solving demand, easier than average A-level mechanics. |
| Spec | 6.02g Hooke's law: T = k*x or T = lambda*x/l |
| Answer | Marks | Guidance |
|---|---|---|
| 3 | (a) | T = 4g |
| Answer | Marks |
|---|---|
| λ = 588(N) | B1 |
| Answer | Marks |
|---|---|
| [3] | 1.1 |
| Answer | Marks |
|---|---|
| 1.1 | Resolve vertically (possibly implied by |
| Answer | Marks | Guidance |
|---|---|---|
| 3 | (b) | e.g. spring stretched beyond its elastic limit |
| e.g. Hooke’s law no longer applies | B1 | |
| [1] | 2.2b | oe (any correct equivalent statement for |
Question 3:
3 | (a) | T = 4g
λ (0.02)
= 4g
0.3
λ = 588(N) | B1
M1
A1
[3] | 1.1
3.3
1.1 | Resolve vertically (possibly implied by
subsequent working)
Use of Hooke’s law with their 4g
cao oe e.g. 60g
3 | (b) | e.g. spring stretched beyond its elastic limit
e.g. Hooke’s law no longer applies | B1
[1] | 2.2b | oe (any correct equivalent statement for
why the extension of the spring may not
be 0.1 m)3 One end of a light elastic spring of natural length 0.3 m is attached to a fixed point. A mass of 4 kg is attached to the other end of the spring.
When the spring hangs vertically in equilibrium the extension of the spring is 0.02 m .
\begin{enumerate}[label=(\alph*)]
\item Determine the modulus of elasticity of the spring.
A student calculates that if the mass of 4 kg is removed and replaced with a mass of 20 kg the extension of the spring will be 0.1 m .
\item Suggest a reason why this extension may not be 0.1 m .
\end{enumerate}
\hfill \mbox{\textit{OCR MEI Further Mechanics Major 2021 Q3 [4]}}