AQA A-LEVEL FURTHER MATHEMATICS 73673M PAPER 3 FINAL EXAM QUESTION PAPER - Copy

AQA A- m



LEVEL FURTHER MATHEMATICS 7367/3M PAPER 3 FINAL
m m m m m m m



EXAM QUESTION PAPER m m




(AUTHENTIC MARKING SCHEME ATTACHED).
m m m




A-level
FURTHER MATHEMATICS m




Paper 3 Mechanics
m m




Time allowed: 2 hours
m m m



Materials FormExaminer’smUse
 YoummustmhavemthemAQAmFormulaemandmstatisticalmtablesmbookletmformA‑ le
 velmMathematicsmandmA‑ levelmFurthermMathematics. Question Mark
 Youmshouldmhavemamscientificmcalculatormthatmmeetsmthemrequirementsmofmt
 hemspecification. 1
 YoummustmensuremyoumhavemthemothermoptionalmQuestionmPaper/AnswermBo 2
 okmformwhichmyoumarementeredm(eithermDiscretemormStatistics).mYoumwillmhave
2mhoursmtomcompletembothmpapers. 3
Instructions 4
 Usemblackminkmormblackmball‑ pointmpen.mPencilmshouldmonlymbemusedmformdrawin 5
g.
 Fillminmthemboxesmatmthemtopmofmthismpage. 6
 Answermallmquestions.
 Yoummustmanswermeachmquestionminmthemspacemprovidedmformthatmquestion. 7
Ifmyoumrequiremextramspacemformyourmanswer(s),musemthemlinedmpagesmatmthemend 8
mofmthismbook.mWritemthemquestionmnumbermagainstmyourmanswer(s).

 Domnotmwritemoutsidemthemboxmaroundmeachmpagemormonmblankmpages. 9
 Showmallmnecessarymworking;motherwisemmarksmformmethodmmaymbemlost. TOTAL
 Domallmroughmworkminmthismbook.mCrossmthroughmanymworkmthatmyoumdomnotmw
antmtombemmarked.
Information
 Themmarksmformquestionsmaremshownminmbrackets.
 Themmaximummmarkmformthismpapermism50.
Advice
 Unlessmstatedmotherwise,myoummaymquotemformulae,mwithoutmproof,mfrommthembooklet.
 Youmdomnotmnecessarilymneedmtomusemallmthemspacemprovided.


(JUN2273673M01) 7367/3M
PB/Jun22/E5

, 2
Domnotmwrit
emoutsidemth
embox
Answermallmquestionsminmthemspacesmprovided.




1 Themgraphmshowsmhowmamforce,mFmnewtons,mvariesmduringmam5msecondmperiodmofmtime.

Fm(N)

7




5 tm(s)

Calculatemthemmagnitudemofmthemimpulsemofmthemforce.

Circlemyourmanswer.
[1mmark]

17.5mNms 25mNms 35mNms 70mNms




1
2 Amcarmofmmassm1200mkgmismtravellingmatmamconstantmspeedmofm18mmmsm monmamstra
ightmhorizontalmroad.

Themcarmexperiencesmamtotalmresistivemforcemofm240mnewton

s.mCalculatemthempowermofmthemcar’smengine.

Circlemyourmanswer.
[1mmark]

900mW 4320mW 16m000mW 21m600mW




(02)
Jun22/7367/3M

, 3
Domnotmwrit
emoutsidemth
3 Threemparticlesmaremattachedmtomamlightmrod,mAB,mofmlengthm40m embox


cmmThemparticlesmaremattachedmatmA,mBmandmthemmidpointmofmth

emrod.mThemparticlematmAmhasmmassm5mkg

ThemparticlematmBmhasmmassm1mkg

Themparticlematmthemmidpointmhasmmassm4mkg

Findmthemdistancemofmthemcentremofmmassmofmthismsystemmfrommthemmidpointmofmthemr
od.mCirclemyourmanswer.
[1mmark]

4mcm 8mcm 12mcm 28mcm




Turnmovermformthemnextmquestion




Turnmover
s




(03)
Jun22/7367/3M

, 4
Domnotmwrit
emoutsidemth
4m(a) Statemthemdimensionsmofmforce. embox

[1mmark]

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4m(b) Themvelocitymofmanmobjectminmamcircularmorbitmcanmbemcalculatedmusingmthemformula

vm¼mGambrmc
where:

Gm¼mUniversalmconstantmofmgravitationminmNmm2mkgm2
mm¼mMassmofmthemEarthminmkg

rm¼mRadiusmofmthemorbitminmmetres
Usemdimensionalmanalysismtomfindmthemvaluesmofma,mbmandmc
[4mmarks]

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(04)
Jun22/7367/3M