­BOBO‹”ó8d$$$$$$ō@•SÜ’’H”ņ¬Ę.i.‘’’”ó4’’’-Z’’’Charles E. Miller, Jr.f’’BLOM!` 8Y’’’xHHš@’ń’ī Rc(ühh° @d'’µ’¦- š’’•N@¦lĄ/Ą”ņ •V¤V/rV/r•”2•R ”” ”ņ¤[ä’’’’’’’’^n”DSETź½'į2”•SČ•SŌ•SŠ•™Š•S“Š•”hiKŠ•Ž8³óŠ•Ō@‰Š•™Ø —gŠ•”D üžŠ•W0  %67wx•– ± ¾ Ö ę ö    * 4 K&M&&Ā&ņ&ó*õ&Ŗ&÷&E&‰&Ø6¹6Ė6Ü6ė6ģ66;6f6g9i6B6š6ż6ž96¹66‘6Œ  $ 7 = v w x• –›œ ”§Ø©ŖÆ°¶·æĄÄÅĘÓŌŚŪŽįāåźėīńņõśūž  "&'+,01?@IJKMO)+Ž)-’)Ā-Ä)ó7õ-÷)Ŗ-¬)÷-ł)E-G)‰-‹)Ø8©:Ŗ8Æ:°8·:ø8ŗ:»8æ:Į8É:Ź8Ģ:Ķ8Ņ:Ó8Ś:Ū8Ż:ź8ģ:ī8:8 : 8 : 8:88:98;:=8H<Q8V<_8c:d8gDi:k8B:D8š:œ8¹:ŗ8æ:Ą8į<ķ8ž;:8¹:»8ö<ł8HIH6I7H<I=H^JjH‘:“8€Kppp÷`”Ø“óćėćėć÷`”Ø“gK€†€†€÷`”Ø“ž ^‹a‹a‹÷`”Ø“F•SÄF•SĄ`‚•SøFPHY 1151 Spring 2000 First Hour Exam February 4, 2000 Name: Possibly useful information: s = si + vi t + (1/2) a t2 v = vi + a t v2 = vi2 + 2 a (s - si) sin q = opp/hyp cos q = adj/hyp tan q = opp/adj F = m a F12 = Š F21 fs,max = µs n fk = µk n g = 9.8 m/s2 Å 10 m/s2  1. A car starts from rest and accelerates at a constant 4.2 m/s2. a) How far has it gone when its speed is 35 m/s? b) Convert 35 m/s to a speed in units of km/h.  2. A ball is thrown from a third-floor balcony, 7.0 m above the parking lot below. The ball is thrown with an initial velocity of 10 m/s, at an angle of 37” above the horizontal. a) What are the horizontal and vertical components of its initial velocity? b) How long is the ball in the air, before it strikes the parking lot below? c) How far from the building does it strike the parking lot below? 3. Add the following vectors: A = 3 i + 4 j B = 5 i - 6 j C = 7 i - 8 j R = A + B + C a) Write the resultant R in i, j-notation. b) Make a reasonable sketch of R. c) Find the magnitude and direction ‚of R.  4. A 2 kg block sits on a smooth (frictionless) plane inclined 20” above the horizontal. It is connected by a string to a 5 kg mass that hangs suspened from the other end of the string as shown in the sketch above. a) Draw clear, complete Ņfree-bodyÓ diagrams showing all the forces on the two masses. b) Apply NewtonÕs Second Law, F = m a, to the two masses and find the acceleration of the system.  5. A 2-kg block slides down a plane inclined at 20” from the horizontal as shown in the diagram above. The coefficient of sliding friction between the block and the plane is µ = 0.2. a) Make a good, clear, complete Ņfree-body diagramÓ showing all the forces on the 2-kg mass. b) Apply NewtonÕs Second Law, F = m a, to the two masses and find the acceleration of the block down the inclined plane. c) How fast will the block be moving when it has traveled 1.0 m down the plane?Z’’NDSET‚’’.H’’’’’’•Ž\pQą\ń’’6’’*QąDSET ’’.H’’’’’’•™ˆŻH ĄAąŽ@•Ą!HHŻ "ƒl«#uĒ$6’’*R€˜Z˜Z£’ ’’’’£”¶K 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