oxford cambridge and rsa a level further mathemati
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Ocr 2024
OXFORD CAMBRDGE
AND RSA 2024
[Type the document subtitle]
OCR 2024
2024
[Type the company address]
, Oxford Cambridge and RSA
Friday 7 June 2024 – AfternoonA Level
Further Mathematics B (MEI) Y431/01
Mechanics Minor
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
QP
(MEI)
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer Booklet. If
you need extra space, use the lined pages at the end of the Printed AnswerBooklet. The
question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might begiven
for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value isneeded
use g = 9.8 unless a different value is specified in the question.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 60.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
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1 A car of mass 1500 kg travels along a horizontal straight road. There are no resistances to the
car’smotion. The power developed by the car as it increases its speed from 20 m s -1 to 30 m s -1
over
t seconds is a constant 5000 W.
(a) Determine the value of t. [3]
(b) Find the acceleration of the car when its speed is 25 m s -1 . [2]
2 (a) State the dimensions of force. [1]
Use the following metric-imperial conversion factors for the rest of this question.
• 1 kg = 2.2 lb (pounds)
• 1 m = 39.4 in (inches)
A unit of force used in the imperial system is the pound-force (lbf). 1 lbf is defined as
thegravitational force exerted on 1 lb on the surface of the Earth.
(b) Show that 1 lbf is approximately equal to 4.45 N. [1]
The pascal (Pa) is a unit of pressure equivalent to 1 Newton per square metre. Pressure can also
bemeasured in pound-force per square inch (psi).
A diver, at a depth of 40 m, experiences a typical pressure of 5 # 105 Pa.
(c) Determine whether this is greater or less than the pressure in a bicycle tyre of 80 psi. [3]
In various physical contexts, energy density is the amount of energy stored in a given region
ofspace per unit volume.
(d) Show that energy density and pressure are dimensionally equivalent. [3]
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