COLLEGE OF FOUNDATION AND GENERAL STUDIES PUTRAJAYA CAMPUS FINAL EXAMINATION TRIMESTER /2017

Transcription

1 COLLEGE OF FOUNDATION AND GENERAL STUDIES PUTRAJAYA CAMPUS FINAL EXAMINATION TRIMESTER 1 016/017 PROGRAMME SUBJECT CODE : Foundaton n Engneeng : PHYF115 SUBJECT : Phscs 1 DATE : Septembe 016 DURATION : ½ hous INSTRUCTIONS TO CANDIDATES: 1. Ths pape conssts of TEN (10) questons n Pat A and FIVE (5) questons n Pat B n FIVE (5) pages.. Answe ALL questons n Pat A and ANY FOUR questons n Pat B. 3. Wte ALL answes n the answe booklet povded. 4. Wte the answe to each queston n Pat B on a new page. 5. A sheet of fomulas s povded at page 7. THIS QUESTION PAPER CONSISTS OF 7 PRINTED PAGES INCLUDING THIS COVER PAGE.

2 PHYF115, Tmeste 1 016/017 Constants: g = 9.80 ms - ; G = Nm kg - Pat A: Answe ALL questons. Each queston s woth maks. 1. Convet a value of 5.00 kgm -3 to gcm -3. State the answe n (a) 1 sgnfcant fgue; (b) 3 sgnfcant fgues.. A foce F = ( j k) N acts on an etended object, pvoted at the ogn. If the foce acts at the poston = ( j k) m, fnd the toque, F, on the object. 3. A stone s thown vetcall downwad. On ts wa down t passes pont A wth speed v and pont B, 3.00 m lowe than A, wth speed 1.50v. Calculate the speed v. 4. A socce plae kcks a ball and the ball takes off wth a speed of 40.0 ms -1 at an angle of 60.0 above the hoontal. Detemne the hoontal ange fo the ball. 5. Thee foces actng on a ball gven b F1 = ( j), F = ( j) and F3 = (4.00 +j). Detemne the mass of the ball f the ball acceleates at 4.00 ms An object has a knetc eneg of 75 J and momentum of magntude 5.0 kgms -1. Fnd the (a) speed and (b) mass of the object. 7. Two shuffleboad dsks of equal mass (0.500 kg each) ae nvolved n an elastc collson. Dsk 1 stkes a statona Dsk. Afte the collson, Dsk moves at a speed of 5.0 ms -1. Fnd the magntude of the mpulse mpated on Dsk dung the collson. 8. Fnd the cente of mass (cm, cm) fo a sstem that conssts of thee patcles wth masses M, M, and 3M. The thee patcles ae located at (5.00, 5.00) m, (5.00, 1.00) m, and (0.00, 0.00) m, espectvel. Page of 7

3 PHYF115, Tmeste 1 016/ A patcle of mass 4.00 kg moves n plane wth a constant speed of.50 ms -1 n the + decton along = 8.00 m. What s ts angula momentum elatve to the ogn? 10. A hoontal dsk has a adus of 3.00 m and a otatonal neta of 600 kgm about ts as. It s ntall spnnng at ads -1 when a 0.0-kg chld s at the cente of the dsk. The chld then walks to the edge of the dsk. When the chld eaches the edge, what s the fnal angula speed of the dsk? Page 3 of 7

4 PHYF115, Tmeste 1 016/017 Pat B: Answe ANY FOUR questons. Each queston s woth 10 maks. QUESTION 1 A hghwa cuve has a adus of 500 m. (a) At what angle should the oad be banked so that a ca tavelng at 100 kmh -1 has no tendenc to skd sdewas on the oad? Hnt: No fctonal foce. [4 maks] (b) If the cuve s not banked, what s the mnmum coeffcent of fcton equed between tes and oad that would keep a ca fom skddng at a speed of 100 kmh -1. Daw the fee bod dagam of the ca. [6 maks] QUESTION (a) Adam pulls a 0.0-kg caton wth a foce F acoss a hoontal floo at constant speed. If the coeffcent of knetc fcton between the caton and the floo s 0.600, calculate the wok done b the foce F n movng the caton a dstance of 3.00 m. [4 maks] (b) A 45.0-kg block s set nto moton up a fctonless nclned plane wth an ntal speed of 40.0 ms -1. Afte the block has tavelled a cetan dstance along the plane, ts speed eaches 35.0 ms -1. Detemne the vetcal dsplacement undegone b the block. [6 maks] Page 4 of 7

5 PHYF115, Tmeste 1 016/017 QUESTION 3 Fgue 1 shows a unfom dsk, wth mass M =.80 kg and adus R = 15.0 cm, mounted on a hoontal fed ale. A block wth mass m = 1.30 kg hangs fom a massless cod that s wapped aound the m of the dsk. If the block s eleased fom est at tme t = 0, calculate (a) the acceleaton of the fallng block and the tenson n the cod; [5 maks] (b) the angula acceleaton of the dsk; [ maks] (c) the otatonal knetc eneg of the dsk at t = 3.00 s. [3 maks] (Rotatonal neta of a dsk, ICM = ½ MR ) Fgue 1 Page 5 of 7

6 PHYF115, Tmeste 1 016/017 QUESTION 4 A fsh wth a weght of N s suppoted b a cable attached to an end of a 5.00-m od pvoted at the base. Anothe cable s attached fom the od to the wall to hold the sstem as shown n Fgue. The cables and the od ae massless W = N Fgue (a) Daw the fee-bod dagam of the sstem. [3 maks] (b) Calculate the tenson n the cable between the od and the wall. [3 maks] (c) Calculate the hoontal and vetcal foces eeted on the base of the od. [4 maks] QUESTION 5 A 300-kg object and a 550-kg object ae 6.00 m dstance apat. (a) Fnd the net gavtatonal foce eeted b the two objects on a 50.0-kg object placed mdwa between them. [5 maks] (b) At what poston (othe than nfnt) can a 50.0-kg object be placed to epeence a eo net foce fom the two objects? [5 maks] - END OF QUESTION PAPER - Page 6 of 7

7 Lst of fomulas fo PHYF115 m A Asn A Acos V A A A A B ABcos AB AB A B A B ABsn A B A B A B ˆ A B A B ˆj A B A PHYF115, Tmeste 1 016/017 B kˆ d v v av v a av t t d v dv a v u a t 1 v u at o ( u v ) t v u F ma a ( o ) R g u sn fs sn fk kn tan dv total dstance a Aveagespeed total tme 1 o ut at 1 o ut at u sn v a c H g 1 W F s Fs k mv W net K K U Wothe K f U f P F. v p dp mv F p p f p p I p d cm m m K U mg U 1 k f p p f cm m m cm m m d s v a c a t 1 o o o o t t o o 1 K I I Icm Md 1 1 I W I f I K dl L I m1m F G g F 1 F1 F31... Fn1 U ss G mm j o t t I m F L p F 0 0 M g G j j A A Page 7 of 7