Edexcel GCE Mechanics M2 (6678) - Alevelorg

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GCEEdexcel GCEMechanics M2 (6678)Summer 2005Mechanics M2 (6678)Edexcel GCEMark Scheme (Results)

June 20056678 Mechanics M2Mark SchemeQuestionNumberScheme1 (a)Driving force MarksPvB121000 600 v 35 m s–1vM1 A1(3)P1 600 1200.g.v14(b)M1 A1( 1440 N)2100021000 1440 v 14.6 or 15 m s–1v1440M1 A1(4)2 (a)B4xC5A4(x 3)DM(AB): 7 3.5 5 5.5 4 2 20 x 20 x 24.5 27.5 8 60 x 3 cmM1 A2,1,0depM1 A1(5)(b)X3.5kMM(XY):M (3.5 3) kM 3.5 k 17 .MM1 A1 A1(3)Y6678 MechanicsJune 2005 Advanced Subsidiary/Advanced Level in GCE Mathematics

v (18 – 12t2)i 2ctj3 (a)t 32M1 A1 A1: v –9i 3cjM1 v 15 92 (3c)2 152M1 (3c)2 144 c 4A1(6)(b)t 32 :a – 24ti 8jM1a –36i 8jM1A1 (3)4 (a) 12.6t x12.60.1B10.1 4.9 t2xB1x2 0 .1 4 .9 12.6 2M1 x 1.8 mA1(4)(b) u cos α .t 2.5u u sin α .t )α12gt2M1 A1M1 A12.524t 2.52572.5.25u. 4.9.2524u4.9 2.5 25 22u 7 24 u 6.75 or 6.8 m s–1u.M1 A1(6)6678 MechanicsJune 2005 Advanced Subsidiary/Advanced Level in GCE Mathematics

5 (a)2u2u3m2mv2u6mu 4mu 3mv 4mu v 23 u2u v e.4u 4eu 83 u e 23 .CLM:NLI:M1 A1A1M1 A1M1 A1(7)(b)2u02m5mxy5my 2mx 4muy x 53 .2u 65 uM1 A1A1x 72 uSolve:2u7M1 A1〈 23 u so B does not overtake AM1So no more collisionsA1 cso(7)6 (a)YX0.5PM(A):P 0.5 sin 60 30 g 1.5M1 A2P 90 g.A130g 1020 N (1000N)(4)M1 A1X P cos 60 P (b)2312( 509 N (510N) )Y P cos 30 30 g M1 A1( Y –588 N)resultant ( X Y ) (509 2 588 2 ) 778 N2M1 A12or 780N(6)(c) In equilibrium all forces act through a pointM1P and weight meet at mid-point;hence reaction also acts through mid-point so reaction horizontal A1 cso(2)OR M(mid-point): Y x 1.5 0 Y 0Hence reaction is horizontal6678 MechanicsJune 2005 Advanced Subsidiary/Advanced Level in GCE MathematicsM1A1

7 (a) PE lost 3 g 8 sin 30 3 g 8 0.5 117.6 J 118Jor 120J(b)KE gained Work-energy:(c)12M1 A1(2) 3 5 2 37.5 JF 8 117.6 37.5 80.1 F 10.0125 10 NM1 A1M1 A1 A1 (5)R 3g cos 30 ( 25.46 N)10 0.393 or 0.39F µR µ 25.46B1M1 A1(3)(d)Work done by friction 80.1 as beforeWork-energy: 12 3 v 2 12 3 2 2 117.6 80.1 v 5.39 or 5.4 m s–16678 MechanicsJune 2005 Advanced Subsidiary/Advanced Level in GCE MathematicsM1M1 A2,1,0 A1(5)

6678 MechanicsJune 2005 Advanced Subsidiary/Advanced Level in GCE Mathematics

Jun 08, 2019 · Edexcel GCE Mechanics M2 (6678) 6678 Mechanics June 2005 Advanced Subsidiary/Advanced Level in GCE Mathematics June 2005 6678 Mechanics M2 Mark Scheme Question Number Scheme Marks 1 (a) Driving force v P B1 –1600 35 21000 v v m s M1 A1 (3) (b) 14 1

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