Worksheet with Key on Uniformly Accelerated Particle Model, Exercises of Physics Fundamentals

Download Worksheet with Key on Uniformly Accelerated Particle Model and more Exercises Physics Fundamentals in PDF only on Docsity! .i Uniformly Accelerated Particle Model Worksheet � Quantitative Acceleration Problems 1. A poorly tuned car accelerates from rest to a speed of 28 m/s in 20 s. \/�o O� a. Make a well-labeled diagram ofthe situation. )- i_r-/i:.-:a-iiiJ,� ---;, 2.=�-===�---'-':..:;·:__"'.;,:·�'---b. Make a well-labeled graphical representation ofthe situation. �i\J'lLl'I \};�� \J i;., :r�'5" ,bl :e -;)..C"> c. List given quantities and quantities to :find as you determine: ,--i. What is the average acceleration ofthe car?!fii. How far d?es it trave! in this time? ) c;',0d V1,-Vf � O.� ? O..� 6.L -7 ,;,.ç - • V 30 6p--i �-\ti �� � �O"> ;O C\ � [1-�-:u ./� ' I I I V .Y iv / i i t lo I"> b.,e -::- ..l- • ;lOi � J'"?Pri . -··-·· . e;� ii9� . . \Jr.� 20'% - 15�, - --2:-AI t = O s a car has a speed of 30 m/s. After 6 s, 1ts speed 1s 15 m/s. • J '1 ç - 5 a. Make a well-labeled diagram ofthe situation. -----a:, "'�-'> _.., ➔ � b. Make a well-labeled graphical representation of the situation. c. List given quanti ti es and quantities to :find as you determine the car' s average accelerati on ducing this time intervaL J � ù-t,i(\ \J;:30� -'!:i-. \J ç � \ ':, .5 ,t,J-� (o-s, :\ • ;b'<'cl o.::. 7 \J I, -\J, b.� i i:;� - 3 D y � D. -e -�--- -- (ps ( p.l V --- -- j zc -,......_ \O 2 1-\ Uniformly Accelerated Partici� Model 3 . A student falls from tbe top of a 3 O meter tali building. ___ a. Make a well-labeled didfl""' of tbe situation. [ b. Make a well-labeled graphical representation oftbe situation. .. • . . . c. List given quantities and quantities to find as you determ . ine how fas . t tbe.,st\ident will be traveling just before impact "I .r.- � �'� h ç.,.,,,.__c\ Jon'/ k:"'o"' r,f hrst,' ' o""':: 5 G\ -· ·t"' 9, 9 '3 O•-" - - ✓ e_: : ? 't f:/c e ? 7 .. I 9J�·t2-· ;;i. -.\ � L\.cl.�� • t-z_ I A V /2 I i /']" I./ � ./ i i ./ i . o.= t:J t 7 li.\- . �e• � '°l I /'1 Cf V' � = /::,. \}. • <) ·, !c\·':f ��(.p,\.b::J:- c,:,,'f)' /•Os� J_,i,t'.h·""- 1 7 4. A bus initiailyl��� l aJ;o:1��-;Isecond. ,-; 4, )_ � � ·;J-Ja. Make a well-labeled diagram of tbe situati on. , \ .. .. . . .. -·- · -- b. Make a well-labeled graphical representation oftbe situation. c. List given quantities and quantities to find as you determine: 1. How much time does it take the busto stop? � 11. How far does it trave! while brabng? · .· .· V�� Jdt . _ 7 V( � Ho� :r: fu,� =--�o� -4-;_ p.2 JO V lO - -··-�·::·. r=l � -� � ➔ -� {, � '?-1\.t.,(;-rn ' ,,.. " '- ' " " ·' ["' t •. , ' " _\ -,:::-< • .;.1 D �i \� .l--''f> ::. 2 • ..l .., d- � \ D, � = - �Dv�,-\ Uniformly Aécelerated Particle Model Tue roblem A poorly tuned Yugo can accelerate from rest to a speed of 30 m/s in 20 s. a) What is the average acceleration ofthe car? b) What distance does it trave! in this time? 2. At t = O a car has a speed of 30 m/s. After 5 s, its speed is 15 m/s. 3. 4. What is its average acceleration during this time interval? A bear spies some honey and takes off from rest, lmnbering along at a constant velcoity of 5 m/s towards the honey. If the honey is 15 meters away how long does it take him to get tao it? A bus moving at 20 m/s (t = O) slows at a rate of 4 m/s each second. a) How Jong does it take the bus to stop? b) How far does it trave! while braking? Name ----'--Kl½-+-. ! __ I CONSTANT ACCELERATION WORKSHEET #;;} (-) (-) (+) l,; �" E o .._, )- (-) (�! .-.,I ù (.I) E o.._, )- (-) vvst ah JO l(s) f-. 1- 3 t(s) I Z. 3 1-\ S" l(s) C\0 a.oc Solution ,ù� - 1:5* • ci/O'> ___ J �.) . �,':1. bi)"-�, JO, · 3w \���:;.·3·�·�·�1 Worksheet 4 5. A car whose initial speed is 30 m/s slows unifonnly to I O m/s in 5 seconds. a) Detennine the acce!eration ofthe car. b) diagram the energy change that occur in these 5 seconds using bar graphs for E1 and E,. The system is only the car and the earth's mass and there is friction. 6. A dog runs down his driveway with an initial speed of 5 m/s for 8 s, then uniformly increases his speed to 10 m/s in 5 s. At the end of 5 s he reaches the end of the driveway. a) What was his acceleration during the 2nd part of the motion? b) How !on is the drivewav? 7. A pbysics student skis down a hill, accelerating at a constant 2.0 m/s2 . lf it takes her 15 s to reacb the bottom, what is the length ofthe slope (I.e., how far down the hill does she go). 8. A mountain goat starts a rock slide and the rocks crash down the s!ope 100 m. If tbe rocks reach the bottom in 5 s, what is their acceleration? 9. A caterpillar slinks along the ground at an astounding 0.5 m/s/s! lf zc, 'rji' (O E o f-----+---> ....,, :,. (-) ( ... � ..... "i E o (-) ( (-) (+) (-) , t(s) "8 I 3 t(s) 30.:J- 5s t(s) tbe catepillar does this ,,for twenty seconds what velocity will it reach? A. draw an acceleration time and a velocity time graph of tbe situation before solving for it 2 J._ ·ot; f - 3�:JG,� -.:....__.------- Solve for the answer using a grapbical method and a algebric m� �Slw"'-' 'I ,'v\ t'\,"- {;'r,\-- 6�. ‘Name Date Constant Acceleration Worksheet @ 5 While cruising along a dark stretch of road at a constant velocity of 2 m/s (~4.5 mph) you realize you are late for an appointment you quickly increase your velocity such that you are going 12 m/s (~27 mph) by 5.0 s later. Assume the clock starts the instant you start to increase your velocity. 1. Construct a motion map that represents the motion described above, inchuding position, velocity, and acceleration. Clearly demonstrate how you can determine the direction of the acceleration from the motion map representation. ny Sketch qualitative graphical representations of the situation described above to illustrate: a pvst bo OV vst ce ave Be sure to label the axes of the graphs. This means that you do not need to know amy of the actual values for thé motion. ‘init 'V CAM Worksheet 1