Ollscoil na hÉireann Gaillimh National University of Ireland Galway Semester I Examinations, 2017/2018 Exam Code(s) Exam(s) 1BMS1, 1BO1, 1BPC1, 1BPT1, 1BS1, 1EH1, 1EM1, 1MR1, 1OA1, 1OS1, 0MB3 1st Science Foundation Medical Module Codes PH101, PH1101 Module(s) Physics Paper No. Repeat Paper Paper I ___________ External Examiner(s) Special Paper ____________ Prof. Malcolm Sperrin Dr Eamonn Cunningham Dr Gerard O’Connor *Dr Ray Butler *Dr Niall Colgan *Dr Gary Gillanders *Dr Mark Lang Internal Examiner(s) Instructions: Answer Question 1 (30 marks), and TWO other questions (20 marks each). The total marks for the paper are 70. Note: You should state the correct units for all numerical answers. Some physical constants and data are listed at the end of the paper. Duration Number of Pages Discipline(s) TWO HOURS 6 School of Physics Requirements: Release in Exam Venue Yes MCQ Yes Handout Statistical/ Log Tables Cambridge Tables Graph Paper Log Graph Paper Other Materials Graphic material in colour None State Examinations Commission Formulae and Tables None None None None Yes No X X No No Page 1 of 6 X Q.1 Compulsory question, answer all parts. [2 marks for each part]. a) How many cubic millimetres are there in one cubic metre? b) Indicate which of the following are scalars and which are vectors: displacement, distance, torque, pressure. c) A runner increases their velocity from 5.2 m s−1 to 7.8 m s−1 in 4.0 s. Calculate their acceleration. d) A train, with an initial velocity of 15 m s−1 along a straight track, accelerates at a constant 0.25 m s−2. Determine how far it travels before reaching a velocity of 20 m s−1. e) A smooth slope makes an angle of 65o to the horizontal. Determine the acceleration due to gravity down the slope. f) A 20-kg box sits on a flat surface. The coefficient of static friction is 0.73. Calculate the maximum static friction. g) A wheel has a diameter of 60 cm. It rotates 4.5 times per second. Calculate the speed of a point on the rim. h) A proton has a velocity of 6.3×104 m s−1. Determine its kinetic energy. i) An electron has a velocity of 3.0×105 m s−1. Calculate its momentum. j) A metre stick has a mass of 190 grammes. It is suspended from its 38-cm mark. Determine where you would have to hang a 150-gramme mass in order to balance the metre stick. k) An object of mass 120 grammes is suspended from a helical spring. The spring constant is 8.5 N m−1. Calculate the period with which the object will oscillate up and down. l) A brass bar is 1.2 m long. It is heated up from an initial temperature of 10oC to a final temperature of 75oC. Determine the increase in the length of the bar. m) 11.7 kJ of heat energy is transferred to a 1.5-kg object. The temperature of the object increases from 15oC to 35oC. Determine the specific heat capacity of the object and identify the material it is made from. n) The Sun has a surface temperature of 5800 K. Calculate the energy radiated per second by one square metre of the Sun’s surface. o) A flask has a volume of 4.5×10−3 m3 and contains a gas at a pressure of 2.8×105 Pa and a temperature of 320 K. Calculate the number of moles of the gas present. Page 2 of 6 Answer all parts (a) Define what are meant by the following terms: displacement, velocity, acceleration. [3 marks] [2 marks] (b) Write down the four kinematic equations. (c) An object of mass 3.7 kg starts at rest. It undergoes constant acceleration for an integer number of seconds and then constant deceleration. Its displacement over a 10second time interval is illustrated in the graph below. (i) Use the value of the displacement after 4.0 s to determine the acceleration in the initial phase. [3 marks] (ii) Using your answer from part (i) above, calculate the expected displacement of the object after 5.0 s and 6.0 s. Comment on your answers. Explain when the deceleration phase starts. [4 marks] (iii) Determine the deceleration in latter phase of the motion as accurately as you can. [4 marks] (iv) Determine how much work has been done on the object over the 10-second period. [4 marks] 15 14 13 12 11 10 Displacement (m) Q2. 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 Time (s) Page 3 of 6 7 8 9 10 11 Q3. Answer all parts (a) Write the formula for Newton’s universal law of gravity, explaining all terms used. [2 marks] (b) Explain what is meant by centripetal force. [2 marks] (c) Derive a formula for the relationship between the period of a satellite and the radius of its orbit. [4 marks] (d) The moon Triton orbits the planet Neptune every 5.88 days with an orbital radius of 3.55×105 km. Although Neptune is a gas giant we can still identify a “surface” at a distance of 2.48×104 km from the centre. (i) Calculate the mass of Neptune. (ii) Calculate the average density of Neptune. [4 marks] [3 marks] (iii) The tiny inner moon Naiad orbits Neptune in just 423 minutes. Determine how close this is to the planet’s surface. [5 marks] Q.4 Answer all parts (a) Define what are meant by the terms: force and pressure. State the SI unit in which each is measured. [3 marks] (b) Derive an expression for the pressure as a function of depth in a fluid. [4 marks] (c) Determine the total pressure at the bottom of a lake which is 15.0 m deep. [3 marks] [2 marks] (d) State Pascal’s principle. (e) A hydraulic system consists of a cylindrical input piston of radius 2.5 cm. The cylindrical output piston has a radius of 30 cm and a length of 90 cm and is made of steel. It is located at a height h = 1.50 m above the input piston as shown in the diagram below (which is not drawn to scale). The hydraulic oil has a relative density of 0.80. (i) Calculate the mass of the output piston. [2 marks] (ii) Determine the pressure on the input piston due solely to the column of hydraulic oil. [1 mark] (ii) Determine what force is required on the input piston to balance an 800-kg object on top of the output piston. [5 marks] Page 4 of 6 Q.5 Answer all parts (a) Briefly explain what are meant by the terms heat and temperature and state the SI unit in which each is measured. [3 marks] (b) Briefly describe three methods by which heat may be transferred from one location to another. In each case give one example. [6 marks] (c) A room with very well insulated walls, floor and roof has one window which has dimensions 85 cm × 55 cm. The window glass is 0.50 mm thick and has a thermal conductivity of 0.75 W m−1 K−1. The room is maintained at the temperature 18oC using a 1.8 kW electric heater. (i) Calculate the U-value for the window. [2 marks] (ii) Determine the outside temperature. [4 marks] (d) Write half a page about any physics related topic that has been in the news over the last year. [5 marks] Page 5 of 6 PHYSICAL CONSTANTS and DATA Absolute zero of temperature, 0 K Acceleration due to gravity, g Atomic mass unit, 1 u Atomic mass of copper Avogadro's number, NA Boiling point of nitrogen Boltzmann's constant, k Coefficients of linear brass thermal expansion of steel Density of air at STP (0 oC, 1 atm) Densities of copper lead mercury steel water Distance (mean) Earth to Sun Distance (mean) Earth to Moon Electron volt, 1 eV Electronic charge, e Gas constant, R Gravitational constant, G Mass of the electron, me Mass of the neutron, mn Mass of the proton, mp Mass of the Earth Mass of the Moon Mass of the Sun Melting points of lead mercury Permeability of vacuum, µo Permittivity of vacuum, εo k = 1/(4πεo) Planck's constant, h Radius of the Earth Radius of the Moon Radius of the Sun Refractive indices of glass water Resistivity of nichrome Specific heat copper capacity of lead water ice Specific latent heats lead of fusion of water Specific latent heats nitrogen of evaporation of water Speed of light in vacuum, c Speed of sound in air (15 oC) Standard atmospheric pressure Stefan’s Constant, σ Thermal conductivities glass of copper Young's modulus for steel = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = –273 oC 9.81 m s–2 1.6606 ×10–27 kg 63.54 kg kmol–1 6.02 ×1023 mol–1 77 K 1.38 ×10–23 J K–1 18 ×10–6 K–1 12 ×10–6 K–1 1.28 kg m–3 8960 kg m–3 11350 kg m–3 13600 kg m–3 7800 kg m–3 1000 kg m–3 1.50 ×1011 m 3.84 ×108 m 1.60 ×10–19 J 1.60 ×10–19 C 8.314 J K–1 mol–1 6.67 ×10–11 N m2 kg–2 9.11 ×10–31 kg 1.6749 ×10–27 kg 1.6726 ×10–27 kg 5.98 ×1024 kg 7.35 ×1022 kg 1.99 ×1030 kg 328 OC −39 OC 4π ×10–7 H m−1 8.85 ×10–12 F m–1 9.0 ×109 N m2 C–2 6.63 ×10–34 J s 6.38 ×106 m 1.74 ×106 m 7.0 × 108 m 1.50 1.33 1.0 ×10–6 Ω m 389 J kg–1 K–1 125 J kg–1 K–1 4180 J kg–1 K–1 2092 J kg–1 K–1 21 ×103 J kg–1 335 ×103 J kg–1 1.99 ×105 J kg–1 2.26 ×106 J kg–1 3.0 ×108 m s–1 340 m s–1 1.01 ×105 Pa 5.67 ×10−8 W m−2 K−4 0.9 W m–1 K–1 398 W m–1 K–1 2.1 ×1011 N m–2 Page 6 of 6