- Information
- AI Chat
October 2022 QP - A level WME01 Mechanics
Further Mathematics
Recommended for you
Preview text
Centre Number Candidate Number
P72151A0132
Turn over
Total Marks
Candidate surname Other names
Please check the examination details below before entering your candidate information
Paper reference
P72151A
©2022 Pearson Education Ltd. B:1/1/1/
Candidates may use any calculator permitted by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them.
Instructions
• Use black ink or ball-point pen.
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxescentre number and candidate number. at the top of this page with your name,
• Answerclearly labelled. all questions and ensure that your answers to parts of questions are
• Answer the questions in the spaces provided– there may be more space than you need.
• You should show sufficient working to make your methods clear without working may not gain full credit.
• Whenever a numerical value ofanswer to either 2 significant figures or 3 significant figures. g is required, take g = 9 m s –2 , and give your
Information
• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 8 questions in this question paper. The total mark for this paper is 75.
• The marks for– use this as a guide as to how much time to spend on each question each question are shown in brackets.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question.
• Check your answers if you have time at the end.
• If you change your mind about an answer, cross it out and put your newanswer and any working underneath.
You must have: Mathematical Formulae and Statistical Tables (Yellow), calculator
Mathematics
International Advanced Subsidiary/Advanced Level
Mechanics M
Time 1 hour 30 minutes WME01/
Pearson Edexcel International Advanced Level
P72151A0232
2
Leave blank
- A railway truck S of mass 20 tonnes is moving along a straight horizontal track when it collides with another railway truck T of mass 30 tonnes which is at rest. Immediately before the collision the speed of S is 4 m s– As a result of the collision, the two railway trucks join together. Find (a) the common speed of the railway trucks immediately after the collision, (2) (b) the magnitude of the impulse exerted on S in the collision, stating the units of your answer. (3)
P72151A0432
4
Leave blank 2.
A C D B
2 a
2
5 a
3
5 a
Figure 1 A uniform rod AB has length 2a and mass M. The rod is held in equilibrium in a horizontal position by two vertical light strings which are attached to the rod at C and D, where AC = 25 a and DB = 35 a, as shown in Figure 1.
A particle P is placed on the rod at B. The rod remains horizontal and in equilibrium. (a) Find, in terms of M, the largest possible mass of the particle P (3) Given that the mass of P is 12 M
(b) find, in terms of M and g, the tension in the string that is attached to the rod at C. (3)
P72151A0532 Turn over
5
Leave blank Question 2 continued
P72151A0732 Turn over
7
Leave blank Question 2 continued
___________________________________________________________________________ Q (Total 6 marks)
P72151A0832
8
Leave blank 3.
P
α
X N
Figure 2 A rough plane is inclined to the horizontal at an angle α, where tan α = 34
A particle P of mass 2 kg is held in equilibrium on the plane by a horizontal force of magnitude X newtons, as shown in Figure 2. The force acts in a vertical plane which contains a line of greatest slope of the inclined plane. (a) Show that when X = 14 there is no frictional force acting on P (3) The coefficient of friction between P and the plane is 0. (b) Find the smallest possible value of X. (8)
P72151A01032
10
Leave blank Question 3 continued
P72151A01132 Turn over
11
Leave blank Question 3 continued
___________________________________________________________________________ Q (Total 11 marks)
P72151A01332 Turn over
13
Leave blank Question 4 continued
P72151A01432
14
Leave blank Question 4 continued
P72151A01632
16
Leave blank 5. A small ball is projected vertically upwards with speed 29 m s –1 from a point A which is 19 m above horizontal ground. The ball is modelled as a particle moving freely under gravity until it hits the ground. It is assumed that the ball does not rebound. (a) Find the distance travelled by the ball while its speed is less than 14 m s – (3) (b) Find the time for which the ball is moving with a speed of more than 29 m s – (3) (c) Sketch a speed-time graph for the motion of the ball from the instant when it is projected from A to the instant when it hits the ground. Show clearly where your graph meets the axes. (3)
P72151A01732 Turn over
17
Leave blank Question 5 continued
P72151A01932 Turn over
19
Leave blank Question 5 continued
___________________________________________________________________________ Q (Total 9 marks)
P72151A02032
20
Leave blank 6. [In this question, i and j are horizontal unit vectors.] A particle A of mass 0 kg is at rest on a smooth horizontal plane. At time t = 0, two forces, F 1 = (–3i + 2j) N and F 2 = (pi + qj) N, where p and q are constants, are applied to A. Given that A moves in the direction of the vector (i – 2j), (a) show that 2p + q – 4 = 0 (4) Given that p = 5 (b) find the speed of A at time t = 4 seconds. (5)
October 2022 QP - A level WME01 Mechanics
Subject: Further Mathematics
- Discover more from:
