Oxford Cambridge and RSA
Examinations GCE Further
Mathematics B MEIY421/01:
Mechanics major
A Level
Question paper with marking scheme
(merged)
, Oxford Cambridge and RSA
Wednesday 14 June 2023 – Afternoon
A Level Further Mathematics B (MEI)
Y421/01 Mechanics Major
Time allowed: 2 hours 15 minutes
* 9 9 6 9 4 8 3 1 5 7 *
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 Answer
Booklet. 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 be
given 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 is
needed 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 120.
• The marks for each question are shown in brackets [ ].
• This document has 12 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2023 [D/508/5593] OCR is an exempt Charity
DC (ST/SW) 329448/3 Turn over
, 2
Section A (26 marks)
1 A car of mass 800 kg moves in a straight line along a horizontal road.
There is a constant resistance to the motion of the car of magnitude 600 N.
When the car is travelling at a speed of 15 m s -1 the power developed by the car is 27 kW.
Determine the acceleration of the car when it is travelling at 15 m s -1 . [4]
2
6 m s–1 2 m s–1
0.5 kg 2 kg
A B
Two small uniform smooth spheres A and B have masses 0.5 kg and 2 kg respectively. The two
spheres are travelling in the same direction in the same straight line on a smooth horizontal
surface. Sphere A is moving towards B with speed 6 m s -1 and B is moving away from A with
speed 2 m s -1 (see diagram). Spheres A and B collide. After this collision A moves with speed
0.2 m s -1 .
Determine the possible speeds with which B moves after the collision. [4]
© OCR 2023 Y421/01 Jun23
, 3
3
O
i
0.75 m
-1
~ rad s P
The diagram shows a particle P, of mass 0.2 kg, which is attached by a light inextensible string of
length 0.75 m to a fixed point O.
Particle P moves with constant angular speed ~ rad s -1 in a horizontal circle with centre vertically
below O. The string is inclined at an angle i to the vertical.
The greatest tension that the string can withstand without breaking is 15 N.
(a) Find the greatest possible value of i, giving your answer to the nearest degree. [2]
(b) Determine the greatest possible value of ~. [3]
© OCR 2023 Y421/01 Jun23 Turn over
Examinations GCE Further
Mathematics B MEIY421/01:
Mechanics major
A Level
Question paper with marking scheme
(merged)
, Oxford Cambridge and RSA
Wednesday 14 June 2023 – Afternoon
A Level Further Mathematics B (MEI)
Y421/01 Mechanics Major
Time allowed: 2 hours 15 minutes
* 9 9 6 9 4 8 3 1 5 7 *
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 Answer
Booklet. 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 be
given 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 is
needed 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 120.
• The marks for each question are shown in brackets [ ].
• This document has 12 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2023 [D/508/5593] OCR is an exempt Charity
DC (ST/SW) 329448/3 Turn over
, 2
Section A (26 marks)
1 A car of mass 800 kg moves in a straight line along a horizontal road.
There is a constant resistance to the motion of the car of magnitude 600 N.
When the car is travelling at a speed of 15 m s -1 the power developed by the car is 27 kW.
Determine the acceleration of the car when it is travelling at 15 m s -1 . [4]
2
6 m s–1 2 m s–1
0.5 kg 2 kg
A B
Two small uniform smooth spheres A and B have masses 0.5 kg and 2 kg respectively. The two
spheres are travelling in the same direction in the same straight line on a smooth horizontal
surface. Sphere A is moving towards B with speed 6 m s -1 and B is moving away from A with
speed 2 m s -1 (see diagram). Spheres A and B collide. After this collision A moves with speed
0.2 m s -1 .
Determine the possible speeds with which B moves after the collision. [4]
© OCR 2023 Y421/01 Jun23
, 3
3
O
i
0.75 m
-1
~ rad s P
The diagram shows a particle P, of mass 0.2 kg, which is attached by a light inextensible string of
length 0.75 m to a fixed point O.
Particle P moves with constant angular speed ~ rad s -1 in a horizontal circle with centre vertically
below O. The string is inclined at an angle i to the vertical.
The greatest tension that the string can withstand without breaking is 15 N.
(a) Find the greatest possible value of i, giving your answer to the nearest degree. [2]
(b) Determine the greatest possible value of ~. [3]
© OCR 2023 Y421/01 Jun23 Turn over
