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Paper Reference(s)

6677

Edexcel GCEMechanics M1

Advanced Subsidiary

Wednesday 12 January 2005 Afern!!n

"i#e$ 1 h!ur %0 #inues

Maerials re&uired f!r exa#inai!n 'e#s included (ih &uesi!n )a)ers

Mathematical Formulae (Lilac) Nil

Candidaes #ay use any calcula!r E*CE+" h!se (ih he faciliy f!r sy#b!lic

al,ebra- differeniai!n and.!r ine,rai!n/ "hus candidaes #ay " use

calcula!rs such as he "exas 'nsru#ens "' 3- "' 32- Casi! C4* 3370G-

e(le +acard + G/

'nsruci!ns ! Candidaes

In the boxes on the answer book, write the name of the examining bo! ("excel), !our

centre number, caniate number, the unit title (Mechanics M#), the paper reference ($$%%),

!our surname, other name an signature&

'heneer a numerical alue ofgis reuire, takeg* +& m s-&

'hen a calculator is use, the answer shoul be gien to an appropriate egree of accurac!&

'nf!r#ai!n f!r Candidaes

. booklet /Mathematical Formulae an 0tatistical 1ables2 is proie&

Full marks ma! be obtaine for answers to .LL uestions&

1his paper has seen uestions&

1he total mark for this paper is %3&

Advice ! Candidaes

4ou must ensure that !our answers to parts of uestions are clearl! labelle&

4ou must show sufficient working to make !our methos clear to the "xaminer& .nswers

without working ma! gain no creit&

N#$%56.1his publication ma! onl! be reprouce in accorance with Lonon 7ualifications Limite cop!right polic!&8-663 Lonon 7ualifications Limite&

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1/ . particle Pof mass #&3 kg is moing along a straight hori9ontal line with spee : m s;#&

.nother particle Qof mass -&3 kg is moing, in the opposite irection, along the same straight

line with spee 5 m s;#& 1he particles collie& Immeiatel! after the collision the irection of

motion ofPis reerse an its spee is -&3 m s;#&

(a)

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%/ 4i,ure 2

spee

(m s;#)

+

u

O 5 -6 -3 time (s)

. sprinter runs a race of -66 m& >er total time for running the race is -3 s& Figure - is a sketch

of the spee?time graph for the motion of the sprinter& 0he starts from rest an accelerates

uniforml! to a spee of + m s;#in 5 s& 1he spee of + m s;#is maintaine for #$ s an she then

ecelerates uniforml! to a spee of um s;#at the en of the race&

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/ 4i,ure %

P

XN

-6

. particlePof mass -&3 kg rests in euilibrium on a rough plane uner the action of a force of

magnitueXnewtons acting up a line of greatest slope of the plane, as shown in Figure :& 1he

plane is incline at -6to the hori9ontal& 1he coefficient of friction betweenPan the plane

is 6&5& 1he particle is in limiting euilibrium an is on the point of moing up the plane&

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5/ 4i,ure

A(6&3 kg)

P

B(6& kg)

. block of wooAof mass 6&3 kg rests on a rough hori9ontal table an is attache to one en

of a light inextensible string& 1he string passes oer a small smooth pulle! Pfixe at the ege

of the table& 1he other en of the string is attache to a ball Bof mass 6& kg which hangs

freel! below the pulle!, as shown in Figure 5& 1he coefficient of friction between Aan the

table is & 1he s!stem is release from rest with the string taut& .fter release, Bescens a

istance of 6&5 m in 6&3 s& MoellingAanBas particles, calculate

(a) the acceleration ofB,

8%9

(b) the tension in the string,

89

(c) the alue of &

859

(d) 0tate how in !our calculations !ou hae use the information that the string is

inextensible&

819

N#$%56. 3

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6/ . stone Sis sliing on ice& 1he stone is moing along a straight lineABC, whereAB* -5 m

anAC* :6 m& 1he stone is sub@ect to a constant resistance to motion of magnitue 6&: N&

.tAthe spee of Sis -6 m s;#, an atBthe spee of Sis #$ m s;#&