Exam (elaborations)
Edexcel GCE Mechanics - M2 Silver Level S4
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PMTPaper Reference(s)
6678/01
Edexcel GCE
Mechanics M2
Silver Level S4
Time: 1 hour 30 minutes
Materials required for examination Items included with question papers
Mathematical Formulae (Green) Nil
Candidates may use any calculator allowed by the regulations of the Joint
Council for Qualifications. Calculators must not have the facility for symbolic
algebra manipulation, differentiation and integration, or have retrievable
mathematical formulas stored in them.
Instructions to Candidates
In the boxes on the answer book, write the name of the examining body (Edexcel), your
centre number, candidate number, the unit title (Mechanics M2), the paper reference (6678),
your surname, other name and signature.
Whenever a numerical value of g is required, take g = 9.8 m s−2.
When a calculator is used, the answer should be given to an appropriate degree of accuracy.
Information for Candidates
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
Full marks may be obtained for answers to ALL questions.
There are 7 questions in this question paper. The total mark for this paper is 75.
Advice to Candidates
You must ensure that your answers to parts of questions are clearly labelled.
You must show sufficient working to make your methods clear to the Examiner. Answers
without working may gain no credit.
Suggested grade boundaries for this paper:
A* A B C D E
62 54 46 38 30 23
Silver 4 This publication may only be reproduced in accordance with Edexcel Limited copyright policy.
2007–2013 Edexcel Limited.
, PMT
1. A particle P moves along the x-axis. At time t seconds the velocity of P is v m s–1 in the
positive x-direction, where v = 3t2 – 4t + 3. When t = 0, P is at the origin O. Find the distance
of P from O when P is moving with minimum velocity.
(8)
2. A particle P of mass m is moving in a straight line on a smooth horizontal surface with
speed 4u. The particle P collides directly with a particle Q of mass 3m which is at rest on the
surface. The coefficient of restitution between P and Q is e. The direction of motion of P is
reversed by the collision.
Show that e > .
(8)
3.
Figure 1
A package of mass 3.5 kg is sliding down a ramp. The package is modelled as a particle and
the ramp as a rough plane inclined at an angle of 20° to the horizontal. The package slides
down a line of greatest slope of the plane from a point A to a point B, where AB = 14 m. At A
the package has speed 12 m s–1 and at B the package has speed 8 m s–1, as shown in Figure 1.
Find
(a) the total energy lost by the package in travelling from A to B,
(5)
(b) the coefficient of friction between the package and the ramp.
(5)
Silver 4: 8/12 2
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