8/6/2019 M2 June 2011 Unofficial MS

1/10

Ma9\rNg ll1. A car of mass1000kg moveswith constant peedz m s-' up a straigh

an angled to the horizontal.wheresind= $. Theengineof the car s wof 12kW.Theresistanceo motion rom non-gravitationalorceshasmaFind thevalueof tr/.

' 5@+

8/6/2019 M2 June 2011 Unofficial MS

2/10

2. A particleP of mass??s moving n a straight ine on a smoothhorizospeed zr.TheparticleP collidesdirectlywith aparticleQ of mass3m wthe surface. hecoefficient f restitution etween andQ is e. The dirofP is reversed y the collision.IShowhat e>:.

8/6/2019 M2 June 2011 Unofficial MS

3/10

3. A ball of mass0.5 kg is movingwith velocity12i m s-l when t is struckbimpulse eceived y the ball is ( 4i +7j) N s.By modelling he ball asapar(a) the speed f the ball immediately fter he mpact,

(b) the angle,n degrees, etween he velocityof the ball immediately ftand he vector ,

(c) the kineticenergy ained y the ball asa resultof the mpact.

L\+1'.

8/6/2019 M2 June 2011 Unofficial MS

4/10

r' +a B

-d\9t,/E

9r qD

Figure1Figure 1 showsa uniform laminaABCDE such hat ABDE is a rect,4.8 Ca andAE :2a. ThepointF is themidpoint f BDandFC:a'(a) Find, n termsof a, the distance f thecentre f massof the amina

s4.

8/6/2019 M2 June 2011 Unofficial MS

5/10

5 .

2A' j o - _ _ _ _Figure2

A particle P of mass0.5 kg is projected rom a point I up a line of greatefixed plane.The plane is inclined at 30oto the horizontal andAB : 2 m was shown in Figure 2. The particle P passes hrough B with speed5 m ssmooth rom I to B.

8/6/2019 M2 June 2011 Unofficial MS

6/10

6. A particleP moves n hex-axis.TheaccelerationfP at ime secondssthepositive -direction. hevelocityof P at timeI secondss v m s-1'WhFind(a) v in termsof r,

(b) thevaluesof I whenP is instantaneouslyt rest,

(c) thedistance etweenhe wo pointsatwhichP is instantaneouslyt

8/6/2019 M2 June 2011 Unofficial MS

7/10

1D

1aIFigure3

AuniformrodlB,ofmass3rnandlength4a,isheldinahorizontlagainstaroughvert icalwall .oneendofal ight inextensiblest

8/6/2019 M2 June 2011 Unofficial MS

8/10

i 6q+3zC = lSa. =) 3>c=4o. =..) )Cb) 4t 10- tt I!4t =ErS, + -c) ({f=o a Sr.,tron 6^9:-S =

8/6/2019 M2 June 2011 Unofficial MS

9/10

8, A particle is projected rom a point O with speedu at an angleof elevationahorizontal and moves freely under gravity When the particle has moved adistancer, ts heightaboveO isY.(a) Show hat

v = xtana - .8t ,' Zu ' cos 'a

A girl throwsa ball from a point ,4 at the top."i t ttlf The point I is 8 ',oi"ontut U"u.t . Theball s projected ith speed m s I at anangleof elevaBy modellingheball asaparticlemoving reelyundergraviry(b)f indthehorizontaldistanceofthebal l fromlwhenthebal l islmab

A boy is standing n thebeachat thepointB verticaliy^elow ' He startsstraijht inewith speed m s-t, leavingB 0'4 seconds fter heball is throwHe catchesheball when t is I m abovehebeach'

8/6/2019 M2 June 2011 Unofficial MS

10/10

s2-V(r)

8.7226 .-.

-'. 1Ao- bo-r {ahos t.9026(,-. to catch w=J.i *J,.*o- V-=?L; g-'.JEg6!\t e 6:?!bnq-- 9-6.