INTO Manchester NCUK International Foundation Programme Physics End of Semester 1 Examination January 2016 IM Number …………………… Question Max A1 8 A2 7 A3 7 A4 3 A5 7 A6 6 A7 5 A8 10 A9 7 B1 20 B2 20 B3 20 Marks Checked Marks Agreed Marks Time allowed is 2 hours plus 5 minutes reading time. Section A: Answer all questions. This section carries 60 exam marks Section B: Answer two questions. This carries 40 exam marks. Answer all questions in blue or black ink in the spaces provided. No answers are to be written in the first 5 minutes. The number of marks for each question is shown in brackets. Note that there are different marks for each question. Do the questions in any order. You may use a calculator in the examination. Write numerical answers to the correct number of significant figures (three) and use the correct units. You will gain maximum marks for answers that are written clearly and show clearly the reasoning that you have used to obtain the answer. The total number of marks for the paper is 100. It is essential that your written English is clear, accurate and expressed in as few words as possible. No written material is permitted in the examination room. No mobile phones are permitted in the examination room. 1 IFY Physics January 2016 | INTO Manchester Total 100 Section A Answer all questions from Section A A1 An ideal gas is contained in a spherical container of diameter 15 cm. Its temperature is 15 oC and it exerts a pressure of 2.85 atm on the walls of the container. a) Calculate the volume of the container in m3. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [2] b) Calculate the number of moles of gas in the container. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] c) The gas is heated to 65 oC. What will be the new pressure inside the container? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] 2 IFY Physics January 2016 | INTO Manchester A2 The battery in the circuit below has negligible internal resistance. A4 A1 A2 A3 Calculate the readings on the ammeters: i) A1 _________________________________________________________ ___________________________________________________________________ ii) A2 _________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ iii) A3 _________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ iv) A4 _________________________________________________________ ___________________________________________________________________ [7] 3 IFY Physics January 2016 | INTO Manchester A3 A spring has a mass of 2.2 kg attached to it and it extends by 4.0 cm. a) Calculate the spring constant. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] b) An identical spring is attached in parallel with the first spring. i) What will be the new spring constant of the spring combination? ___________________________________________________________________ [1] ii) What will be extension of the spring combination in cm, if a mass of 5.7 kg is attached to it? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] A4 Use dimensional analysis to show that the unit of pressure, the pascal, is equivalent to kg s-2 m-1. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] 4 IFY Physics January 2016 | INTO Manchester A5 Below is a capacitor combination. a) Calculate the total capacitance of the combination. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] b) How much charge would be stored on the capacitor combination if a pd of 12 V were applied to it? ___________________________________________________________________ ___________________________________________________________________ [2] c) How much energy would be stored by the capacitors? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [2] 5 IFY Physics January 2016 | INTO Manchester A6 a) A coin is dropped from the top of a building of height 17.8 m. Calculate the time for the coin to hit the ground. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [4] b) In reality it will take a slightly longer time to hit the ground. Explain why. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [2] A7 A wire has a diameter of 0.46 mm. a) Calculate its cross-sectional area in m2. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [2] b) The wire is 2.8 m long and is made of a material with a resistivity of 4.9x10-7 m. Calculate the resistance of the wire. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] 6 IFY Physics January 2016 | INTO Manchester A8 A kettle is rated at 230 V, 2400 W. a) What is the resistance of the kettles element? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] b) The fuse in the plug for the kettle can be either: 3 A, 5 A, 10 A or 13 A. Choose the appropriate fuse for the plug. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [2] c) If the kettle is 85% efficient how much power reaches the water inside the kettle? ___________________________________________________________________ ___________________________________________________________________ [1] d) How long will it take the kettle to bring 1.4 litres of water from 18 oC to boiling point? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [4] 7 IFY Physics January 2016 | INTO Manchester A9 Below is a velocity/time graph. 10 8 6 4 2 0 0 5 10 15 20 25 30 Time / s a) Calculate the acceleration for the first 5 seconds. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [2] b) Calculate the total distance covered. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [5] 8 IFY Physics January 2016 | INTO Manchester THIS PAGE IS INTENTIONALLY BLANK 9 IFY Physics January 2016 | INTO Manchester Section B Answer two questions from Section B B1 a) A person stands at the edge of the roof of a building that is 15 m high. They throw a ball at a velocity of 12 m s-1 at an angle 350 above the horizontal. i) What will be the balls maximum height above the ground? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [5] ii) How long will it take for the ball to hit the ground after being thrown? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [5] iii) How far from the building will the ball hit the ground? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [3] 10 IFY Physics January 2016 | INTO Manchester b) A steel wire is 3.16 m long and is attached to a fixed support. A load of 4.65 kg is suspended from the other end and causes the wire to stretch by 0.362 mm. The Young’s modulus for steel is 2.11 x 1011 N m-2. Determine the diameter of the wire. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [7] 11 IFY Physics January 2016 | INTO Manchester B2 a) An ice cube of mass 15 g is taken from a freezer at -19 0C. It is placed into a beaker containing 100 g of water at 25 0C. Assume there is no transfer of heat between the beaker and the water/ice mixture. What will be the final temperature of the beaker of water? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [7] b) A 22 F capacitor is charged to 12 V. It is discharged through a 300 k resistor. How long will it take for the voltage to fall to 5.8 V? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [4] 12 IFY Physics January 2016 | INTO Manchester c) The circuit below is a potential divider containing a resistor and thermistor. The graph shows the electrical/thermal characteristics of the thermistor. Calculate the output voltage, VOUT, when the temperature is: i) 30 0C __________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ii) 90 0C __________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [5] d) A bulb is rated at 230 V, 40 W. How many electrons will flow through it in 1 minute? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ 13 IFY Physics January 2016 | INTO Manchester [4] B3 A student conducts an experiment on a cell to investigate its internal resistance. They use the circuit below. You will find this equation useful: V = -r I The results of the experiment are in the table below. Current / A 0 0.5 1.0 1.5 2.0 2.5 3.0 Voltage / V 1.45 1.44 1.36 1.30 1.26 1.23 1.12 Repeat voltage / V 1.49 1.44 1.38 1.32 1.24 1.19 1.14 Average voltage / V 1.47 1.44 1.37 a) Complete the table by calculating the average voltage for the last 4 sets of data. [3] b) Draw a graph of average voltage (y-axis) against current (x-axis) using the graph paper opposite. Include a line-of-best-fit. [7] 14 IFY Physics January 2016 | INTO Manchester 15 IFY Physics January 2016 | INTO Manchester c) Find the gradient of the graph. Do not use values from the table, you must use the graph. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [4] d) What is the internal resistance of the cell? ___________________________________________________________________ [1] e) Use the graph to find the emf of the cell. ___________________________________________________________________ [1] f) Two flasks, A and B, are joined by a thin tube with a valve, X, as in the diagram. The valve is initially closed. A x B Flask A has a volume of 150 cm3 and contains 0.5 moles of a gas at 30 0C. Flask B has a volume of 45 cm3 and contains 0.2 moles of the same gas at 30 0C. i) Calculate the pressure in each flask. Flask A _____________________________________________________________ ___________________________________________________________________ Flask B _____________________________________________________________ ___________________________________________________________________ ii) The valve is opened and the gases mix. Calculate the pressure in the flasks. Assume the temperature stays at 30 0C. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ [4] 16 IFY Physics January 2016 | INTO Manchester