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GCE MAY 2009 : AS, M1: Mechanics 1(Irish Medium)

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ADVANCED ADVANCED SUBSIDIARY (AS) General Certificate of Education January 2008 2009 Mathematics Matamaitic Aonad Meas naithe M1 Assessment Unit M1 ag meas n assessing Module M1: Mechanics 1 Mod l M1: Meicnic 1 [AMM11] THURSDAY 17 JANUARY, AFTERNOON D HAOINE 15 BEALTAINE, MAIDIN AM 1 uair 30 n im ad. TREOIR D IARRTH IR Scr obh d Uimhir L rionaid agus d Uimhir Iarrth ra ar an Leabhr n Freagra at leis seo. Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart na freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. T cead agat ireamh n grafach n eola och a s id sa ph ip ar seo. EOLAS D IARRTH IRI Is 75 an marc ioml n don ph ip ar seo. L ir onn figi ir idir l ib n ar thaobh na l imhe deise de leathanaigh na marcanna at ag dul do gach ceist n do gach cuid de cheist. Ba ch ir go mbeadh l ar id le do fhreagra san ait ar cu sin agus is f idir go mbronnfar marcanna orthu. Glac le g = 9.8 m s 2, mura ndeirtear a mhalairt. T c ip den leabhr n Foirml Matamaitice agus T bla ar f il. 4358 4358.04 Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba ch ir freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 Taispe nann F or 1 triant n ABC at dronuilleach ag B. T uillinn BCA = 50 T f rsa dar m id 5 N, 8 N agus 15 N faoi seach, ag feidhmi feadh sleasa AB, BC agus CA den triant n mar a thaispe ntar. A 5 15 50 B 8 C F or 1 Faigh m id agus treo chomhthoradh na bhf rsa seo. 2 [8] T slat chomhionann AB dar mais 80 kg agus dar fad 10 m ar fos i gcothroma ocht ar dh thaca P agus Q mar a thaispe ntar in F or 2 anseo th os. T AP = 2 m agus t QB = 3 m. 3 2 A P Q B F or 2 (i) Tarraing l ar id a thaispe nfaidh na f rsa seachtracha uile at ag feidhmi ar an tslat. [2] (ii) Faigh m id na bhfrithghn omhuithe ag P agus Q. [6] Cuirtear mais eile dar M kg ag B. (iii) Faigh M m t an tslat d reach ar t claonadh. 4358.04 2 [4] [Turn over 3 Caitear cloch in airde go hingearach faoi luas 14 m s 1 phointe P. (i) Faigh an uasairde a shroichfidh an chloch. (ii) Faigh an fad ama a mbeidh an chloch n os m n 8.4 m os cionn P. 4 [4] [5] T carr dar mais 800 kg ag tarraingt leant ra dar mais 200 kg feadh b thair chothrom naigh, mar a thaispe ntar in F or 3 anseo th os. T luasgh ar tairiseach 2 m s 2 faoin charr agus leant ir. Is 2400 N an f rsa tiom na a th irgeann inneall an chairr. Is iad 300 N agus R ni tan na friota ochta at ag feidhmi ar an charr agus ar an leant ir faoi seach. F or 3 (i) Tarraing l ar id a thaispe nfaidh na f rsa seachtracha uile at ag feidhmi ar an charr agus an leant ir. (ii) Faigh R, agus an teannas sa bharra tarraingthe idir an carr agus an leant ir. 5 [2] [7] T c ithn n, A, dar mais 0.4 kg ag gluaiseacht feadh t bla chothrom naigh mh n faoi luas u m s 1 Imbhuailfidh s go d reach le c ithn n eile, B, dar mais 0.6 kg at ar fos. I ndiaidh an imbhuailte beidh A ar fos. (i) Faigh, i dt arma u, luas B d reach i ndiaidh an imbhuailte. [4] (ii) Faigh, i dt arma u, an r og a thabharfaidh B do A. [3] 4358.04 3 [Tiontaigh an leathanach 6 Taispe nann F or 4 anseo th os bloc dar mais 10 kg tharraingt suas pl na garbh at claonta ag 30 leis an chothrom n ag f rsa dar 100 N at ag feidhmi comhthreomhar leis an phl na. Is 0.3 an chomh ifeacht fhrithchuimilte idir an bloc agus an pl na. 100 10 30 F or 4 (i) Tarraing l ar id a thaispe nfaidh na f rsa seachtracha uile at ag feidhmi ar an bhloc. [2] (ii) Faigh luasgh ar an bhloic. 7 [6] Ag am t soicind, t t > 0, is leis an chothrom id th os a thugtar luas v m s 1 c ithn n P at ag gluaiseacht i l ne dh reach v = t2 5t + 6 (i) Faigh na hamanna a mbeidh an c ithn n ar fos. (ii) Faigh slonn le haghaidh luasgh ar P ag am t. [2] (iii) Ag glacadh leis, ag t = 6, go mbeidh P ag gluaiseacht tr phointe targartha O, faigh slonn do s, fad P O, ag am t. [4] (iv) Uaidh sin, faigh an fad a bheidh gluaiste ag P sa ch ad 3 shoicind d ghluaisne. 8 [3] [4] T gluaisrotha ag taisteal feadh m tarbhealaigh dh righ chothrom naigh. Ag am t = 0 soicind rachaidh an gluaisrotha , at ag taisteal faoi luas 30 m s 1 agus ag luasgh ar faoi 0.2 m s 2, thart le carr p il n at ina stad. 5 shoicind ina dhiaidh sin rachaidh carr na bp il n ar th ir an ghluaisrotha , ag luasgh ar faoi 1 m s 2 Faigh an t-am a ghlacfaidh carr na bp il n teacht taobh le taobh leis an ghluaisrotha . [9] [Turn over

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Additional Info : Gce Mathematics May 2009 Assessment Unit M1 Module M1 : Mechanics 1 (Irish Medium)
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

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