Page 1 of 10 ASSIGNMENT BRIEF 30303112: Functional physics Course No.: For use with the following qualifications: - HTU Technical Degree in Engineering - HTU B.Sc. Degree in Engineering Assignment Brief Number: Version 1 1 1 Page 2 of 10 Assignment Brief Student Name/ID Number/Section HTU Course Number and Title Academic Year Assignment Author Course Tutor Assignment Title Assignment Ref No Issue Date Formative Assessment dates Submission Date IV Name & Date 010303110: Functional physics 2020/2021 Ismail Hammoudeh Ismail Hammoudeh Motion in one and two dimensions Assignment 1 14 August 2021 15 August 2021 Dr. Mohammad AlAzzeh Submission Format Provide your answers on separate A4 sheets. Write your name and the page number on each sheet. Handwriting must be clear. Box your final answers. This is a strictly individual assignment and no collaboration amongst students is allowed. You must include all the relevant steps, information, calculations, diagrams, etc…. Unit Learning Outcomes LO1- Understanding physical quantities with different units of measurements. LO2- Acquire knowledge and understanding of physical facts, terminology, concepts related to kinematics 2 Page 3 of 10 Assignment Brief and Guidance Question 1 A) A stone was thrown vertically upwards from the top of a building that is160 m heigh with an initial speed of 10 m/s at time tin=0. When the stone returned, it missed the edge of the building and went to collide with the ground at time t=tf. For the whole time interval, when the stone was in the air, calculate the following 8 physical quantities numerically (assuming g = 10ms-2). [Put the final answers in the table to the right] B) A car was moving with a constant speed of 75 km/h passed by a policeman, who decided to catch it and give it a ticket. After a delay of 5 seconds, the policeman was following the car with a constant speed of 80 km/h. When he caught up with the car: (1) what was the covered distance from the first point they met? …………………… (2) after how many seconds after their first meeting was that? ……………………… (3) Draw a suitable graph of motion that explains, how to solve this problem C) Saeed drives from home to the university in 3 phases: Phase 1) constant acceleration of the car from rest to a speed of 93.6 km/h in 11 seconds, Phase 2) constant speed for 36 seconds. Phase 3) constant decelarion beginning at a distance of 320 m before the university park place. - 3 Sketch the relevant (v-t)- and (x-t)graphs Calculate: Page 4 of 10 (1) His average speed in km/h ………………………. (2) His acceleration one second before he parks …………………… (3) The driving duration Δt …………………….. (4) The distance between his home and the university …………………… Question 2: A) {Q}SI is the unit of Q in the SIsystem. {Q}French is the unit of Q in the cm-g-s-system. Work is force times displacement. The ratio, {Work}SI/{Work}French = 10n. Calculate n n= B) The force acting on an object is a function of time: F(t)= a t + b t2, where t is time measured in seconds and F is Force measured in Newtons. a. What is the difference between Newtons and seconds in the SI-system? ………………………………………………………………………………………………………………………………………. b. Calculate the dimensions of the constants, a and b: c. Find the SI-unit of a2b [a]= [b]= {a2b}SI= C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= βn1 ππ n2 πΊπΊ n3 where: the Plank constant: β = 1.0545717260000002 x 10−34 kg m2 s −1 the light speed: c = 299792458 m/s and the universal constant of gravity: = 6.673848 x 10−11 kg −1 m3 s−2 n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. Example: {velocity}Plank=c=3.00x108 m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= Time {t}Plank (3 significant figures) n2= {t}Plank= x 10or m/s2 [find n1, n2, n3 and take n3= special care of the order of magnitude] D) Find the area of Palestine in square miles: APalestine=27000km2= x mile2. Find x. Use: 1 mile=5280 ft … 1ft=12 inch … 1inch=2.54 cm x= 4 Page 5 of 10 Question.3 Match the following a-v-x-graphs of motion (one case is solved) 5 Page 6 of 10 Question 4: A masspoint follows the shown trajectory from point A to point E according to the equations of motion: x(t) = 5 cosπt + 3 ; y(t) = 5 sinπt – 4 (in relevant SI-units). Part I: For point D consider the following 5 physical quantities Qi, i=1…5: time – position – speed – velocity – acceleration 1. Which are scalars? ………………………………… ……………………………………………………………………… 2. Which are vectors? Sketch them on the plot………………………………………………………………… ……………………………………………………………………… 3. Calculate all 5 quantities: tD=………………………………………………………………… xD=……………………………………………………………… SpD=…………………………………………………………… vD=……………………………………………………………… aD=……………………………………………………………… 4. Which 2 vectors are perpendicular to eachother? Why? …………………………………… ………………………………………………………………………… ………………………………………………………………………… 5. Find a point P among {A,B,C,E} where QP=QD for one of the 5 Qs. What is the physical quantity, Q, and what is the point, P? Q=…………………………………………, P=………………………………………… Part II: Consider the distance and displacement between A and E. 1. Are they vectors or scalars? …………………………………………………………………………………………………………… 2. Compare their magnitudes (use <>=) ……………………………………………………………………………………………… 3. Calculate their magnitudes: |DistanceAE|=……………………………………..……………………|DisplacementAE|=………………………………………………… Part III: Consider the acceleration at point C and the average acceleration between B and D 1. Are they vectors or scalars? …………………………………………………………………………………………………………… 2. Compare their magnitudes (use <>=) ……………………………………………………………………………………………… 3. Calculate their magnitudes: |aC|=……………………………………..……, |<a>BD|= ………………………………………… 4. If they have directions, compare them: …………………………………………………………………………………………… 5. What is the cause of acceleration according to dynamics? ………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… 6. Give some physical examples of such causes……………………………………………………………………………… 7. Show that this motion is in some sense UNIFORM ……………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………… 6 Page 7 of 10 Question 5: The figure shows the motion of a light table tennis ball under the Influence of a constant net force consisting of constant gravity and constant wind force. A is the take-off point, B is the point with maximum height, h, and C is the point of impact with the ground, R meters (range) away from the take-off point, A. The equations of motion (in relevant SI-units) are: x(t)=-t2+2t and y(t)=-3t2+3t The acceleration due to gravity is everywhere: agr=-10 j m/s2 1. Show that this motion is uniformly accelerated (Find anet) ………………………………………………………………………………… ……………………………………………………………………………………… …………………………………………………………………………………………… ………………………………………… Sketch agr , aw (acceleration due to wind force) and anet at point B (with correct ratios) What is the geometric name of this path of the projectile? …………………………………………………………………………………… Compare the speeds at A, B, and C (use <=>) …………………………………………………………………………………… Calculate the speeds at A, B, and C [vA=……………………………………………………., vB=………………………..………….……………., vC=………………………………………….] 6. Estimate the distance covered by the projectile between A and C [D=…………………….…………………….] 7. Calculate the average velocity between A and C 2. 3. 4. 5. 8. [ <v>= .………………………………………………i + j] Now, with no wind, the challenge is to repeat the experiment with a small solid glass ball preserving the height and the range of the light table tennis ball. See the required path (dashed green path) ..…………………….………………………… 1. Determine the take-off angle [θ= ……………………………………………………………] 2. Calculate the initial speed [v0 =…………………………………………………………….] 3. Determine the position, where the projectile has its minimal speed [x=………………..…………………, y=……………………..………..………..……] 4. Determine the time when the projectile has its minimal speed [t=……………………...…….…………….] 5. Calculate the minimal speed of the flying projectile [vmin=…………………..……………………] 6. Calculate the average velocity between A and C [ <v>=.……………………………………………i + ..…………………………………………… j ] 7 Page 8 of 10 Learning Outcomes and Assessment Criteria Learning Outcome Pass LO1- Understanding physical P1 Use and convert quantities with different units unit systems for of measurements. various physical quantities P2 Differentiate between vector and scalar quantities Merit M1 Obtain the units of derived quantities in terms of base units M2 Apply dimensional analysis to validate the correctness of physical expressions P3 Identify the base and derived physical quantities and LO2- Acquire knowledge and understanding of physical facts, terminology, concepts related to kinematics P4 Demonstrate basic understanding of kinematic quantities for motion in simple 1D P5 Demonstrate basic understanding of freely falling situation and M3 Compare the kinematic values obtained from analytical methods to the quantities derived from calculus M4 Carry out calculations and procedures to effectively evaluate a freely falling P6 Construct or read graphs relating physical situation and find all quantities and requested information effectively employ graphs to solve a given M5 Carry out calculations and problem. procedures to effectively evaluate a 2D motion problems 8 Distinction D1 Critically suggest logical values for specific fundamental and derived quantities. D2 Apply dimensional analysis to derive certain physical expressions D3 Critically analyze a given situation and predict the results for a certain problem based on the data given D4 Carry out calculations and procedures to effectively evaluate a projectile situation and find all requested information. Page 9 of 10 STUDENT ASSESSMENT SUBMISSION AND DECLARATION When submitting evidence for assessment, each student must sign a declaration confirming that the work is their own. Student name and No.: Issue date: 14/08/2021 Assessor name: Submission date: Submitted on: 15/08/2021 Programme: BTEC Course Number and Title:: --------HTU Course Number and Title : functional physics Assignment number and title: 1 Plagiarism Plagiarism is a particular form of cheating. Plagiarism must be avoided at all costs and students who break the rules, however innocently, may be penalised. It is your responsibility to ensure that you understand correct referencing practices. As a university level student, you are expected to use appropriate references throughout and keep carefully detailed notes of all your sources of materials for material you have used in your work, including any material downloaded from the Internet. Please consult the relevant unit lecturer or your course tutor if you need any further advice. Student Declaration Student declaration I certify that the assignment submission is entirely my own work and I fully understand the consequences of plagiarism. I understand that making a false declaration is a form of malpractice. Student signature: 9 Date: Page 10 of 10 Kinematics Equations you may need: ο For Particle Under Constant Velocity: π₯π₯ππ = π₯π₯ππ + π£π£π₯π₯ π‘π‘ ο For Particle Under Constant Acceleration: π£π£π₯π₯π₯π₯ = π£π£π₯π₯π₯π₯ + πππ₯π₯ π‘π‘ π£π£π₯π₯π₯π₯ + π£π£π₯π₯π₯π₯ π£π£π₯π₯,ππππππ = 2 1 π₯π₯ππ = π₯π₯ππ + (π£π£π₯π₯π₯π₯ + π£π£π₯π₯π₯π₯ )π‘π‘ 2 1 π₯π₯ππ = π₯π₯ππ + π£π£π₯π₯π₯π₯ π‘π‘ + πππ₯π₯ π‘π‘ 2 2 2 2 π£π£π₯π₯π₯π₯ = π£π£π₯π₯π₯π₯ + 2πππ₯π₯ (π₯π₯ππ − π₯π₯ππ ) 10