m2 june 2010 solutions

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    2. A particleP ofmass0.6kg is releasediom restandslidc''"i i -"tit "r""". Theplani s inclinedat 30"to thehoiizot" .p".5 fJ. t Civenthat tiction s theonlynon-graonP, fiod(a) the workdoneagainstrictionas he specd fP incre

    (b) thecoefficientof frictior betweeoheparticleand he

    \9'9t?c

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    A triangular tame s formedby cuttinga unifom rod into 3

    Gs)l2 cm9g

    Figure

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    A carofmass750kg is movingup a straightoad ncline. - L ^ ,where in d : -. Thc rcsistancco motionof thecar romconsta[tmagnitude newtons. hepowerdevelopedy thcar s movingat a constant peed f20 ms-1.(a) ShowhatR:260.

    Thepowerdevelopedy thecar'sengines now ncreaseresistarceo motion rom non-gravitationalorces emaithecar s movingup the oadat 20 ms I the car'saccele(b) Find hevalueof a.

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    lln lhis question {tnd areperpendicularunil vectors n aA ballofmass0.5 kg is frovingwith velociq/ 10i+ 24j) mlmmediately fter he mpact heball s movingwith velocFind(a) the magnitude f the mpulse f the baa n theball,

    (b) the size of the angle betweenhe vcctor i and the impball,

    (c) the knetic energy ost by the ball in the impact.

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    ln5

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    8. A smallball,! ofmass 3z is moving with speed in a straitablc.The ball collidesdirectly wiih anothersmall ball B o& towards alolg the samestraight i[e. The coefficientois I. The balls have he same adiusand canbe modelleda

    (a) Find(i) the speed fl immediately fter hecollision,(ii) the speed f B immediately fler hecollision

    Afterthe collisionB hitsa smoolh erticalwall which spmotionof B. The coellicient of restitutionbetween Band

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    so r^l"on6) fi,h!{* , }4Pa.nt t.l*.splrfoga.E +S t

    _hblr g^ 1S,,.